**Answer: x = 65**

**Step-by-step explanation:**

**1) First find the mini triangles, left and right angles**

We will be calling the left one A and the right one B.

**2) Next use triangle sum to find B.**

62 + 50 + b = 180

b = 68

**3) Use triangle sum again to find A.**

53 + 80 + a = 180

a = 47

**4) Use triangle sum to find the top mini angle.**

47 + 68 + c = 180

c = 65

**5) Since x is in the vertical angle of c, they are equal**

c = x

**65 = x**

May you guys/girls please help me I have to submit this befoer mid night and I do not fail because my parents will get me , so may y'all please help me out!?

**Answer:**

Answer down below!

**Step-by-step explanation:**

Lets find a point on the graph that we can easily point out to start this problem

We can use the point (0,-3)

From there, we use rise/run to find our answer!

We go up 1 and over 1

**Thus, our slope is 1!**

**Answer:**

1

**Step-by-step explanation:**

slope = rise/run

choose any two points in the graph and count the left/right and up/down to get to that point it's hard to explain u can watch a yt video to completely understand

Please help me with this question !!!

**Answer:**

composition about loyalty

If Jackson kicked a soccer ball 12 times and made the shots into the goal 77% of the time, how many shots did he make?

Could possibly be 9.3 because if a player shoots a ball 12 times and makes it 9.3 times out of the 12 times the % would be 77.5%

it’s 9.24 or 87.78

explanation: 12/100= 0.12•77=9.24=87.78

explanation: 12/100= 0.12•77=9.24=87.78

What mass of titanium displaces 125.0 cm3, if the density of titanium is 4.51 g/cm3?

The **titanium **has a **mass ** value of 563.75 grams

From the question, the given parameters are

Density of titanium = 4.51 g/cm^3

Volume of benzene = 125.0 cm^3

The **mass **of the titanium is then calculated using

Density = Mass/Volume

Make **Mass **the subject of the formula

So, we have

Mass = Volume x Density

Substitute the known values in the above **equation**

So, we have the following equation

Mass =125.0 x 4.51

Evaluate the product in the equation

Mass = 563.75

Hence, the **mass **of the **titanium **is 563.75 grams

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You and a friend are riding your bikes to a restaurant that you think is east and that your friend thinks is north. You both leave from the same starting point, with you riding 16 miles per hour east and your friend riding 12 miles per hour north. After you travel 3 miles, at what rate is the distance between you changing?

The **distance **between you and your friend is changing at the **rate **of 28 miles per hour after you travel 3 miles.

According to situation,

You are going in east direction with a rate of 16miles per hour and your friend is going towards 12 miles per hour at the rate of 12 miles per hours.

Let us say you cover L distance in east direction and your friend covers B distance in north direction,

Time taken by you to cover 3miles,

**Time **=** Distance L/speed**

time = 3/16 hours.

Distance B covered by friend in 3/16 hours,

distance B = speed x time

Distance B = 3/16 x 12

**Distance B** = 9/4 miles.

As both are going **perpendicular **to each other,

The distance between you and your friend X can be calculated by the **Pythagoras theorem,**

X² = L² + B²

**Differentiating** with respect to time t,

2dX/dt = 2(L)dL/dt + 2(B)dB/dt

As we know,

dL/dt = 16 miles/hour and,

dB/dt = 12 miles/hour,

L = 3 miles,

B = 9/4 miles.

Putting all the values,

2dX/dt = 2(3)(16) + 2(9/4)(12)

dX/dt = 48 + 27

dX/dt = 75 miles per hour.

The distance between you and your friend will change at the **rate **of 75 miles/hour.

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A machine factory makes two and one 4th pounds of nails in one and a half hours at what rate in

pounds per hour does the machine make nails

The **machine **make nails at a **rate **of 8th pounds per hour

From the question, the given parameters are:

Amount of pounds of nails = 4th poundsNumber of time = half an hourThe **rate **in pounds per hour the **machine **make nails is then calculated as

Rate of making nails = Amount of pounds of nail/Number of time

Substitute the known values in the above **equation**

So, we have

Rate of making nails = 4th pounds/0.5 hour

Evaluate

Rate of making nails = 8th pounds per hour

Hence, the rate of **making nails **is 8th pounds per hour

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a police car is located 40 feet to the side of a straight road. a red car is driving along the road in the direction of the police car and is 200 feet up the road from the location of the police car. the police radar reads that the distance between the police car and the red car is decreasing at a rate of 80 feet per second. how fast is the red car actually traveling along the road? the actual speed (along the road) of the red car is feet per second

The actual speed (along the road) of the red car is 81.6 feet per second

**What is Pythagoras' theorem?**

The square of the **hypotenuse** side in a **right-angled triangle** is equal to the sum of the squares of the other two sides, according to** Pythagoras'** theorem.

