**Answer**

The slope of segment AB is **equal to **the slope of the segment BC.

**Explanation**

Similar triangles have the same set of interior angles.

And it is one these angles, that determines the slope of the line segment **AB **or **BC.**

For the two triangles, that angle is the same because they are similar triangles.

So,

The slope of segment AB is **equal to **the slope of the segment BC.

**Hope this Helps!!!**

If TU = 6 units, what must be true?SU + UT = RT

RT+ TU = RS

RS + SU = RU

TU + US = RS

The following must be true:

SU + UT = RT

What is meant by length of side?By dividing the **base's length **by its** height**, one may calculate any **quadrilateral's surface area**. We can conclude that all of the sides are the **same length** because the shape is square. Using the square root of the area to determine the length of one side, we can then work backwards from this information. A square has four sides, thus to determine the length of one side,** divide** the **perimeter **by 4. Assumed **Area:** Since s2 is the formula for a **square's area** and that number **corresponds** to one of its sides, you must get the square root of the area. A side is the **line segment** that connects two vertices of a **shape** or two-dimensional figure according to the definition of** geometry.**

Length of SU

= RS - RT - TU

= 24 - 12 - 6

= 24 - 1

= 6

Thus, the length of the US is 6 units.

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name the sets of number to which - 2/5 belongs

The sets of number to which - 2/5 belongs is a **rational number****.**

If p and q are **integers** and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the **rational number** examples are 1/3, 2/4, 1/5, 9/3, and so forth. A rational number is any number that can be expressed as a ratio (or fraction) of two **integers**.

P/Q is the format for **rational numbers,** where p and q are open-ended integers and q 0. Thus, natural numbers, whole numbers, **integers**, fractions of integers, and decimals are all examples of rational numbers.

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A musicians hair was originally 3 inches long. She asked her hair dresser to cut 5/6 of it off. How many inches did she have cut off?

**Answer: 2.5 inches**

**Step-by-step explanation: 3*5/6= 2.5**

Question 5 of 10Which inequality represents all values of x for which theproduct below is defined?x-5.X+2A. X2-2B. X55O C. X25O D. X20SUBMIT

**Answer**:

**Explanation**: The product has two square-roots being multipled together, the inside of each of the root must be greater than or equal to zero, this in Mathematics can be written as follows:

Therefore, applying the condition leads us to the following conclusion:

[tex]\begin{gathered} \sqrt[]{x-5}\times\sqrt[]{x+2} \\ \therefore\rightarrow \\ x-5\ge0\rightarrow x\ge5 \\ x+2\ge0\rightarrow x\ge-2 \end{gathered}[/tex]

Therefore it follows that **x **must be:

Please someone help me please i need help with this question answer asap

**Answer:**

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{8}{3}[/tex]

**Step-by-step explanation:**

the perpendicular bisector of AB passes through the midpoint of AB at right angles.

find the midpoint using the midpoint formula

with A (- 2, 0 ) and B (0, 6 )

midpoint = ( [tex]\frac{-2+0}{2}[/tex] , [tex]\frac{0+6}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex] , [tex]\frac{6}{2}[/tex] ) = (- 1, 3 )

find the gradient m of AB using the gradient formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 2, 0 ) and (x₂, y₂ ) = B (0, 6 )

m = [tex]\frac{6-0}{0-(-2)}[/tex] = [tex]\frac{6}{0+2}[/tex] = [tex]\frac{6}{2}[/tex] = 3

given a line with gradient m then the gradient of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex]

the equation of a line in gradient- slope form is

y = mx + c ( m is the gradient and c the y- intercept )

here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (- 1, 3 ) into the partial equation

3 = [tex]\frac{1}{3}[/tex] + c ⇒ c = 3 - [tex]\frac{1}{3}[/tex] = [tex]\frac{8}{3}[/tex]

y = - [tex]\frac{1}{3}[/tex] x + [tex]\frac{8}{3}[/tex] ← equation of perpendicular bisector

y = x + 3

y = x² - 2x + 3

**Answer:**

y=3 / y=6

x=0 / x=3

**Step-by-step explanation:**

Follow the steps given in the picture attached above.

the length of pregnancy isn't always the same. in pigs, the length of pregnancies varies according to a normal distribution with mean 114 days and standard deviation 5 days. what percent of pig pregnancies are longer than 109 days?

