Given \qquad m \angle QPS = 107^\circm∠QPS=107 ∘ m, angle, Q, P, S, equals, 107, degrees \qquad m \angle RPS = 4x + 27^\circm∠RPS=4x+27 ∘ m, angle, R, P, S, equals, 4, x, plus, 27, degrees \qquad m \angle QPR = 9x - 115^\circm∠QPR=9x−115 ∘ m, angle, Q, P, R, equals, 9, x, minus, 115, degrees Find m\angle QPRm∠QPRm, angle, Q, P, R:

Answers

Answer 1

Answer:

20°

Step-by-step explanation:

4x+27°+9x-115°=107°

4x+9x + 27°-115°=107°

13x-88°=107°

add 88 on both sides

13x=195°

divide 13 on both sides

x=15

9(15°)-115°

135°-115° = 20

The answer is 20

Answer 2

Answer:

20

Step-by-step explanation:


Related Questions

Josie has 63 beads. Emma has twice as many beads as Josie. If it takes 30 beads to make a bracelet, what is the greatest number of bracelets they can make by combining their beads?

Answers

Answer: 6

Step-by-step explanation:

                 

The ratio of flowers the rose bushes bloom is 5 red for every 7 yellow. If there are 105 yellow rose blooms, about how many red rose blooms are there?

Answers

Answer:

147

Step-by-step explanation:

if you divide 105 by 5, you get 21. Multiply 7 by 21 to get your answer.

WORTH 30 POINTS PLS HELP!
On a windy morning, a hot air balloon starts rising and flying away from the top of a hill. The altitude, h, in feet, of the balloon x hours after starting its ascent from the hill, can be modeled by the function:
Part A: What is the y-intercept for this function? What does the y-intercept represent in the given situation? Use your equation to explain how you found your answer.
h(x)=-16x2+64x+80

Answers

Answer:

The y-intercept is y = 80feet. The initial height of the balloon is 80feet.

Step-by-step explanation:

[tex]h(x)=-16x^2+64x+80[/tex]

The y-intercept of the function happens when the x-value = 0. So let's plugin x=0 into the function:

[tex]h(x)=-16x^2+64x+80\\h(x)=-16(0)^2+64(0)+80\\h(x)=80[/tex]

The y-intercept is y = 80feet

x represents the number of hours after starting its ascent from the hill, so x = 0hr means when the balloon is just starting to ascent. At the start of the ascent, the balloon has an altitude of 80feet. The initial height of the balloon is 80feet.

The y-intercept is y = 80feet.

The initial height of the balloon is 80feet.

Calculation of the y-intercept and initial height:

Since the equation is [tex]h(x)=-16x^2+64x+80[/tex]

So here x = 0

So

[tex]h(x)=-16(0)^2+64(0)+80[/tex]

= 80

Here, The y-intercept is y = 80feet

Also,

x means the number of hours after starting its ascent from the hill

learn more about intercept here: https://brainly.com/question/15546484

Help pls number 1.......

Answers

Answer:

the answer is 0.3

Step-by-step explanation:

this is because 7 2/5 is equal to 2.8 then if you add all of the number together you will get 24.7 meaning that if you add 0.3 to that you will have your answer of 25

Somebody please help me :(

Answers

correct answer is A

Identify all the prime numbers within each range of numbers given below (inclusive): a. 4 to 11 and b.) 16 to 25

Answers

Answer:

A. 5, 7, 11; B: 17, 19, 23

Step-by-step explanation:

These are all the numbers that don't have common factors besides one and itself

5 star, thank, and brainliest if helpful!

Find the component form and the magnitude of the vector v. Exact number, no deciment
Please help I try 7 times but it still wrong

Answers

Answer:

[tex]\sqrt{13}[/tex] = 3.6

Step-by-step explanation:

to find the magnitude of a vector the equation is

|v| = [tex]\sqrt{x component ^{2} + y component^{2} }[/tex]

v = [tex]\sqrt{9+4}[/tex] = [tex]\sqrt{13}[/tex]

Answer:

Step-by-step explanation:

Component form : (3 , -2)

Magnitude = [tex]\sqrt{3^{2}+ (-2)^{2}} \\[/tex]

                  [tex]= \sqrt{9+4}\\\\= \sqrt{13}[/tex]

Pls help me this is so hard

Answers

Answer:

She is not breaking even. The discounted price is .84t, which is less than t.

Step-by-step explanation:

Retail price= 1.4

1.4×.4= .56

40% of 1.4 is .56

Subtract 40% of 1.4 from the retail price because she is marking down.

(1.4)-(.56)=.84

So the discounted price is .84t

This problem is difficult because we don't know if she sold any tea by the retail price and if she did how much did she sell.