Refer to the figure attached.

[tex]z^2=y^2+40^2[/tex]

[tex]z^2=y^2+1600[/tex]

Differentiate with respect to time 't'

[tex]D(z^2)=D(y^2)+D(1600)[/tex]

[tex]2zD(z)=2yD(y)+0[/tex]

[tex]zD(z)=yD(y)[/tex]

Now, y=200, [tex]z^2=200^2+40^2[/tex] , [tex]z^2=41600[/tex], [tex]z=203.96[/tex]

D(z)=80.

Substitute the known values into the equation below:

[tex]zD(z)=yD(y)[/tex]

(203.96)(80)=200 D(y)

On simplifying, D(y)=81.6 feet per second

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The actual speed (along the road) of the red car is **81.6** feet per second

**What is Pythagoras' theorem?**

The square of the **hypotenuse** side in a **right-angled triangle** is equal to the sum of the squares of the other two sides, according to **Pythagoras' theorem.**

Refer to the figure attached.

[tex]z^2=y^2+40^2[/tex]

[tex]z^2=y^2+1600[/tex]

Differentiate with respect to time 't'

[tex]D(z^2)=D(y^2)+D(1600)[/tex]

[tex]2zD(z)=2yD(y)+0[/tex]

[tex]zD(z)=yD(y)[/tex]

Now, y=200, [tex]z^2=200^2+40^2, z^2=41600,z=203.96[/tex]

D(z)=80.

Substitute the known values into the equation below:

zD(z)=yD(y)

(203.96)(80)=200 D(y)

On simplifying, D(y)=81.6 feet per second

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David, Eva and Farooq share a sum of money.

David gets 1/6 of the money and Eva gets 1/4 of the money. David gets £2.50

Farooq gets the rest of the money.

Work out how much money Farooq gets

David gets £2.50 **Farooq gets** the rest of the money. Let the **total sum** of the money be x is **£8.75. **

Therefore,

Let the total sum of the money be x,

David gets 1/6 of x = x/6 = £2.50

⇒ x/6 = £2.50

⇒ x = £2.50 x 6

⇒ **x = £15**

The total sum of the money = **£15**

Eva gets 1/4 of x = 1/4 x 15 = **£3.75**

Farooq gets the rest of the money = x - £3.75 - £2.50

= £15 - £3.75 - £2.50 = **£8.75**

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Represent each expression as a power of a (a does not equal 0)

The** expansion **of the given **expressions** of **exponents** are:

22. (b) a²· (a⁰)³ ÷ a¹¹ = **a⁻⁹**

22. (f) {(a³a⁴)÷ a⁻³} /{a·((a²a)³)⁴} = **a⁻²⁷**

**Product rule** for** exponents** state that** product **of two numbers with same base is given by **adding **their **powers**.

That is aⁿ × a ˣ = aⁿ⁺ˣ

**Quotient rule** for exponents state that the** quotient **of two numbers with same base is given by **subtracting** the** exponent** of **denominator **from **numerator.**

That is aⁿ ÷ a ˣ = aⁿ⁻ˣ

**Power rule **: (aⁿ)ˣ = aⁿˣ

22. (b) a²· (a⁰)³ ÷ a¹¹

⇒a²· (a⁰)³ ÷ a¹¹ = a².a⁰ ÷ a¹¹ (using **power rule** (a⁰)³ = a⁰)

⇒a²· (a⁰)³ ÷ a¹¹ = a²⁺⁰ ÷ a¹¹ ( using **product rule ** a².a⁰= a²⁺⁰ )