95.61 **percent **of pig pregnancies are longer than 109 days with 0.8413 **probability**.

A standard normal distribution or z-table can be used to approximate the probability of multiple ranges of values for a **random normal variable** X with a particular mean and standard deviation. This method entails changing X to a typical normal variable Z.

The normal, random variable X equals the length of pregnancy.

The mean and **standard deviation** are then calculated.

u, Mean = 114 days

σ, Standard deviation = 5 days

Then, as follows, transform X to its standard normal variable:

Z = (X - u) ÷ σ

Z = (X - 114) ÷ 5

To determine the likelihood of a pregnancy lasting more than 109 days,

P(X ≤ 109) = P(Z ≤ 114 - 109 ÷ 5)

P(X ≤ 109) = P(Z ≤ 1)

P(Z ≤ 1) = 0.8413 when using a typical **normal distribution** or z-table.

The percentage of pig pregnancies that last more than 109 days,

P = (109 ÷ 114) × 100

P = 95.61%

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you were in the garden, there are 34 people in the yard. you kill 30. how many people are in the garden?

In **linear equation, **You are the only person in the garden at the time the 34 people.

**What in mathematics is a linear equation?**

You are the only person in the garden at the time the 34 people are on their homicidal spree.

Alternatively, if the backyard and garden are in the same place, then there are no longer any individuals in the garden because you would officially count as one of the 34 people who are all killed.

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how do i do two step equations with variables and decimals

Please watch this video! I wish confused on 2 step equations with decimals two! This video elaborates and explains so much better then any teacher could!

Desde un daro y una altura de 30 metros sobre el nivel del agua , se divisan dos barcos pesqueros . El ángulo de depresión al más sercano es de 8°; mientras al más lejano es de 5°, encuentra la distancia entre ambos barcos

Por medio de **expresiones trigonométricas** y el diagrama geométrico se concluye los dos **barcos** tienen una **distancia** aproximada de 129.441 metros.

En este problema se debe determinar la **distancia** entre dos **barcos**. La situación es representanda por dos **triángulos rectángulos** con un **cateto** vertical común, correspondiente a la **altura** del **faro**. La distancia entre los barcos se determina mediante la siguiente expresión trigonomética:

d = 30 / tan 5° - 30 / tan 8°

d ≈ 129.441 m

La **distancia** entre los dos **barcos** es aproximadamente 129.441 metros.

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I need the dercreasing intervel and my grade is at risk so pls be correct

**Answer: You are correct**

The decreasing interval is **(-3, infinity)**

This is the same as writing [tex](-3, \infty)[/tex]

===============================================

Explanation:

If a < b and f(a) > f(b), then the function is decreasing.

Visually this means that if the graph is going downhill when moving to the right, the function is decreasing.

The graph shown goes downhill throughout its entire domain of **(-3, infinity)**

While birdwatching, Natalie saw 8 robins. If 40% of the birds she saw were robins, how many birds did Natalie see in all?

40% of 8 is **3.2**

hope this helped

Please help ASAP, will mark as brainliest!

**Answer:**

61 degrees

**Step-by-step explanation:**

Bro its that easy

Write the equation in standard form, (2x+1)(3x-2)=0

**Answer:**

6x^2-x-2

**Step-by-step explanation:**

b. If the volume of a cube is 4096 cm³ find diagonal of the cube

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices, and 12 edges.

The diagonal of a cube** **is** **√3 side.

If the volume of a cube is 4096 cm³ the **diagonal** of a **cube** is 16√3 cm.

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices, and 12 edges.

The volume of a cube is given as:

Volume = side³

The diagonal of a cube = √3 side.

