PQR is an isosceles triangle with vertex angle Q, PQ = 5x - 24, QR = 3x - 2, and PR = 5x - 8.The length of each leg of △PQR is

Answers

Answer 1

Answer:

PQ = 31

QR = 31

PR = 47

Step-by-step explanation:

From the question, we have the vertex as Q

This means that we have the legs as PQ and QR; with PR as the base

The base angles of an isosceles triangle are equal and that means that the leg length values are equal

So, QR = PQ

Thus;

3x-2 = 5x-24

5x-3x = 24-2

2x = 22

x = 22/2

x = 11

So we have PQ as;

5(11) - 24 = 55-24 = 31

QR = 3(11) -2 = 33-2 = 31

PR = 5x-8 = 5(11)-8 = 55-8 = 47


Related Questions

21 years 8 months =
months?

Answers

Answer:

260 months.

Step-by-step explanation:

Since there are 12 months in per year,

12 ⋅ 21 = 252.

There are 252 months in 21 years.

Then add the months left over.

252 + 8 = 260.

There are 260 months in 21 years, 8 months.

Please fill in will give brainiest to first answer ddddddddddddddddddddddddddddddddddddddddddd

Answers

Democratic: 133 | 17 | 150
Republican: 18 | 142 | 160
Total: 151 | 159 | 310

3x+3 gbggggggggggggggggggggg

Answers

Answer:

I think it is 3(x+1) not sure but try it(it is a graph answer)

22. Write a polynomial in simplest form
to express the shaded area in terms of .
9x2
7x​

Answers

Answer:

The area of the shaded portion is;

A= π (81x^4 - 49x^2)

Step-by-step explanation:

Looking at the given figure, the area of the shaded part is simply the area of the bigger circle minus the area of the smaller circle

The bigger circle has a radius of 9x^2

The smaller circle has a radius of 7x

The radius is the distance from the center to any part of the circumference

The area of a circle can be calculated using the formula;

A = pi * r^2

For the bigger circle, we have;

A = pi * (9x^2)^2

A = pi * 81x^4

for the smaller circle, we have;

A = pi * (7x)^2

A = pi * 49x^2

So the area of the shaded portion will be;

A= π (81x^4 - 49x^2)


15 = 0.25x
What is the value of x?

Answers

Answer:

x = 60

Step-by-step explanation:

15 = 0.25x

x = 15/0.25 = 60

Answer:

[tex]15 = 0.25x \\ \frac{15}{0.25} = x \\ \frac{15}{ \frac{1}{4} } = x \\ 15 \div \frac{1}{4} = x \\ 15 \times \frac{4}{1} = x \\ 15 \times 4 = x \\ 60 = x[/tex]

Value of x is 60.

[tex] \infty \infty \infty \infty \infty [/tex]

Giving brainlist to whoever answers

Answers

Answer:

240 in^3

Step-by-step explanation:

1) remember that a laundry detergent box has a shape of a rectangle parallelepiped

2) find the volume with this formula:

V = base x width x height

V = 12 x 8 x 2.5 = 240 in^3

lf 3/5 of the distance between two places is 36 km find the distance between the places​

Answers

Answer:

60km

Step-by-step explanation:

3/5 = 36km

1 = ?

36 × 5/3=60km

Step-by-step explanation:

Solve it by Unitary method

3/5=36

1=X

so,

3/5x=36×1

5X=36×3

X=108/5

21.6 km Answer

hope it helps

NO LINKS OR I WILL REPORT but helppp plsss A triangle has two sides of length 3 and 3. What value could the length of the
third side be? Check all that apply.

Answers

3 answers: Choice A), Choice C), Choice D)

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

Explanation:

We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:

b-a < c < b+a

3-3 < c < 3+3

0 < c < 6

The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.

Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.

Is (x+4)^2equivalent to 2x^2+8x+8

Answers

Answer:

[tex](x+4)^{2} = x^{2}+8x+16[/tex]

Step-by-step explanation:

Evaluate each expression: 2^5

Answers

Answer:

2^5 = 32

Step-by-step explanation:

2^5 is the same as 2⋅2⋅2⋅2⋅2, which equals to 32.