⇒a²· (a⁰)³ ÷ a¹¹ = a²÷ a¹¹ = a²⁻¹¹ ( using** quotient rule** a²÷ a¹¹ = a²⁻¹¹)

⇒a²· (a⁰)³ ÷ a¹¹ = a⁻⁹

Therefore, **expression **a²· (a⁰)³ ÷ a¹¹ is a⁻⁹

- 22 .(f) {(a³a⁴)÷ a⁻³} /{a·((a²a)³)⁴}

= {(a³⁺⁴)÷ a⁻³} /{a·((a²⁺¹)³)⁴} ( using **product rule**, a³a⁴ = a³⁺⁴ and

a²a = a²⁺¹)

={a⁷÷ a⁻³} /{a·((a³)³)⁴}

= {(a⁷⁻⁽⁻³⁾} /{a·(a³⁽³⁾)⁴} ( using **quotient rule** a⁷÷ a⁻³ = a⁷⁻⁽⁻³⁾ and

using **power rule **(a³)³ = a³⁽³⁾)

= {a¹⁰} /{a·(a⁹)⁴}

= {a¹⁰} /{a·a³⁶} ( using **power rule** (a⁹)⁴ = a⁹⁽⁴⁾ =a³⁶)

= {a¹⁰} / {a¹⁺³⁶} ( using** product rule** a·a³⁶ = a¹⁺³⁶)

= { a¹⁰} / {a³⁷}

= a¹⁰ ⁻ ³⁷ ( using **quotient rule** a¹⁰ ÷ a³⁷ = a¹⁰ ⁻ ³⁷ = a⁻²⁷)

= a⁻²⁷

Therefore, **expression** {(a³a⁴)÷ a⁻³} /{a·((a²a)³)⁴} is a⁻²⁷.

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**Answer:**

the answer is a^-27

**Step-by-step explanation:**

the length of a base of an isosceles triangle is xthe length of a leg is 2x - 2 the perimeter of the triangle is 56 find x

The perimeter of the triangle is computed adding the length of each side. That is,

P = (2x - 2) + (2x - 2) + x

P = (2x + 2x + x) + (-2 - 2)

P = 5x - 4

Substituting with P =56 and solving for x:

56 = 5x - 4

56 + 4 = 5x

60 = 5x

60/5 = x

**12 = x**

Joel digs a hole at a rate of 35 feet every 10 minutes. After digging for 30 minutes, Joel places a bush in the hole that fills exactly 12 feet of the hole.

Relative to ground level, what is the elevation of the hole after placing the bush in the hole?

The** elevation of the hole **after placing the bush in the hole is **93 feet**

This is a problem from the **unitary method. **We can easily solve this problem by following a few steps.

Joel digs a hole at a rate of 35 feet every 10 minutes. So, we have to calculate the rate at 1 min.

Joel digs a hole at a rate of 35 feet every 10 minutes

Joel digs a hole at a rate of 35/10 feet every 1 minute

**[ Work done for unit minute = Total work done / total time period ] **

Now we have to calculate the total work done for 30 minutes.

For a unit minute work done is 35/10, then for 30 minutes the total work done is, (35/10 × 30 ) feet = 105 feet.

Joel places a bush in the hole that fills exactly **12 feet **of the hole.

Therefore, the actual elevation is **( 105 feet - 12 feet ) = 93 feet.**

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How do you solve this?

**a= 4 **

**b= - 42**

**How the given expression is solved ?**

[tex]2-\frac{x+2}{x-3} -\frac{x-6}{x+3} \\\\=\frac{2(x^{2} -9)-[(x+2)(x+3)]-[(x-6)(x-3)]}{x^{2} -9} \\\\=\frac{2x^{2} -18-x^{2} -5x-6-x^{2} +3x+6x-18}{x^{2} -9} \\\\=\frac{4x-42}{x^{2} -9}\\\\\text{This is of the form}, \frac{ax+b}{x^{2} -9}[/tex]

Thus, the **value of integers a and b** are :

**a = 4 ; b =- 42**

**What are integers?**

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Find the value of each variable

The slope of the line through (x, 4) and (20, -2) is -1/4

PLS HELP!!!!!!

-4 is the numerical **value **of **x **which forms part of the coordinates of the points with a slope of -1/4.