We have,

The **volume** of a **cube** = 4069 cm³

The volume of a cube = **side**³

4096 = side³

side = ∛4096

**side** = 16 cm

Now,

The **diagonal** of a **cube**:

= √3 side

= √3 x 16

= 16√3 cm

Thus,

The **diagonal** of a **cube** is 16√3 cm.

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Solve for x, y, and z

Using **angle sum property **we found that ∠ x =** 113°**, ∠y = **67°** and ∠z = **49°**

The angle sum property of triangle states that the** sum** of all the** interior angles** of a **triangle **is **180°.**

If ΔABC is a triangle then,

m ∠A + m ∠B + m ∠C = 180°

Given from the figure in the question that 28°, 39° and x° are **interior** **angles** of a** triangle,** then using angle sum property:

28° + 39° + x° = 180°

⇒ 67° + x° = 180°

⇒ x° = 180° - 67° = 113°

∠x and ∠y are on the same** line** same** point** therefore their **sum** will be 180°

⇒ x° + y° = 180°

⇒ 113° + y° = 180°

⇒ y° = 180° - 113° = 67°

Also an** exterior angle **of a triangle is equal to **sum** of** interior opposite angles.**

∴ y ° = 28° + 39° = 67°

Now, 64° , y° and z° are** interior angles** of same triangle from the figure in the question.

∴ Using **angle sum property**,

64° + y° + z° = 180°

⇒ y ° + z° = 180° - 64° = 116°

⇒ y° + z° = 116°

⇒ z° = 116° - y° = 116° - 67° = 49°

Therefore ∠**x**, ∠**y** , ∠**z** are 113° , 67° and 49° respectively

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Consider this equation of a circle. x^2-2x+y^2+6y-4=0

The answer is bellow!!!

**Answer:**

A

**Step-by-step explanation:**

x² - 2x + y² + 6y - 4 = 0 ( add 4 to both sides )

x² - 2x + y² + 6y = 4

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

= x² + 2(- 1)x + 1 + y² + 2(3)y + 9 = 4 + 1 + 9

(x - 1)² + (y + 3)² = 14 ← in standard form

I’LL MARK BRAINLIEST!! Graph - 5x + 10y = 20

**Answer:**

**Step-by-step explanation:**

See screenshot

:]

lol I'm improve my rank so brainliest would help a lot :]

The first point, (0,2)

The second point, (2,3)

The second point, (2,3)

The ratio of Jaynee's money to Owen's money is 3:11. If Jaynee has $33,

how much money do Jaynee and Owen have ALL TOGETHER?

**Answer:**

42 dollars

**Step-by-step explanation:**

Jaynee's money is 11 out of (11+3) = 14 or 11/14ths of the total

11/14 x = 33

x = total amount = 33 * 14/11= 42 dollars

7.

A bookrack is 61 1/4 inches wide. I want to place a set of

encyclopedias

on the rack., each measuring 1 3/4 inches wide. How many

will fit on the rack?

35 **encyclopedias** can be fit on the bookrack.

**What is an encyclopedia?**

An **encyclopedia** (American English) or** encyclopaedia **(British English) is a reference source or compendium that provides summaries of general or specific information to a certain topic or discipline. **Encyclopedias** are organized into articles or entries that are either alphabetically sorted by article name or by subject categories, or are hyperlinked and searchable by random access. The entries in **encyclopedias** are longer and more thorough than those in most dictionaries. In general, **encyclopedia** articles focus on factual information about the subject specified in the title, as opposed to dictionary entries, which focus on linguistic information about words, such as their derivation, meaning, pronunciation, use, and grammatical forms.

Width of bookrack = 61 1/4 inches

Width of an **encyclopedia** = 1 3/4 inches

no. of **encyclopedias **to be fit = (61 1/4)/(1 3/4)

= (245/4)/(7/4)

= 245/7

= 35

Hence, 35 **encyclopedias** can be fit on the bookrack.

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A box is to be made by cutting a square measuring 4 centimeters on a side from a square piece of cardboard. If the volume of the box is to be 100 cubic centimeters, find the length of a side of the original square. Round the answer to the nearest tenth of a centimeter.