Answer:

32

Step-by-step explanation:

2^5 = 32

A rectangle has an area of 35 square meters what could the length and width be

Answers

Answer:

7 and 5

Step-by-step explanation:

7 times 5 = 35

sorry if i got it wrong

Answer:

Step-by-step explanation:

Factors of 35 are 1,5,7 and 35

width 5m ,  length 7m

  or

width 1 m ,  length 35m

If 300 students were surveyed in Mrs. Morton's class, how many chose badminton as their elective?

Answers

Answer:

150

Step-by-step explanation:

300/2 = 150

50%, or half, of 300 is 150

Which of these is a statistical question?

A.How tall is the Willis Tower?
B.How many times has Mark visited the Willis Tower?
C.How many people visit the Willis Tower each day?
D.How tall is Mark?

Answers

Answer:

C

Step-by-step explanation:

Which numbers are perfect squares 1,2,16,18,32,44,94,100

Answers

Answer:

1, 16, 100

Step-by-step explanation:

1 = 1^2

16 =4^2

100 = 10^2

Answer:

1, 16, 100

or

A, C, H

Step-by-step explanation:

GIVING BRAINLEST AND THANK YOU AND FIVE STARS IF CORRECT, ANY FILE LINK IS INSTANT REPORT
Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She records its color and returns the marble to the bag. This would be a dependent event. True or False?

Answers

Answer:

true

Step-by-step explanation:

Answer:

The answer is yes.

Step-by-step explanation:

This is dependent because whichever color marble she picks out, is dependent on how many marbles of that color are in the bag. For example, since their are 25 blue marbles, there is a higher probability that she will pick a blue marble that any of the other colors.



2

Beth performed an experiment in which she randomly drew one napkin at a time from a drawer, with replacement. The drawer contained one napkin each of gray, cyan, beige, lilac, and crimson colors. The results of her experiment are shown below.

Napkin Color Times Drawn

gray: 6

cyan: 17

beige: 10

lilac: 2

crimson: 19


Based on the experiment above, predict the number of times a crimson napkin would be drawn if she performs the experiment a total of 162 times.

 A. 56

 B. 57

 C. 59

 D. 58​

Answers

Answer:

51

Step-by-step explanation:

help help help help helph helph epl

Answers

A: 7.2

B: 14.1

C: 9.5

D: 3.7

E: 8.1

Alyssa has 216 large sprinkles she divided them equily beetwen a dozen cupcakes. How many sprinkles does Alyssa have to put on each cupcake

Answers

Answer:

18

Step-by-step explanation:

216/12

Answer:

18 sprinkles per cupcake

Step-by-step explanation:

Find the "unit rate."    That's (216 sprinkles) / (12 cupcakes), or

18 sprinkles per cupcake.

An empty bucket weighs 800g.
The weight of the bucket increases to 3.3kg when filled with water.
Calculate the percentage increase in the weight of the bucket.

Answers

Answer:

312.5%

Step-by-step explanation:

Convert 3.3kg to grams by multiplying by 1000

3.3×1000=3300g

%increase =Increase ÷Original ×100%

Increase=3300g -800g=2500g

2500÷800×100

=312.5%

The percentage increase in the weight of the bucket due to filling of water into it is 312.5.%

What is a percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. It can be calculated by using the formula:

Percentage=number*100/total number

How to calculate percentage?

We have been given that the weight of empty bucket is 800g and the weight of the bucket increases to 3.3 kg when filled with water.

We will first convert 3.3kg to g which will be 3300g

The percentage increase in the weight of the bucket

=(3300-800)*100/800

=250000/800

=2500/8

=312.5%

Hence the percentage increase in the weight of the bucket is 312.5%.

Learn more about percentage at https://brainly.com/question/24304697

#SPJ2

This net represents an unfolded box.
What is the total surface area, in square inches, of this box.