**Slope **is simply expressed as **change **in y over the change in x.

It is expressed as;

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1( x, 4 )

x₁ = xy₁ = 4Point 2( 20, -2 )

x₂ = 20y₂ = -2Slope m = -1/4To determine the value of x, plug the slope m, x and y values into the slope formula.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

-1/4 = ( -2 - 4 )/( 20 - x )

-1/4 = ( -6 )/( 20 - x )

Cross multiply

-1( 20 - x ) = 4( -6 )

-20 + x = -24

x = -24 + 20

x = -4

Therefore, the numerical **value **of **x **is -4.

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please consider giving me a helping hand! I will give you brainliest as a big thanks!!

Answer:

Step-by-step explanation:

**Answer:**

1. x = -4, y = -5

Chosen strategy was to substitute for y in the second equation since the first equation gives y in terms of x. This gives an equation in x which can be solved for x, then y can be found by substituting for x in the first equation

2. x = -2, y = -3

Strategy used is to eliminate the x terms by simply adding the equations since the coefficients of x are the same but of opposite signs. Solve for y and use this value to solve for x by substituting in any one equation

3. x = -5, y = 6

Strategy used was to set the RHS of the equations equal to each other since both equations are equations with y on the LHS. Solve for x then use this value to find y value

4. x = 0, y = 1

Strategy used was to get the y coefficients same but of opposite signs, add the two equations to eliminate the y term, solve for x and then solve for y by substituting x in one of the equations - in this case, the second equation

**Step-by-step explanation:**

Here is how I would answer this question. Remember there are multiple ways of solving a linear equation of two variables but looking at the equations and from experience, I have chosen the most efficient way (my opinion)

**Q1. **

y = x - 1 [1]

3x - 4y = 8 [2]

Since we are given y = x - 1 in Eq [1], an obvious strategy is to substitute for y in eqn [2]

=> 3x - 4y

=> 3x - 4(x-1)

=> 3x - 4x - 4(-1) =

=> 3x -4x + 4

=> -1x + 4

=> -x + 4

And we know that eqn [2] has 8 on the RHS

∴ -x + 4 = 8

Subtract 4 from both sides

-x + 4 - 4= 8 -4

-x = 4

Multiply by -1 both sides

x = -4

Substitute for x in equation [1] y = x - 1 to get

y = -4 - 1 = -5

Solution: x = -4, y = -5

**Q2**3x + 2y = -12 [1}

-3x + 2y = 0 [2]

Here we can see the coefficients of x are the same but with opposite signs

Adding the two equations will eliminate the x terms and allow us to solve for y which can be used then to solve for x

Adding [1] and [2] gives

3x + 2y + (-3x + 2y) = -12 + 0

4y = -12

y = -3

Substitute for y in equation [1]

=> 3x + 2(-3) = -12

=> 3x - 6 = -12

=> 3x = -12 + 6 (adding 6 on both sides

=> 3x = -6

x = -2

Solution x = -2, y = -3

Strategy used: Adding both equations to eliminate x terms since x coefficients are same but of different signs

**Q3**

y = 3x + 21 [1]

y = 2x + 16 ][2]

Since we have two expressions for y in terms of x, set the RHS of equations [1] and [2] to be equal and solve for x

=> 3x + 21 = 2x + 16

Subtract 2x from both sides

=> 3x - 2x + 21 = 16

=> x + 21 = 16

Subtract 21 from both sides

x = 16 - 21 = -5

Substitute for x in equation [2]

y = 2x + 16

=> y = 2(-5) + 16

y = -10 + 16

y = 6

Solution: x = -5, y = 6

**Q4**

2x - 7y = -7 [1]

x + y = 1 [2]

We can make the coefficients of one of the variable in both equations the same and either add/subtract as necessary to eliminate one of the variable terms and solve for the other

Multiply [2] by 7 to get

7x + 7 y = 7 [3]

[1] and [3] have y coefficients same but of opposite signs so add [1] and [3] together

2x - 7y + (7x + 7y ) = - 7 + 7

2x + 7x - 7y + 7y = 0

9x = 0

x = 0

Sub for x in [2] x + y = 0 to get

0 + y = 1

or y = 1

Solution: x = 0, y = 1

Strategy used was to get the y coefficients same but of opposite signs, add the two equations to eliminate the y term, solve for x and then solve for y by substituting x in one of the equations - in this case, the second equation

Name the set(s) of numbers to which the number belongs.−32/95

The **number **-32/95 belongs to the set of **rational numbers**.

