In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle PQR = (2x+6)^{\circ}m∠PQR=(2x+6) ∘ , \text{m}\angle RPQ = (x-7)^{\circ}m∠RPQ=(x−7) ∘ , and \text{m}\angle QRS = (5x-17)^{\circ}m∠QRS=(5x−17) ∘ . What is the value of x?x?

Answers

Answer 1

The value of x according to the given information is 8

Sum of interior angle

The sum of interior angle of a triangle is equal to the exterior

Given the following

interior angles = PQR=(2x+6)  and ∠RPQ=(x−7)

exterior = m∠QRS=(5x−17)

According to the theorem

5x -17 = 2x+6+ x - 7

5x - 17 = 3x - 1

5x-3x = -1 + 17

2x = 16

x =8

Hence the value of x according to the given information is 8

Learn more on exterior angle theorem here; https://brainly.com/question/11900288

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Related Questions

4+9=−2−3

What is the solution to the equation above?

Answers

Answer:

13= -1

Step-by-step explanation:

the perimeter of a yard is 25 yards. if the length of the yard is 5, what is the width of the yard?

Answers

Answer:

the width would be 7.5

Step-by-step explanation:

Answer: i believe it would be 7.5 because the perimeter is 25 and you just add cause your not finding the area

La altura de una portería de futbol reglamentaria es de 2.4m y la distancia desde el punto de penalti hasta la raya de gol es de 10.8m. ¿Qué distancia recorre un balón que se lanza desde el punto de penalti y se estrella en el punto central del larguero?

Answers

Answer:

11.06 meters

Step-by-step explanation:

Given that

The height of a regulation soccer goal is 2.4 meters

And, the distance is 10.8 meters

We need to find out the hypothesis

Here we applied the pythagoreans theorem

So,

= √ (2.4m) ^2 + (10.8 m) ^2

= √5.76 m^2 + 116.64m^2

h = 11.06 m

Hence, the hypothesis is 11.05 meters

In two or more complete sentences, describe the similarities and differences of making a purchase with a debit card and/or a credit card.

Answers

Answer:

See below

Step-by-step explanation:

When you make purchases with a debit card, you are borrowing funds from your own bank account. When you make purchases with a credit card, you are borrowing funds from the bank, typically to pay it back to the bank later.

Which is not equivalent to 8/12

16/24
24/48
4/6
24/36

Answers

Answer:

The second one, 24/48

Brainliest would be great!

Answer:

24/48

Step-by-step explanation:

Answer to thisssssss

Answers

Answer:

[tex]\huge\boxed{P\approx267.75m}[/tex]

Step-by-step explanation:

Look at the picture in the attachment.

x it's the quarter of  the circle with the radius r = 75m.

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

Therefore

[tex]x=\dfrac{1}{4}\cdot2\pi r=\dfrac{1}{2}\pi r[/tex]

Substitute r = 75m:

[tex]x=\dfrac{1}{2}\pi\cdot75=37.5\pi(m)[/tex]

The PERIMETER of the shaded region:

[tex]P=2\cdot75+37.5\pi=(150+37.5\pi)m\\\\\pi\approx3.14[/tex]

substitute

[tex]P\approx150+37.5\cdot3.14=150+117.75=267.75(m)[/tex]

Bobby is playing hide-and-seek with Clarence and Heather. Clarence is hiding 75 feet south of
Bobby, and Heather is hiding due east of Clarence. If Bobby is 85 feet from Heather, how far
apart are Clarence and Heather?

Answers

Om said that he had a good

Find the value of x and y

Answers

Answer:

2x + 20 = 3x-10

2x -3x = -20-10

-x = -30

x= 30

Checking part:

2x+20 = 2(30) +20 = 60+20 = 80

3x-10 = 3(30) - 10 = 90-10 = 80

Hence, the final answer is x = 30.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

the angle should be the same so,

2x+20=3x-10

x=30

what do you mean find y? I can't see it

A student has taken three math tests so far this semester. His scores for the first three tests were 71, 75, and 79. Part A: Suppose his test scores continue to improve at the same rate. What will be the grade on the sixth and (final) test?

