Triangle P R Q is shown. The length of side P R is 5 n. The length of side R Q is 32 + n. Angles R P Q and P Q R are congruent. What is the length of PR?

Answers

Answer 1

Answer:

20

Step-by-step explanation:

According to Triangle P R Q, if  angles R P Q and P Q R are congruent, this means that two of the sides of the triangle a re also congruent (Isosceles triangle).

We can say then that length of side PR is equal to that of RQ i.e PR = RQ

Given

PR = 5n

RQ = 32+n

Required

Length of PR

Since the two sides are equal i.e PR = RQ

5n = 32+n

5n - n = 32

4n = 32

n = 32/8

n = 4

Get PR;

Since PR = 5n

PR = 5(4)

PR = 20

Hence the length of PR is 20.

Answer 2

Answer:

40

Step-by-step explanation:


Related Questions

whats the answer 1 2 3

Answers

Answer:

600

610

You would round it to 600

Explanation:

Since 602 doesn't pass the five, it goes down to 600

512 64 18 16] 4 2 2 2 8 1 42 111 ( 8.1.2.1.1 4,2121 81111​

Answers

do you have an actual question you need help with or what

A student earned a grade of 80% on a math test
that had 30 problems. How many problems on
this test did the student answer correctly?

Answers

Answer:

24 problems

Step-by-step explanation:

equation: 80/100 = x/30

cross multiply: 100 * x = 80 * 30

multiply: 100x = 2400

divide each side by 100: x = 24

24 problems

I hope this helped, please mark Brainliest, thank you !!

The problems on the test the student got correctly is 24.

Percentage can be described as a fraction of a number expressed as a number out of hundred.

80% of the questions were gotten correctly.

Number of questions gotten corrected = percentage gotten currently x number of questions

80% x 30

= 0.8 x 30 = 24.

To learn more about percentages, please check: https://brainly.com/question/92258?referrer=searchResults

An online store advertises 40% off all items and free shipping. Gretta orders a pair of shoes originally priced at $65 and pays an 8% sales tax. How much will Gretta pay in total for this transaction? Show the steps you used to arrive at your solution.

Answers

Answer:

$42.12

Step-by-step explanation:

Calculation for How much will Gretta pay in total for this transaction

First step is to calculate the new price

New price=$65- ($65*40%)

New price=$65-26

New price=$39

Second step is to calculate the sales tax amount

Sales tax=8%*39

Sales tax=$3.12

Last step is to calculate How much will Gretta pay in total for this transaction using this formula

Total Amount to be paid=New price+Sales tax

Let plug in the formula

Total Amount to be paid=$39+$3.12

Total Amount to be paid=$42.12

Therefore the amount that Gretta will pay in total for this transaction will be $42.12

Any help would be appreciated(brainly for best answer)

Answers

Answer:

80*

80*

75*

120*

Step-by-step explanation:

both angle 1 and 2 for the first image have the same value as  the other angle of 80* because it is a set of parallel lines and one line going through it.

1 on the next set of images is 75* because is is an alternate exterior angle.

2 of the last set of images is 120* because it is same side interior angles.

write y-8=-(x+5) in standard form. plss and hurry​

Answers

x+y=3 (extra characters)

Susan just got a promotion that increased her annual salary from $52,000 to $68,000. Susan's monthly expenses included a mortgage payment of $1 500 three minimum credit card payments that total $350, a lease payment of $280, a student loan payment of $250, and a personal loan payment of $325. How did Susan's debt-to-income ratio change with her promotion?
a. Susan's debt-to-income ratio decreased by about 2%
b. Susan's debt-to-income ratio increased by about 2%
c. Susan's debt-to-income ratio decreased by about 15%.
d. Susan's debt-to-income ratio increased by about 15%​

Answers

Answer:

c. Susan's debt-to-income ratio decreased by about 15%

Step-by-step explanation:

Susan's previous salary = $52,000

Susan's new salary = $68,000

Susan's mortgage = $1,500

The total of three minimum credit card payment = $350

Her lease payment = $280

Her student loan payment = $250

Her personal loan payment = $325

Therefore, her total debt = $1,500 + $350 + $280 + $250 + $325 = $2,705

Her new Debt to loan ratio = (Her total deb)/(Her total new income) = 2705/68000 = 3.9779 %

Her previous to loan ratio = (Her total deb)/(Her total previous income) = 2705/52000 = 5.2%

The percentage change in her debt to income ratio = (5.202 - 3.9779)/5.202 ≈ 23% decrease

Therefore, the best option is Susan's debt-to-income ratio decreased by about 15%.

Answer:

c. Susan's debt-to-income ratio decreased by about 15%

Step-by-step explanation:

e d g e

Paige is buying asparagus and bananas at the grocery store. Asparagus costs $3.00 per pound and bananas cost $0.50 per pound. Write an inequality to represent the number of pounds of asparagus, a, and the number of pounds of bananas, b, that Paige can buy with a $20.00 bill.