**Rational numbers** may be defined as set of numbers which can be expressed in the form of p/q where q cannot be equal to zero.** Irrational **numbers may be defined as set of numbers which cannot be expressed in the form of p/q. Rational numbers can be of three types. **Positive** rational numbers are those in which either both the **numerator** and denominator are positive, or both are negative. **Negative** rational numbers are those in which either of numerator or **denominator **is negative.** Zero **is also a rational number which can be expressed in the form of p/q. Now, the number -32/95 is expressed in the form of p/q and the numerator is negative, so it is a **negative rational number**.

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what two numbers multiply to get 30 and add up to get 31

**Answer:**

1 and 30!

1 times 30 = 30

1 + 30 = 31

**Step-by-step explanation:**

;p

**Answer: **

30 and 1

**Step-by-step explanation:**

You add 1 to 30 to get your answer of 31.

30 + 1 = **31**

You can also multiply 30 times 1 to get thirty.

30 * 1 = **30**

BRAINLY IF CORRECT!!

In △ A B C , A B = 7 , B C = 12 , and m ∠ A B C = 82 ∘

In △ D E F , D E = 7 , E F = 12 , and m ∠ D E F = ( 2 x − 6 ) ∘

A C > D F.

What is the range of possible values for x?

(a) 44 < x < 180

(b) 3 < x < 44

(c) 0 < x < 44

d) none of these

(e) x > 44

(f) 44 < x < 93

(g) x < 44

The possible **range **of **angle x** is **x < 44**

given data

In △ A B C , A B = 7 , B C = 12 , and m ∠ A B C = 82 ∘

In △ D E F , D E = 7 , E F = 12 and m ∠ D E F = ( 2 x − 6 ) ∘

A C > D F

Solution for angle x is gotten from the clue in A C > D F

This means that angle included by m ∠ A B C = 82 ∘ is **greater than **the angle included by m ∠ D E F = ( 2 x − 6 ) ∘

We therefore say that

82 ∘ > ( 2 x − 6 ) ∘

82 + 6 > 2 x

88 > 2 x

divide both sides by 2

88 / 2 > 2 x / 2

44 > x

x < 44 degrees

Hence **option g **is the **correct **answer

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please help me complete the blank spots in the sentence!

The full sentence relating to the **function **in the **tabulated data **is;

"The **x-intercept **shows that if Ronald buys only **apples**, he can buy 12 pounds (lb). The **y-intercept** shows that if Ronald buys only eaches, he can buy 10 pounds (lbs). Hence the complete sentence."

It is to be noted that in **mathematics**, a **function** is an expression, rule, or law that describes the connection between one variable (the **independent variable**) and another variable (the **dependent** **variable**).

**Tabular data **has the following characteristics: They are made up of rows and columns. A **table **contains rows and columns and is used to organize everything tabular. Typically, sports statistics are provided in a tabular manner. A table is a type of graphic that arranges data into **rows **and **columns**. **Tabular data **is presented in a table format.

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please help me

solve for x. if needed, round your answer to 1 decimal place.

Check the picture below.

[tex]sin(31^o )=\cfrac{\stackrel{opposite}{11}}{\underset{hypotenuse}{x}}\implies x=\cfrac{11}{sin(31^o)}\implies {\Large \begin{array}{llll} x\approx 21.4 \end{array}}[/tex]

Make sure your calculator is in Degree mode.

A dance school offers classes in ballet folklórico. There is a one-time registration fee and a fee

for each class. The total cost of classes, y, is a linear function of the number of classes,

Three classes cost $36. Seven classes cost $68.

What is the rate of change and what does it represent?

The most appropriate choice for **equation of line** in **slope intercept form **will be given by-

Rate of change is 8 and rate of change represents **slope **of the **line**

**What is equation of line in slope intercept form?**

**Equation of line** in **slope intercept form** is written as y = mx +c

m is the **slope **of the** line** and c is the **y intercept** of the line.