Given the volume of the box is 100 cm^3

And to made the box we need to cut a square measuring 4 centimeters on a side from a square piece of cardboard.

so, the height of the box = 4 cm

so, the volume = height * area of the base

100 = 4 * area of the base

Area of the base = 100/4 = 25 cm^2

so, the side length of the base of the box =

[tex]\sqrt[]{25}=5[/tex]so, the lenght of the a side of the original square = 5 + 2*4 = 5 + 8 = 13 cm

Solve 19 - 3x = 2x + 4

x=…

**Answer:**

3

**Step-by-step explanation:**

We need to isolate x in order to solve it:

First, subtract 4 from both sides

15 - 3x = 2x

Add 3x to both sides

15 = 5x

Divide each side by 5 to get x

x = 3

the diameters of ball bearings are distributed normally. the mean diameter is 139 millimeters and the variance is 36. find the probability that the diameter of a selected bearing is greater than 152 millimeters. round your answer to four decimal places.

The probability that the** diameter** of a selected** bearing **is greater than 152 millimeters is 64.05%.

For the given question;

The data for the** ball bearing** is given as-

Z-score = (x - μ)/σ

Put the values;

z = (152 - 139)/36

z = 0.36

P(x > 125) = P(z > 0.36), see p values from z table for 0.36.

P(x > 125) = 0.6405

P(x > 125) = 64.05%

Thus, the probability that the **diameter **of a selected bearing is greater than 152 millimeters is 64.05%.

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What are the constraints to this problem?

A Virginia Beach farmer has 480 acres of land on which to grow either corn or soybeans.

He figures he has 800 hours of labor available during the crucial summer season. The farmer

can expect a profit of $40 per acre on corn and $30 per acre on soybeans. He knows that

corn requires 2 hours per acre to raise, and soybeans require 1 hour per acre to raise. How

many acres of each should he plant to maximize profit? What is his maximum profit?

He raise **corn** in [tex]320[/tex] acres and **soybeans** in [tex]160[/tex] acres to maximize profit and the **maximum profit** is [tex]\$18,200[/tex].

A Virginia Beach farmer has [tex]480[/tex] acres of land on which to grow either corn or soybeans.

He has labor available during the crucial summer [tex]=800[/tex] hours

The farmer can expect a profit of [tex]\$40[/tex] per acre on corn.

The farmer can expect a profit of [tex]\$30[/tex] per acre on soybeans.

The corn requires hours to raise [tex]=2[/tex] hours per acre.

The soybeans requires hours to raise [tex]=1[/tex] hours per acre.

We have to find how many acres of each should he plant to maximize profit and his maximum profit.

To solve the question we let he plant [tex]x[/tex] acres of corn and [tex]y[/tex] acres of soybeans.

Total land is available for grow either corn or soybeans is [tex]480[/tex] acre.

So the equation should be

[tex]x+y\leq 480\dots\dots Equation (1)[/tex]

He requires [tex]2[/tex] hours to raise corn per acre and [tex]1[/tex] hours to raise soybeans per acre and he has 800 hours of labor available during the crucial summer season.

So the equation should be

[tex]2x+y\leq 800\dots\dots Equation (2)[/tex]

He expect a profit of [tex]\$40[/tex] per acre on corn and [tex]\$30[/tex] per acre on soybeans.

So profit **equation **should be

[tex]P=40x+30y[/tex]

Now the subject of **constraints**

[tex]x+y\leq 480[/tex]

[tex]2x+y\leq 800[/tex]

[tex]x,y\geq 0[/tex]

Now solving the equation [tex]1[/tex] and [tex]2[/tex] to find the value of [tex]x[/tex] and [tex]y[/tex].

Multiplying the equation [tex]1[/tex] by [tex]2[/tex].

After multiplying with [tex]2[/tex] the equation [tex]1[/tex]

[tex]2x+2y\leq 960\dots\dotsEquation (3)[/tex]

Now subtracting Equation [tex](3)[/tex] and Equation [tex](2)[/tex].

