**Answer:**

The simplest way to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those triangles must also be congruent. This method is called side-side-side, or SSS for short.

In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?

72

144

180°

**Answer:**

144°

**Step-by-step explanation:**

First, find the area of the circle, **with the formula A = **[tex]\pi[/tex]**r²**

**Plug in 10 as the radius, and solve **

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](10²)

A = 100[tex]\pi[/tex]

Using this, **create a proportion** that relates the area of the sector to the degree measure of the arc.

**Let x represent the degree measure of the arc of the sector:**

[tex]\frac{40\pi }{100\pi }[/tex] = [tex]\frac{x}{360}[/tex]

**Cross multiply and solve for x:**

100[tex]\pi[/tex]x = 14400[tex]\pi[/tex]

**x = 144**

So, the degree measure of the sector arc is **144°**

**Answer:**

We know that

Area = πr²

Area = 3.14 × (10)²

Area = 314/100 × 100

Area = 314 cm²

Now

40π/314 = x/360

40 × 3.14/314 = x/360

125.6/314 = x/360

0.4 = x/360

0.4 × 360 = x

144 = x

[tex] \\ [/tex]

RJ's teacher gave a pop quiz in math class yesterday. The scores on the quizzes ranged from 60% to 100%. What grade did most students earn on the pop quiz?

**Answer:**

Grade's of most student = 80% (Approx.)

**Step-by-step explanation:**

**Given range:**

Range of quiz = 60% to 100%

**Find;**

Grade's of most student

**Computation:**

⇒ Grade's of most student = Average grade

⇒ Average mean = Sum of observation / number of observation

⇒ Grade's of most student = [60 + 100] / 2

⇒ Grade's of most student = 160 / 2

**Grade's of most student = 80% (Approx.)**

Consider the three points (-7, -7), (21, 14), (49, 35). Part A: Which of the following points are on the same line that passes through the (-7, -7), (21, 14), (49, 35)? Select all that apply. A. (5, 9) B. (5, 2) C. (17, 11) D. (4, 3) E.) (33, 23) Part B: Show or explain how you determined which points were on the line and which were not on the line.

**Answer:**

A. (5, 9)

**Step-by-step explanation:**

the sum of a number and its inverse is 3 29/52 . Find the number?

I want the working out and the answers please

**Answer:**

x1=

104

329+

329

2

−10816

x2=\frac{329-\sqrt{329^{2} -10816} }{104}x2=

104

329−

329

2

−10816

The sum of a number and its inverse is 3 29/52. Find the number?

x+1/x=329/52

x+1/x-329/52=0

solve the fraction

(\frac{(52x^{2} +52-329x)}{52x} =0

52x

(52x

2

+52−329x)

=0

52x^{2} +52-329x=052x

2

+52−329x=0

52x^{2} -329x+52=052x

2

−329x+52=0

using the quadratic formular

(-b+-√b^2-4ac) / 2a(−b+−√b

2

−4ac)/2a

x=\frac{329+-\sqrt{(329)^{2} -4*52*52} }{2*52}x=

2∗52

329+−

(329)

2

−4∗52∗52

x1=\frac{329+\sqrt{329^{2}-10816 } }{104}x1=

104

329+

329

2

−10816

x2=\frac{329-\sqrt{329^{2} -10816} }{104}x2=

104

329−

329

2

−10816

Helpp me please!!

I need it knowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

**Answer:**

8yd×10yd=80yd

80yd÷2=40yd²

**Step-by-step explanation:**

Hope it helps :)

HELP ME PLEASE, I can't figure out this puzzle :(

042 good luck on ur test

The Scenario: Your manager has asked you to help plan your company's participation at a local trade show. You have $3000 to spend on the booth space and product brochures. Use what you know about solving inequalities to prepare a proposal that meets the budget.

**Answer:**

[tex]x + y\le 3000[/tex]

**Step-by-step explanation:**

**Given**

[tex]x \to booth[/tex]

[tex]y \to brochures[/tex]

[tex]Total = 3000[/tex]

**Required**

The inequality for this scenario

The total spending will not exceed the amount they have to spend; So, the inequality is:

[tex]x + y\le 3000[/tex]

The pentagons JKLMN and PQRST are similar.

Find the length x of PQ.