Answers

Answer:

The grade of this sixth and (final) test would be 91.

Step-by-step explanation:

This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:

a₁ = 71

r = 4

a₆ = the sixth term that needs to be found out

n = 6

Formula of an arithemetic series:

aₙ = a₁ + r(n - 1)

a₆ = 71 + 4(6 - 1)

a₆ = 71 + 4(5)

a₆ = 71 + 20

a₆ = 91

Hence, the grade of this sixth and (final) test would be 91.

Hope this helps!

Find the volume of a hexagonal pyramid with a base area of 147 square meters and a height of 4 meters.(1 point) 294 cubic meters 588 cubic meters 147 cubic meters 196 cubic meters

Answers

Answer:

Volume of a hexagonal pyramid = 588 square meter

Step-by-step explanation:

Given:

Base area of hexagonal pyramid = 147 square meter

Height of hexagonal pyramid = 4 meter

Find:

Volume of a hexagonal pyramid

Computation:

Volume of a hexagonal pyramid = Base area of hexagonal pyramid x Height of hexagonal pyramid

Volume of a hexagonal pyramid = 147 x 4

Volume of a hexagonal pyramid = 588 square meter

What percent of the data is less than 10 texts?

Group of answer choices

25%

50%

75%

100%

Answers

I think it would be 25%

question 5 plz help !!!!!!!

Answers

Answer:

4.c5.a

Step-by-step explanation:

#CARRY ON LEARNING#MARK BRAINLITS

Answer:

The answer is letter D.

why?

Step-by-step explanation:

Id.k -_-

j0ke

=

2

π

r

=

2

π

3

18.84956

and that's it

HOPE IT HELPS

(FROM CROSS)

ANSWER BOTH!!! A. An international company has 18,600 employees in one country. If this represents 18.2% of the company's employees, how many employees does it have in total?
Round your answer to the nearest whole number.

B. A house on the market was valued at $316,000. After several years, the value decreased by 7%. By how much did the house's value decrease in dollars? What is the current value of the house?

Decrease in value: $
Current house value:$

Answers

Answer:

A. 102,198 employees

B. $22,120 decrease

$293,880 current value

Step-by-step explanation:

A rectangular pasture has a fence around the perimeter. The length of the fence is 8x^7 and the width is 6x^4. What is the area of the pasture?

Answers

Answer:

Answer:

The area of the rectangular pasture is 768x^{11}\ unit^{2}.768x

11

unit

2

.

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

A rectangular pasture has a fence around the perimeter. The length of the fence is 16x^{7}16x

7

and the width is 48x^{4}48x

4

.

Put all the values in the formula

Area\ of\ a\ rectangular\ pasture = 16x^{7}\times 48x^{4}Area of a rectangular pasture=16x

7

×48x

4

Now by using the exponent

x^{a}\times x^{b} = x^{a+b}x

a

×x

b

=x

a+b

Area\ of\ a\ rectangular\ pasture = 16\times 48\times (x^{7+4})Area of a rectangular pasture=16×48×(x

7+4

)

Area\ of\ a\ rectangular\ pasture = 768(x^{11})Area of a rectangular pasture=768(x

11

)

Therefore the area of the rectangular pasture is 768x^{11}\ unit^{2}.768x

11

unit

2

.

Answer:

C. 768x11

Step-by-step explanation:

Help please (: :). .

Answers

Answer:37.68

Brainliest pls

Answer:

The circumference of the circle is 75.36cm

Step-by-step explanation:

There are two ways you can solve this, one is by using the radius and multiplying it by 2 and then pi which is 3.14, and the other is to use the diameter which is the radius times 2, and the thingy gave you the diameter, and you multiply it by 3.14 which is pi

please help, will give brainliest.