The **distance** between the **origin **and the point where the line cuts the** x axis** is the **x intercept**

The **distance** between the origin and the point where the line cuts the **y axis** is the **y intercept**

Here,

Let the number of classes be x

Total cost of classes = y

Let the equation of line be y = mx + c

Three classes cost $36

Putting x = 3, y = 36

36 = 3x + c .............. (1)

Seven classes cost $68

Putting x = 7, y = 68

68 = 7x + c ............... (2)

Subtracting equation (2) from (1),

4x = 32

[tex]x = \frac{32}{4}[/tex]

x = 8

Putting the value of x in (1)

[tex]3 \times 8 + c = 36\\24 + c = 36\\c = 36 - 24\\c = 12[/tex]

Equation of line is y = 8x + 12

Now coefficient of x in y = mx + c is the slope of the line and that is the rate of change

so, rate of change is 8 and rate of change represents slope of the line.

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**Answer:**

**Step-by-step explanation:**

Given **school costs** of **$36 for 3 classes** and **$68 for 7 classes**, you want to know the **rate of change** and its **meaning**.

The "rate of change" in this context is the change in cost for one additional class. It can be found by ...

rate of change = (change in classes) / (change in cost)

rate of change = ($68 -$36)/(7 classes -3 classes) = $32/(4 classes)

** rate of change = $8/class**

Interpretation

This "rate of change" is the additional cost for the addition of one class. **It is the cost per class**.

A number decreased by 8 is 27.

**Answer: 35 = a number**

**Step-by-step explanation: okay so since the number is being decreased wd know that that is subtraction. so what minus 8=27? well how about we add those two numbers to get the whole? so whats 8+27? 35. Hope this helped**

**Answer:**

**Step-by-step explanation:**

35

Type the correct answer in each box.What values of a and b make this equation true?(4 + v=49) – 2(/(-4)2 + v=324) = a + bia =b =ReseNext

**Problem**

**Solution**

For this case we can do the following:

[tex](4+\sqrt[]{-49})-2(\sqrt[]{(-4)^2}+\sqrt[]{-324})\text{ }[/tex]We also know that :

[tex]\sqrt[]{-1}=i[/tex]Using this property we got:

[tex](4+7i)-2(4+18i)[/tex]Now we can distirbute the terms and we got:

4+7i -8 -36 i

And distributing the terms we got:

(7-36)i +(4-8)

**-29 i -4**

And then our solution would be:

a= -29

b= -4

On Tuesday, the mailman delivers three checks for $5 and two bills for $2 each. If you had a starting balance of $25, what is the ending balance?

**Answer:£6**

**Step-by-step explanation:**

**First, you need to do 5×3= 15 you times it by three, because there are three checks of £5**

**Then do 2×2=4 you times it by 2, because there are two checks of £2.**

**£15+£4=£19**

**Then Subtract £25-£19= £6**

**Hope this helps!**

Answer the questions based upon the table:

1- What is the independent variable? (hint- it is the input),

2- What is the dependent variable? (hint- it is the output)

3-

Is the relation a linear function? (hint- if it has a consistent difference between the

consecutive output values, then YES)

4- What is the slope of the function?

5- What is the domain?

6- What is the range?

7- What is the y-intercept? (hint- x = 0 at the y-intercept)

8- What is the x-intercept? (hint-y = 0 at the x-intercept)

The **features **of the **relation **are given as follows:

**1.** Independent variable: number of weeks.

**2. **Dependent variable: money saved.

**3. **Yes, the relationship is linear.

**4.** The slope is of 40.

**5.** The domain is: {0, 1, 2, 3, 4, 5, 6, 7}.

**6. **The range is: {50, 90, 130, 170, 210, 250, 290, 330}.

**7. **The y-intercept is of $50.

**8. **The table has no x-intercept.

The output variable is a function of the input, hence the output is the **dependent **variable and the input is the **independent **variable.

The **input **and the **output **in this problem are given as follows:

In a linear relation, the **rate of change** of the output relative to the input is constant, and is called **slope**.

In the context of this problem, the money saved has a **constant increase **of $40 each week, hence:

The **domain **is the set containing the **input **values of the function, hence the number of weeks, as follows:

{0, 1, 2, 3, 4, 5, 6, 7}.