**Answer:**

[tex]x = 9[/tex]

**Step-by-step explanation:**

**Given**

The similar pentagons

**Required**

Find x

**To do this, we make use of any equivalent ratios.**

**In this case, we use:**

[tex]KL : QR = KJ : QP[/tex]

**Replace each of the above with the side lengths**

[tex]4 : 7.2 = 5 : x[/tex]

**Express as fractions**

[tex]\frac{4 }{ 7.2} = \frac{5 }{ x}[/tex]

**Cross multiply**

[tex]4 * x = 5 * 7.2[/tex]

[tex]4x = 36[/tex]

**Divide by 4**

[tex]x = 9[/tex]

A politician claims that 20% of the millions of votes cast for his opponent are fraudulent. To test this claim, an investigator collects a random sample of 90 ballots and contacts the voters whose names appear on the ballots to determine if each ballot is in fact fraudulent. Use a normal approximation to find the probability that less than 10 of the selected ballots turn out to be fraudulent, assuming the politician's claim is correct.

**Answer:**

"**0.0125**" is the right solution.

**Step-by-step explanation:**

The given values are:

**Random sample,**

n = 90

**Claims,**

p = 20%

or,

= 0.20

**By using normal approximation, we get**

⇒ [tex]\mu = np[/tex]

On substituting the values, we get

⇒ [tex]=90\times 0.20[/tex]

⇒ [tex]=18[/tex]

Now,

**The standard deviation will be:**

⇒ [tex]\sigma=\sqrt{np(1-p)}[/tex]

On putting the above given values, we get

⇒ [tex]=\sqrt{90\times 0.20\times (1-0.20)}[/tex]

⇒ [tex]=\sqrt{18\times 0.8}[/tex]

⇒ [tex]=\sqrt{14.4}[/tex]

⇒ [tex]=3.7947[/tex]

hence,

**By using the continuity correction or the z-table, we get**

⇒ [tex]P(x < 10) = P(x < 9.5)[/tex]

⇒ [tex]P(x < 10) = P(\frac{x-\mu}{\sigma} -\frac{9.5-18}{3.7947} )[/tex]

⇒ [tex]P(x < 10) = P(Z < -2.24)[/tex]

From table,

⇒ [tex]P(x < 10) = 0.0125[/tex]

88.128 x 0.5 Multiplication question

Answer: 44.064

Step-by-step explanation:

**Answer:**

44.064

thats the answer

A new laundry detergent is supposed to be equally superior to the leading brand in both hot and cold water. If the new detergent works as predicted, then there should be an interaction between the brand of detergent and the temperature of the water.

a. True

b. False

Answer: false

Step-by-step explanation: because you set the temp not the liquids.

Un aserradero adquiere maquinaria y equipo para el corte de madera, que va perdiendo valor conforme transcurren los años, hasta que su valor contable es cero, como indica la gráfica de la función D(x)=(-x^3+2x^2+20x+20)/(x^2+4x+4) que modela esta depreciación en el eje y cada unidad son 20 000 pesos y en el eje x cada unidad es de 3 años.

a) ¿Cuál es el valor inicial del equipo y herramienta? ¿cuánto se ha depreciado al cabo de 12 años?

b) ¿existe un modelo lineal que aproxime los mismos valores que la función D(x)?

c) ¿En cuánto difieren los valores de ambas funciones al cabo de 9 años?

**Answer:**

-1 5

**Step-by-step explanation:**

(no links) Please Help!

9514 1404 393

**Answer:**

D, B

**Step-by-step explanation:**

Price per pound is found by dividing dollars by pounds.

Store A: $9/(3 lb) = $3.00 /lb

Store B: $9.75/(3 lb) = $3.25 /lb

Store C: $12.40/(4 lb) = $3.10 /lb

Store D: $14.50/(5 lb) = $2.90 /lb

Part A: The lowest price per pound is $2.90 per pound at **store D**.

Part B: The highest price per pound is $3.25 per pound at **store B**.

What is the domain for √(3x-3)? *

all real numbers except x=1

all real numbers for x≥1

all real numbers for x≥0

all real numbers except x=0

Domain and range are both

R

Explanation:

Note that your equation describes a line, since it is a polynomial of first degree. As a general result, every non-constant line has domain

R

and range

R

as well.

The domain is

R

because a line is, in particular, a polynomial, and every polynomial can be computed for every

x

.

The range is

R

because a non-constant line is either always growing or decreasing at a constant rate.