Answers

Answer:

she can buy 10 bananas and 5 asparagus

Step-by-step explanation:

Answer:

Paige can buy 5 Asparagus and 10 bananas

Step-by-step explanation:

Expand pls help me

4ab(3a+b+5c)

Answers

Answer:

12a^2b+4ab^2+20abc

Step-by-step explanation:

Multiply 4ab sea

4abxb

4abx5c

What is the value of x and what does ACB equal to? Please answer as soon as possible! Thanks for your support!

Answers

Answer:

11 ; 12°

Step-by-step explanation:

3x + 28 + 2x - 10 + 5x + 52 = 180

10x = 180 - 70

x = 11

m∠C = 2(11) - 10 = 12°

Answer:

Angle ACB = 12°

Step-by-step explanation:

All angles in a triangle always add up to 180°, which gives us an equation to solve for x:

3x + 28 + 5x + 52 + 2x -10 = 180

Combine like terms

10x + 70 = 180

Subtract 70 from both sides

10x = 110

Divide both sides by 10

x = 11

Now we know the value of x, we need to just plug it in to angle ACB's given value:

2(11) - 10 = Angle ACB

22 - 10 = Angle ACB

12 = Angle ACB

I NEED HELP!!! with number 6, & 8?

Answers

Answer:

#6 =8

#8 =3

Step-by-step explanation:

the attached image is step by step

What is y'all's favourite show on Netflix?
What is 9/6*6/7

Answers

Answer:

The Vampire Diaries and the spin offs 100%

THE UMBRELLA ACADEMY <3

It's really good, 7 brothers have super powers and they are gonna try to stop the apocalipse. My favorite character is Five btw, i'm simping on him lol

Equation- a(10x+6)=b+40x. What is the value of A and B

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]a(10x + 6) = 40x + b[/tex]

[tex]10ax + 6a = 40x + b[/tex]

Thus :

[tex]10ax = 40x[/tex]

x s simplifies

[tex]10a = 40[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{40}{10} \\ [/tex]

[tex]a = 4[/tex]

_________________________________

And also must :

[tex]6a = b[/tex]

[tex]b = 6a[/tex]

[tex]b = 6(4)[/tex]

[tex]b = 24[/tex]

_________________________________

So :

[tex]a = 4[/tex]

[tex]b = 24[/tex]

Done...

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Nichole needs to spend at least four hours each week practicing the guitar

she already practiced 2 1/3 hours this week she wants to split the remaining practice time evenly between the last 2 days of the week write an inequality to determine the minimum number of hours she needs to practice on each of the 2 days

Answers

Answer:

two and one third + 2x ≥ 4

Step-by-step explanation:

From the information given:

The number of hours Nicole already practiced with  = [tex]2 \dfrac{1}{3}[/tex]

However, she wants to further her practice for 2 days and make sure that each day equal each other

Let consider y be the hours she practiced each day

Then, the number of hours she will practice in two days will be 2y

Thus, the total number of hours she practiced can be computed as

= [tex]2 \dfrac{1}{3}+2[/tex]

Suppose Nicole desire to practiced for at least 4 hours,

Then,

[tex]2 \dfrac{1}{3}+2 \ge 4[/tex]

Therefore, the required inequality to determine the  minimum number of hours she needs to practice on each of the 2 days suppose she practiced for at least 4 hours a day is:

two and one third + 2x ≥ 4    i.e. [tex]2 \dfrac{1}{3}+2 \ge 4[/tex]

The winning baseball team scores 4 times as many runs as its opponent. The winning team scores 8 runs. Write an equation with an unknown to find the number of runs it opponent scores. Then solve the equation show your work. Someone please tell me

Answers

Answer:

4x+8=x

Step-by-step explanation:

Please help with this!!

Answers

9514 1404 393

Answer:

  F  HL

Step-by-step explanation:

No right angle is shown, so the HL theorem cannot be used.

A scuba diver is swimming -2.5 feet per minute. How many minutes did it take the scuba diver to reach the depth of 11 1/4 feet

Answers

Let me = the minutes we are searching for.

(-2.5)/11_1/4 = 1/m

Rewrite 11_1/4 as 45/4.

(-2 5)/(45/4) = 1/m

Cross-multiply to find m.

45/4 = -2.5m

Divide both sides by -2.5.

45/4 ÷ -2.5 = m

Use your calculator and good luck.

A math problem has 25 questions.Some are worth 2 points and some are worth 3 points. The test is worth 60 points in total. Which systems can be used to determine the number of 2 points and the number of 3 points on the test?

Answers

Answer:

There can be many possibilities

Possibilities:

one possibilities that is perfect according to me is:-

15questions of 2 points

15×2=30 points

.

.

10questions of 3 points

10×3=30 points

.

.

Total =30+30=60 points

.

.

Hope it helped you

lf not then I am sorry for this.

Bye

.

.

Good morning

Good evening

Good night

The system reveals that there are 15 questions worth 2 points and 10 questions worth 3 points on the test.