The **range **is the set containing the **output **values of the function, hence the money saved, as follows:

{50, 90, 130, 170, 210, 250, 290, 330}.

InterceptsThe** y-intercept** is the value of y when x = 0, hence, from the table, it is of:

y = 50.

The **x-intercept **is the value of x when y = 0. From the given table, y never assumes a value of 0, hence the function has **no **x-intercept.

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The assets and liabilities of a landscaping business are listed below.

What is the net worth of the landscaping company?

$126.790

$187.205

$282.799

$470.004

The **net worth** of the landscaping company is given by:

$187.205.

How to calculate the net worth?The net worth of a company or of a person is given by the sum of all **assets **of the person **subtracted **by the sum of all **debts **of the person.

In the context of this problem, the **assets**, and it's values, of the company are given as follows:

Hence the **sum **of the assets is given by:

Assets = 48760 + 126790 + 32426 + 20700 + 15640 + 225678 = $469,994.

The **debts **of the company, with it's values, are given as follows:

Hence the **sum **of the debts is given by:

Debts = 76400 + 189429 + 16970 = $282,799.

Then the **net worth** of the company is:

Net worth = Assets - Debt = 469,994 - 282,799 = $187,205.

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What is the value of n?

n–2=10n+42

[tex]n-2=10n+42\\n-10n=42+2\\-9n=44\\\frac{-9n}{-9} =\frac{44}{-9} \\n=-\frac{44}{9}[/tex]

Hope this helps.

Math please its in the picture and show solution please

To simplify simply means to make anything** easier.** In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and **problem-solving techniques **simplify the issue.

No, to simplify is to reduce anything to its most basic form without figuring out what the letter 'x' or other letters are. Finding the meaning of the 'x' or other letters is known as** solving.**

Overview. Making something simpler refers to making it simpler to do or comprehend. Therefore, when we** **reduce or simplify** **a fraction, we aim for **maximum simplicity**. We accomplish this by dividing the denominator and numerator by the **highest possible number.**

It has the same precise meaning. The phrase "expand the brackets" means the same thing as "multiply out the brackets," with the added indication that when we do so, we are** multiplying** everything inside by everything outside the brackets.

The answer for** **a is x

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Given f(x)=x^2+1 and g(x)=2x−1, find (f−g)(x)

x2−2x−1

x squared minus 2 x minus 1

x2+2x

x squared plus 2 x

x2−2x+1

x squared minus 2 x plus 1

x2−2x+2

The **value** of (f-g)x is x²-2x+2. Therefore, option C is the correct answer.

The given functions are f(x)=x²+1 and g(x)=2x-1.

What is function?**Functions** are the fundamental part of the **calculus** in mathematics. The functions are the special types of **relations**. A function in math is visualized as a rule, which gives a unique **output** for every **input** x.

We need to find the **value** of (f-g)(x).

Now, f(x)-g(x)= (f-g)(x)

=x²+1 -(2x-1)

=x²+1-2x+1

=x²-2x+2

The **value** of (f-g)x is x²-2x+2. Therefore, option C is the correct answer.

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12

3 4

5 6

78

In the figure, a || b, and both lines are intersected by transversal t. Complete the statements to prove that m²1 = m25.

a | b (given)

m21+ m23 = 180° (Linear Pair Theorem)

m25+ m26 = 180° (Linear Pair Theorem)

m21+ m23 = 25 + 26 (

m23= m26 (

m21= m25 (Subtraction Property of Equality)

The angle value of m is m∠7 = m∠3 = 125° in ** linear pair.**

**What linear pair?**

m∠1 = 180° - 55° = 125°

m∠2 = 55° [ vertical angle ]

m∠3 = m∠1 = 125° [ vertical angle ]

m∠4 = 180° - m∠3 = 180 - 25 = 55°

m∠5 = m∠1 = 125°

m∠6 = m∠2 = 55°

m∠7 = m∠3 = 125°

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How much money is pictured below?

**Answer:**

The amount of money pictured below is one dollar

**Answer:**

**Step-by-step explanation:**

1 quarter= 25 cents

1 nickel = 5 cents

9 mickels total= 9x5= 45

1 quarter= 25 + 45= 70

and then you have one dollar

so 1 dollar and 70 cents

1.70$

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