This means that, for every line, you always have one of this two situations:

lim

x

→

−

∞

f

(

x

)

=

−

∞

,

lim

x

→

∞

f

(

x

)

=

∞

or

lim

x

→

−

∞

f

(

x

)

=

∞

,

lim

x

→

∞

f

(

x

)

=

−

∞

and since every polynomial is continuous, it spans all the possible values from its minimum to its maximum. In other words, every line spans all the possible values from

−

∞

to

∞

, which means all the real number, thus the range is

R

.

R

Explanation:

Note that your equation describes a line, since it is a polynomial of first degree. As a general result, every non-constant line has domain

R

and range

R

as well.

The domain is

R

because a line is, in particular, a polynomial, and every polynomial can be computed for every

x

.

The range is

R

because a non-constant line is either always growing or decreasing at a constant rate.

This means that, for every line, you always have one of this two situations:

lim

x

→

−

∞

f

(

x

)

=

−

∞

,

lim

x

→

∞

f

(

x

)

=

∞

or

lim

x

→

−

∞

f

(

x

)

=

∞

,

lim

x

→

∞

f

(

x

)

=

−

∞

and since every polynomial is continuous, it spans all the possible values from its minimum to its maximum. In other words, every line spans all the possible values from

−

∞

to

∞

, which means all the real number, thus the range is

R

.

what is the first step to solving this equation?

-5+6=4

a. subtract 6 from both sides

b. multiply both sides by 5

c. divide both sides by -5

d. add 6 to both sides

Answer:

a. subtract 6 from both sides

Step-by-step explanation:

Given the algebraic expression;

-5c + 6 = 4

First of all, we would subtract 6 from both sides. This would eliminate the "6" on the left side.

-6 - 5c + 6 = 4 - 6

-5c = -2

5c = 2

Dividing both sides by 5, we have;

c = 2/5

Geometry i need help with this geometry question

**Answer:**

RS/XY = ST/YZ

**Step-by-step explanation:**

They need to follow the same direction and same length in comparision to the rest. From what I can see, that seems to be the one that does that best.

3,984,896 rounded to the nearest hundred

**Answer:**

3,984,896 rounded to the nearest hundred is 3,984,900

Jill says that 1 2/3 equals 3:5 is Jill correct

**Answer:**

*Not true. Actually, 1 2/3 equals 5/3.*

**Answer: No**

**Step-by-step explanation:**

If we were to change 1 2/3 into an improper fraction, it would be 5/3. This is expressed as 5:3, not 3:5. These two ratios are not the same. Therefore, Jill is not correct.

Hope this helped :)

The Home Depot has two special lawnmowers for sale this year. The electric mower costs $300 each, and the gas-powered mower costs $450 each. The store has room for 25 total mowers, and the store has to order at least $6000 worth of mowers to start the sale.

**Answer:**

300a + 450b ≤ 6000

**Step-by-step explanation:**

Given:

Cost of electric mower = $300

Cost of gas mower = $450

Total number of mower = 25

Cost of total mower is at least = $6,000

Find:

Number of each mower equation

Computation:

Number of electric mower = a

Number of gas mower = b

So,

Equations

a + b ≤ 25 ........ Equation 1

300a + 450b ≤ 6000 ....... Equation 1

state of the given functions are inverses. Part 3. NO LINKS!!!!

**Answer:**

9.

h(x)=-x-1

let y =-x-1

interchanging role of x & y

x=-y-1

y=-x-1

h-¹(x)=-x-1

again

f(x)=(2-3x)/2

let

y=(2-3x)/2

interchanging role of x & y

x=(2-3y)/2

2x-2=-3y

y=(2-2x)/3

f-¹(x)=(2-2x)/3

**G****i****v****e****n**** ****f****u****n****c****t****i****o****n**** ****a****r****e**** ****n****o****t**** ****i****n****v****e****r****s****e**** ****o****f**** ****e****a****c****h**** ****o****t****h****e****r****.**

10.

f(x)=-x+3

let y=-x+3

interchanging role of x & y

x=-y+3

y=3-x

f-¹(x)=-x+3

equal to g(x)=-x+3

**Given function are**** inverse of each other.**

**Answer:**

**Step-by-step explanation:**

Call h(x) = y (It's easier to see).

y = -x - 1

The first step is always to interchange x and y

y = -x - 1

-x = y - 1

Solve for y

-x + 1 = y

If I understand the question, these two (f(x) and h(x)) are not inverses.