Answers

Answer:

13)  8r = 256;   r = 32

14)  f = 2(5)

15)  8t = 208;    208/8 = 26

Step-by-step explanation:

The total cost of 8 identical pens and 2 identical files is $32 The total cost of 3 such files is the same as the total cost of 4 such pens. Find the cost of each file

Answers

Answer:

$4

Step-by-step explanation:

Given that

total cost of 8 identical pens and 2 identical files is $32

And, the The total cost of 3 such files would be the same  as the total cost of 4 such pens

We need to find out the cost of each file

So let us assume the following things

Pens be x

File be y

Now

8x + 2y = $32 ....(1)

3y = 4x.........(2)

y =  4x÷ 3

Now put the value of y in equation 1

8x + 1.33x = 32

x = $3.55

x = $4

The cost of each file based on the given information is $4

where:

Let the cost of a pen be xLet the cost of a file be y

Simultaneous equation

If the total cost of 8 identical pens and 2 identical files is $32, hence;

8x + 2y = 32

If the total cost of 3 such files is the same as the total cost of 4 such pens, then;

4x = 3y

From the equation

8x + 2y = 32

2(4x) + 2y = 32

2(3y) + 2y = 32

8y = 32

y = 4

Since 6=4x = 3y

4x = 3(4)

4x = 12

x= 3

Hence the cost of each file is $4

Learn more on simultaneous equation here: https://brainly.com/question/6597041

5. A ladder leans against a building. The top of the ladder touches the building 10 feet above the ground. The foot of the
ladder is 4 feet from the building. Find, to the nearest degree, the angle that the ladder makes with the level ground.
(3 points)

Answers

Answer:

68 degrees

Step-by-step explanation:

The ladder, the building and the ground together make up a right triangle with angle of elevation to be determined.

The side opposite this angle is 10 ft; the distance of the foot of the ladder from the building is 4 ft.  Thus,

tan x = (opp side) / (adj side) = 10/4.  Using the inverse tangent function, we find that the angle in question is

arctan (10/4) = 68 degrees

Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Complete the model to represent Sage’s minutes.

Enter the correct answers in the boxes.

Answers

Answer

omgggggggg same i dont know how to do it either

Step-by-step explanation:

Answer:

there is 11 min all to together for sage and tom so they did not have the same cell phone line

Step-by-step explanation:

its easy

If the measurement of angle 2 is 120 degrees, what is the measurement of angle 7?

Answers

Answer:

The measure of angle 7 is twice the measure of angle 2, then the measure of angle 7 is

angles 2 and 7 equal 180 degrees.  180 = 2x + x

180 = 3x

x = 60

angle 7 is twice x

angle 7 = 120

Step-by-step explanation:

What is the answer for 2v-6/3-v ?

Answers

Step by step explanation:

2v−6

3-v

Factor the expressions that are not already factored.

2(v−3)

−v+3

Extract the negative sign in −3+v.

−2(−v+3)

−v+3

Cancel out −v+3 in both numerator and denominator.

−2

Answer:

-2

Look at the table below. What is the mode of the data

Answers

4, The numbers of week occurs more than other days.

Valerie saves 70% of the money she earns from gardening. How much will she save from a job that
pays her $56?



Answers

.70x $56= $39.2 hope this helps

11/50 as a percentage

Answers

(11/50)100 = 22%

22% is the answer

Step-by-step explanation:

4. Ito ay baluktot na gawaing may kinalaman sa pagpapayaman nang

ilegal.

PLEASE HELP!! WILL GAVE BRAINLIEST TO FIRST ANSWER THAT SHOWS STEPS!

Which function is best represented by this graph?

A. y= 1/2 x + 6
B. y= -2x + 3
C. y= -2x + 6
D. y= -1/2x + 3

Answers

I’m not sure but I think it’s B

If you work 11 hours per week and get paid 11.71 per hour how much do you get paid per month and per year

Answers

515 per month

6182 per year

ASAP need help look at picture thx !!

Answers

Answer:

G

Step-by-step explanation:

We can rule out F and H because those have decaying equations. If the answer was to be J, the first point would have been 1000.

Therefore, the answer is G.

Neal estimated √50 by determining that the two perfect squares nearest 50 are 49 and 64. Select the two consecutive whole numbers that the √50 is between to complete the sentence. √50 is between and .

Answers

Answer:

7 and 8

Step-by-step explanation:

Which mapping represents a function?

Answers

The answer to the question is B

someone help please :(

Answers

Answer:

47 I believe

Step-by-step explanation:

3 Because if you do 68-65 u will get 3
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