[tex]2x+2y-(2x+y)\leq 960-800[/tex]

[tex]2x+2y-2x-y\leq 960-800[/tex]

[tex]y\leq 160[/tex]

Now putting the value of [tex]y[/tex] in Equation [tex](1)[/tex]

[tex]x+160\leq 480[/tex]

Subtract [tex]160[/tex] on both side

[tex]x+160-160\leq 480-160[/tex]

[tex]x\leq 320[/tex]

He raise corn in [tex]320[/tex] acres and soybeans in [tex]160[/tex] acres to maximize profit.

The maximum profit

[tex]P=40x+30y\\P=40\times320+30\times180\\P=12,800+5400\\P=18,200[/tex]

The maximum profit is [tex]\$18,200[/tex].

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which one?Please help its extra credit!

So he deposits a certain amount each week

So he deposited this amount 8 times and got 280 dollars

So clearly he deposits ($280/8) each week

Now he needs 420 dollars

Decide this by the amount deposited each week to get the no of weeks

420 / (280/8) => 12 weeks

So he deposited this amount 8 times and got 280 dollars

So clearly he deposits ($280/8) each week

Now he needs 420 dollars

Decide this by the amount deposited each week to get the no of weeks

420 / (280/8) => 12 weeks

**Answer:**

12 weeks

**Step-by-step explanation:**

if 280=420

then 8=×

cross multiply

280×=420×8

280×=3360

divide both sides with the co efficient of x

280×/280=3360/280

leaving the answer to be 12

carmen pulled transactions from the month of march to see if there is an association between coffee and breakfast sandwich purchases. after running through confidence and expected confidence calculations, she calculated the lift ratio at 1.52. what association does a calculated lift ratio of 1.52 reflect?

A **lift ratio** of 1.52 implies that identifying a person who purchases coffee and a breakfast **sandwich** is 52% better than guessing that a random person will purchase a breakfast sandwich.

Stronger **relationships** are indicated by higher lift values.We divide the confidence ratio by the support of the consequent to arrive at the **lift ratio.**

**Lift ratios** greater than one are typically thought to imply a significant link between the components. Lift ratios below 1 indicate that a purchase of the items is unlikely. Lift is simply the ratio of target **response **divided by the average response.

**Carmen **analyzed data from the month of March to see if there was a link between coffee and breakfast **sandwich **purchases. She calculated the lift ratio to be 1.52 after running confidence and expected confidence calculations.

In this case, she wants to know the association between **coffee** and breakfast **sandwich** purchases. There's 52% better off than a random individual.

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Which is true add a short explanation why it is true thank you if u help

** Answer:**[tex]\sqrt{36} > 5 \\[/tex]

**Step-by-step explanation:**

because [tex]\sqrt{36} =6[/tex]

Therefore 6 > 5

Given AC = AB + AB

Prove AB = BC

HELP PLEASE

The** segment AB **= AC is proved for the given** line AC.**

For the given question;

AC = AB + AB

This can be written as;

AC = 2AB

or AB = (1/2)AC

It means, B is the mid point of AC

So, B will also divide the complete** line segment** AC into two **equal halves.**

AB = AC

Thus, the segment **AB = AC **is proved for the given line AC.

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PLEASE HELP ME I'LL GIVE 30 POINTS

He is correct because if you simplify point B to C, it will be equal it point A to B.

Simplify by combining like terms

4y+3x+6+2y+3

**Answer:**

6y + 3x + 9

**Step-by-step explanation:**

→ Combine all equivalent terms

4y + 2y + 3x + 6 + 3

→ Simplify

6y + 3x + 9

**Answer:**

3x + 6y + 9

**Step-by-step explanation:**

Combine like terms.

4y + 2y = 6y

6 + 3 = 9

3x does not have a like term.

6y + 3x + 9

Order the variables in alphabetical order. (In this case, x goes before y.)

Simplify.

3x + 6y + 9

What is 6 2/3 divided 1/5
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