10 is a bit tricky. An inverse can invert into itself: This is called an involution. But if they are differently labeled, I'm not sure. I don't think that this is exactly what is men by an involution. Something like y = x would be. But you have 2 different inverses. I'm not sure that this qualifies.

y = x + 3

g = x + 3

x = y + 3

x - 3 = y

PLEASE HELP!!!

Identify the axis of symmetry and the vertex on the graph given. Type your answer in the boxes provided.

A. axis of symmetry

B. x-intercepts

C. vertex

B. x-intercepts

C. vertex

A community organization wants to determine area support for the construction of a new skate park in the center of town. The organization decides to survey 500 people to see whether they are willing to have their taxes increased for one year to fund the construction of the skate park. What is the best way to randomly choose these 500 people? O Select the first 500 taxpayers listed at the town hall. O Survey the first 500 people who visit the existing skate park. O Assign each taxpayer in town a number and then randomly select 500 of these numbers. O Choose 100 taxpayers from 5 different age groups in town.

PLEASE HELP!!!!

**Answer: I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'**

**Step-by-step explanation: Happy Pride Month!!**

find the value of x in each case. will be posting more questions soon.

Go to photo math or cy math it will tell you the answer straight up

1/4 carton of ice cream divided wvenly by 3

Answer:

Hello There!!

Step-by-step explanation:

You multiply the reciprocal which is 4 by 3 and that is 12.

Another method: 1/4 ÷3 (use KFC) so it is keep 3,flip the fraction so it is 4/1 them change the sign ÷ into multiplication so it is 3×4/1=12. Therefore,the answer is 12.

hope this helps,have a great day!!

~Pinky~

The answer is 12 I think

Suppose you have a litter of mice which consists of 5 males and 3 females. If you randomly grab two of them without replacement.

1. what is the probability that they are both male?

2. what is the probability that you get at least one female

3. what is the probability that one is male and one is female

Problem 1

Answer:-----------------------

Explanation:

We have 5 males and 3 females, so there are 5+3 = 8 mice total. The probability of selecting a male is 5/8. After that male is chosen, there are 5-1 = 4 of them left out of 8-1 = 7 total. This subtraction happens because the first mouse selected is not replaced. The probability of picking another male is 4/7.

Multiplying these fractions leads to the answer

(5/8)*(4/7) = (5*4)/(8*7) = 20/56 = **5/14**

Note: to reduce 20/56 into 5/14, you divide both parts by the GCF 4.

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

Problem 2

Answer: 9/14-----------------------

Explanation:

The events "selecting two males" and "selecting at least one female" are complementary events. One or the other, but not both, must happen.

If we let

A = event of selecting two malesB = event of selecting at least one female (ie one or more females)then we can say

P(A) + P(B) = 1

P(B) = 1 - P(A)

P(B) = 1 - (5/14)

P(B) = (14/14) - (5/14)

P(B) = (14-5)/14

P(B) = **9/14**

Note how P(A) = 5/14 is the result from problem 1.

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

Problem 3

Answer: 15/28-----------------------

Explanation:

The probability of selecting a male is 5/8. After the male is chosen, there are 8-1 = 7 mice left. The probability the second mouse is female is 3/7 since there are 3 female mice out of 7 left total.

We get this result after multiplying the values: (5/8)*(3/7) = 15/56

Now consider that the first mouse is female. The probability of this is 3/8. The probability that the second mouse is male is 5/7.

The fractions multiply to (3/8)*(5/7) = 15/56. We get the same result as before due to the numerators swapping places, but not much else happens. So we have a sort of symmetry going on here.

The last step is to add the two results we got:

(15/56)+(15/56) = (15+15)/56 = 30/56 = **15/28**

Or you could compute it like this

2*(15/56) = (2*15)/56 = 30/56 = **15/28**

The '2' is to signify there are two ways to select exactly one male and exactly one female, where the order doesn't matter.

--------------------------

Here's another way we can get the answer.

The probability we get both males is 5/14 found back in problem 1.

The probability we get both females will follow the same idea as problem 1, and we would compute (3/8)*(2/7) = 6/56 = 3/28

Add those fractions: (5/14) + (3/28) = (10/28) + (3/28) = 13/28

Now consider the events

C = event of selecting two mice of the same gender (both are male OR both are female; pick 1 scenario only)D = event of selecting two mice of different genders (the first is male, the other is female, or vice versa)Events C and D are complementary events.