Answers

Answer:

The answer is C. Which is 248 square inches.

Step-by-step explanation:

Just answer these ig

Answers

Answer:

(d). 1/14

(e). -2 11/14

(f). -6.315

Step-by-step explanation:

Answer:

d). 1/14  e). -59/24  f). -6.315

Step-by-step explanation:

d). 1/14

e). -59/24

f). -6.315

(b) Scott added 8 fish to his pond each day for 64 days. What was the total change in the number
of fish in the pond?
fish

Answers

Answer:

512

Step-by-step explanation:

8 fish per day x 64 days

512 fish

what has two sides but can sometimes look like a line

Answers

Answer:

A string

Step-by-step explanation:

A plane will look like a line when viewed from a certain angle.

What is a plane?

A plane is a two-dimensional, Euclidean, infinitely long surface in mathematics. A plane is a point's (zero dimensions), a line's (one dimension), and space's (three dimensions) two-dimensional equivalents.

A plane may appear as a subspace of a higher-dimensional space, such as the infinitely long wall of a room, or it may exist independently in its own right, such as in the context of two-dimensional Euclidean geometry. The terms hyperbolic plane and elliptic plane are two examples of two-dimensional surfaces that can sometimes be described more widely by the word plane.

A plane has two sides but when observed from a certain angle it can look like a line.

learn more about planes here :

https://brainly.com/question/1962726

#SPJ2

Find x to the nearest tenth

Answers

Answer:

Answer is C

Step-by-step explanation:

Sin67°=x/20

x=20sin67°

x=18.4

Magda and Nicholas each purchase almonds and cashews for their trail mix recipes as shown. What is the cost per pound of almonds and cashews?​

Answers

Answer:almonds: 10.20

Cashews :12:40

Step-by-step explanation:

The cost per pound of almonds and cashews are 10.20 and 12:40, respectively

How to determune the unit costs of almonds and cashews?

From the complete question, we have the following equations

6a + c = 73.6

4a + 3c = 78

Make c the subject in 6a + c = 73.6

c = 73.6 - 6a

Substitute c = 73.6 - 6a in 4a + 3c = 78

4a + 3(73.6 - 6a) = 78

Open the bracket

4a + 220.8 - 18a = 78

Evaluate the like terms

14a = 142.8

Divide by 14

a = 10.20

Substitute a = 10.20 in c = 73.6 - 6a

c = 73.6 - 6 * 10.2

Evaluate

c = 12.4

Hence, the cost per pound of almonds and cashews are 10.20 and 12:40, respectively

Read more about system of equations at:

https://brainly.com/question/14323743

Solve 2x2 - 6x = -8.

Answers

Answer:

x=2

Step-by-step explanation:

solve for s

8+10s=-2+9

Answers

I don’t honestly know

pls help me!!
i will give brainliest!!

Answers

Answer:

D

Step-by-step explanation:

Genuinely confused please help

A business has a profit of $32,000 in 1990 that increased by 15.5% each year. Find the profit of the company after 3 years.

Please help as I have no clue how you can't get a whole number

Answers

Answer: $49,305.56

Step-by-step explanation:

A(t)=a(1+r)^t (its subtraction if the thing decreases)

A(t)=amount after t time periods

t=number of time periods

a=initial amount

r=rate of growth (can’t be a percent, change by moving two decimal places)

A(t)=32000(1+0.155)^3

4-13 writing exponential equations

Answers

Answer:

[tex]y=2(\frac{1}{3})^x[/tex]

Step-by-step explanation:

Let the equation of the given exponential function is,

y = a(b)ˣ

Graph of the given exponential function passes through (0, 2) and (-1, 6)

For a point (0, 2),

2 = a(b)⁰

a = 2

For another point (-1, 6),

6 = 2(b)⁻¹

3 = b⁻¹

b = [tex]\frac{1}{3}[/tex]

Therefore, equation of the exponential function will be,

[tex]y=2(\frac{1}{3})^x[/tex]

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