Given:

Total question = 25

Marks for question= 2 or 3 points

Total marks = 60

Let x be the 2-point questions and y be the number of 3-point questions.

As, there are a total of 25 questions then

Equation1 : x+ y= 25

and, total points in the test is 60 then

Equation 2 : 2x+ 3y = 60

From equation 1: y= 25 -x.

Substitute y = 25 -x  into the Equation 2

2x + 3(25-x) = 60

2x + 75- 3x= 60

75 - x = 60

-x = 60 - 75

-x = -15

x= 15

Now, the value of y is

y = 25 -x

y = 25 - 15

y =  10

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ4

Need help with this question! :)

Answers

Answer:

13 i think

Step-by-step explanation:

Find the distance between the points given.
(0, -6) and (9,6)
9
15
square root of 26

Answers

Answer:

15

Step-by-step explanation:

Using the distance formula will help you with this!

3) In a video game, Siobhan encountered 40 magic rocks and collected 12 of them. What percent of the magic
rocks that she encountered did she collect?

Answers

Answer:

30%

Step-by-step explanation:

which one is correct

Answers

Yellow yellow yellow

Answer:

15

Step-by-step explanation:

NNNNNNNNEED HELP!!!!!

Answers

Answer: First box=3, second box=4, third box=0, last box=2

Step-by-step explanation: Do the math for the boxes.

factor x^2+6x-16 into the form (x+a)(x-b), what is a and b?

Answers

Answer:

a=-8 b=2

Step-by-step explanation:

x^2+6x-16

x^2+(8-2)x-16=0

x^2+8x-2x-16=0

X(X+8)-2(X+8)=0

(X+8)(x-2)=0

Compare with (X+a)(X+b)

Where we get a=-8 b=2

what line is parallel to y=3x-6 and passes through the point 2,-4

Answers

Y+4=3(x-2)
Y+4=3x-6
Answer: Y=3x-10

Greg went out for breakfast and had pancakes for $5.95, sausage for $1.50, and orange juice for $1.75. He would like to tip the waiter 15% of the total price. How much tip should Greg leave?


$1.16

$1.23

$1.38

$1.12


PLZ SHOW WORK OR SAY HOW TO DO IT TO GET BRAINLIYAST

Answers

Answer:

$1.38

Step-by-step explanation:

Step one:

given data

pancakes =$5.95,

sausage = $1.50, and

orange juice =$1.75.

Total amount spent =5.95+1.50+1.75= $9.2

Step two:

15% of $9.2

=15/100*9.2

=0.15*9.2

=$1.38

Greg gave a tip of $1.38

John increased the amount of water he drinks every day from
32oz to 58oz By what percentage dd John increase the
amount of water he drinks?
4685% b) 58.1%
c) 68.9% d) 81.25%
O a 46.85%
Ob 58.1
0 C 88.9%
od 81.25%

Answers

% Increase = Increase/original number x 100
Let I represent increase

((58-32)/32) x 100 = I
58oz - 32oz = 26oz
26/32 x 100 = I
0.8125 x 100 = I
Increase = 81.25%

if the length of a cube is 6 inches, what is the surface area?

Answers

Answer:

[tex]\huge\boxed{216 \ \text{in}^2}[/tex]

Step-by-step explanation:

We can find the surface area of an object by finding the area of all its sides and adding them up.

We know that a cube has 6 identical sides. Therefore, we can just find one side and multiply by 6.

A cube is made up of 6 squares. We can find the area of this square by squaring the length (multiplying it by itself).

Since the length is 6, that means the area of one side of the cube must be [tex]6^2 = 6 \cdot 6 = 36 \ \text{in}^2[/tex]

Since there are 6 identical sides, the total surface area must be:

[tex]36 \cdot 6 = 216 \ \text{in}^2[/tex]

Hope this helped!

A square has a side length of x + 3. A regular octagon has a side length of 3x. If the polygons have the same perimeter, determine the value of x.

Answers

Answer:

x = ⅗ = 0.6

Step-by-step explanation:

A square has four equal sides.

If a square has a side length of [tex] x + 3 [/tex], therefore,

Perimeter of the square = [tex] 4(x + 3) [/tex]

[tex] = 4x + 12 [/tex].

Also, a regular octagon has 8 equal sides.

If it has a side length of 3x, therefore:

Perimeter of the octagon = [tex] 8(3x) [/tex]

= [tex] 24x [/tex]

Given that the Perimeter of the rectangle and the octagon are the same, to find the value of x, set each perimeter equal to the other.

Thus:

[tex] 24x = 4x + 12 [/tex]

Subtract 4x from each side

[tex] 24x - 4x = 12 [/tex]

[tex] 20x = 12 [/tex]

Divide both sides by 20

x = 12/20 = ⅗ = 0.6.

Write the number 0.00003489 in the form a x 10k

Answers

Answer:

that is wrong you know, right?

Step-by-step explanation:

Answer:

3.489 * 10^-5

Step-by-step explanation:

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