We calculated that P(C) = 13/28, which means

P(D) = 1 - P(C)

P(D) = 1 - (13/28)

P(D) = (28/28) - (13/28)

P(D) = (28-13)/28

P(D) = **15/28**

what is the volume of the prism 2m x 3m x 5m

**Answer:**

30 m³

**Step-by-step explanation:**

2 m x 3 m x 5 m= 30 m³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Ben rented a car. It cost $30.00 plus $0.25 per mile. If Ben paid $85.00 for the car rental, how many miles did he drive the car? Write an equation and then use your equation to find your answer.

**Answer:**

220 miles

**Step-by-step explanation:**

85-30=55

55/.25=220

220 = miles

**Answer:**

Equation:

30 + 0.25x = 85

Work:

30 + 0.25x = 85

85 - 30 = 55

55 / 0.25 = **220**

Final answer:

200 miles

**Step-by-step explanation:**

Hope this helped and have a nice day!!!

find the measure of the missing angle

**Answer:**

61

**Step-by-step explanation:**

Zoe is starting her own snow plowing business. Zoe thinks she will do a better job than her competitors, so she thinks she can charge $11 per hour. If she knows she will only be able to work 40.25 hours per week, how much money will she earn each week

**Answer:**

$442.75

**Step-by-step explanation:**

$11/hour x 40.25 hours/week=$442.75

35 Type the correct answer in each box. Day Amount 1 $26 2 $23 3 $31 4 $26 5 $34 The table shows the amount Bill spent on 5 days last week. The mean of the amount he spent is $ The mean absolute deviation is $ Reset Next

**Answer:**

The answer is 23 I just took this test and got it right

**Step-by-step explanation:**

**Answer: 23**

**Step-by-step explanation:**

-10f(x)x2 + 5x and g(x) = x + 4Find f(g(x))x2 + 13x + 162? + 30 + 36 x2 + 13x + 36 x2 + 3x + 209 10
A student's four test scores were 88, 91, 93 and 86. What score would be needed on a fifth test to obtain a mean of 90 for all five test?A. 90B. 92C. 95D. 96
2. Mark the figurative language technique used: "The ten-dollar FoundingFather without a father / Got a lot farther by working a lot harder"(Alexander Hamilton', Hamilton, 2015) *a) Metaphorb) Similec) Alliterationd) Rhyme
The mirror is a opaque object. When light hits the mirror, a small amount is reflected and converted to thermal energy, while most of the light waves are 1. absorbed2. transmitted3. reflected
Giant is to enormous as reliable is to
Read the sentence.Carrie said that its the best part of the movie.Which punctuation is missing?O 1. apostrophe2. quotation marks3. exclamation point4. comma
Summarize: How are the processes of natural selection and artificial selection similar? How are theydifferent?
Find x Secant tangent anglesILL MARK BRAINLIEST!!!
Finding missing angles
On fever 1793 Polly is late. Where does Mattie think Polly is?
Which of the following causes Mechanical Weathering? *1 point
The arrows in the image define the equation as( )A+B C+Dsynthesisreversibledecompositionexchange
_________________ Carlos al restaurante?A. voyB. vasC. vaD. vamosE. van
Five-sixths of the students in a math class passed the first test. If there are 36 students in the class, how many did not pass the test? *
Read the following passage from "The Magic Weaver" and answer the question that follows:Inside, all was drab and grey. A bunch of wildflowers plucked from a meadow in the valley would wither and die when carried through the gates. A basket of rosy apples would turn dry and tasteless. But worst of all, the children would drift around the rooms like ghostly shadows, unable to laugh or play.Which phrase from the passage contains a simile?children would drift around the rooms like ghostly shadowsrosy apples would turn dry and tastelessInside, all was drab and greywildflowers plucked from a meadow in the valley would wither and die
Which describes President Andrew Johnson?Question 3 options:He sought congressional advice on ReconstructionHe was loyal to the Union, stubborn and unwilling to compromise.He was extremely vain about his broad educationHe was an abolitionist who despised slavery.
Can someone please help!! Will mark brainlist!!!
Why does Percy feel different from others Please help me
what are the 5 similarities between acid and alkalis
i need help! would appreciate it