Maria threw a party for the promotion she received. The party costs $20 for two people. If she invited 17 guests, what would the cost be?

Answers

Answer:

$170

Step-by-step explanation:

$20 / 2 people = $10 / person

17 people ($10 / person) = $170

In the number 99, how many times larger is the value of the digit in the tens place than the value of the digit in the ones place?

Answers

Answer:

zero times

Step-by-step explanation:

9-9=0

What is the gradient of a line perpendicular to a line with a gradient of -6

Answers

Answer:

undefined -6 = 6

Step-by-step explanation:

im guessing but thinking

Classify the triangle as scalene, isosceles, or
equilateral. Show your work. D(8,-6), E(-1, -3), F(-2, 5)?

Answers

Answer:

Step-by-step explanation:

I love you

Answer:

Step-by-step explanation:

first

secnf

What is the expression of 82 and 95

Answers

Answer: 88.5

Step-by-step explanation:

Step 1: Address the formula, input parameters & values.

Input parameters & values:

The given numbers are 82 & 95

Step 2: Find the sum of the given two numbers.

sum = 82 + 95 = 177

Step 3: Divide the sum by 2 to get the average.

average = 177/2

= 88.5

A circular "No Parking" road sign has a diameter of 26 inches. Which measurement is closest to the area of the sign in square inches? 81.64 in.² 163.28 in.² 530.66 in.² 2,122.64 in.²

Answers

Answer: 81.64

Step-by-step explanation:i took the test

The area of the circle is 530.66 square inches.

What are the properties of the circle?

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

Given, A circular "No Parking" road sign has a diameter of 26 inches.

From the general formula of the area of the circle:

Area = π r²

Where r = radius

in our case,

r = diameter/2

r = 26/2

r = 13 inches

Thus,

the area of the circle = pi * 13 * 13

the area of the circle = 530.93 inches²

Therefore, The area of the circle is 530.66 square inches.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ3

Rhonda is drawing a 3-inch square inside an isosceles triangle with two side lengths measuring 7 inches and 14 inches. Which of the following is the length of the third side of the triangle?
A) 7 in.
B) 9 in.
C) 12 in.
D) 14 in.​

Answers

Answer:

7

Step-by-step explanation:

I just need to type more or my answer gets auto delete but yeah it is 7

Which tool is most appropriate for use in a simulation that fits the data? a coin with one side representing a win and the other representing a loss a 6-section spinner with congruent sections, 4 representing a win and 2 representing a loss a 5 section spinner with congruent sections 3l representing a win and 2 representing a loss an 8-sided die with 5 sides representing a win and 8 sides representing a loss​

Answers

Answer:

im pretty sure it's C

Step-by-step explanation:

Answer:

Which tool is most appropriate for use in a simulation that fits the data? a coin with one side representing a win and the other representing a loss a 6-section spinner with congruent sections, 4 representing a win and 2 representing a loss a 5 section spinner with congruent sections 3l representing a win and 2 representing a loss an 8-sided die with 5 sides representing a win and 8 sides representing a loss​

Step-by-step explanation:

Can someone help need it in less then 30 minutes

Answers

Answer:

$48.22

Step-by-step explanation:

I'm pretty sure you just multiply the 1627.4 by 3%

1627.40*.03=48.822 = $48.22

The number of dogs compared to the number of cats owned by the residents of an apartment complex is represented by the model below.

1 cat and 6 dogs

the ratios is dogs to cats.

Answers

Answer:

I believe your asking for the ratio of dogs to cats. Your ratio would be 6:1 and your ratio for cats to dogs is 1:6 Hope it helps.

hellllllllllllllllllllllllllllllllllllllp mee please

Answers

Answer:

5 1/4 and 5 1/3 (you need to find a common denominator, which is 12)

5 3/12 and 5 4/12 (whatever you multiply the denominator by to get it to 12, you multiply the numerator by as well)

Ryan is 1/12 of a foot shorter than John

your answer is C

Step-by-step explanation:

I hope this helped :)

Step-by-step explanation:

[tex]\huge\bold\purple{ option\:C \: is\:right\:answer }[/tex]

Which of the following is a way you can express a function?
A
a table

B
a graph

C
a set of ordered pairs

D
all of the above

Answers

Answer:

D

Step-by-step explanation:

you can express them in all the above form

A 8 − 4π
B. 8 - 8π
C. 4π − 8
D 8π − 8
E 16π - 8


Please tell me how to do this

Answers

Answer:

4.56637

17.13274

4.56637

17.13274

42.26548

Step-by-step explanation:

math

Without graphing, tell if this pair is on the graph
5x-3y=14, (-1,-6)

Answers

I don’t think you have it for me I just did

Evaluate -7 1/3 - (-2/5)=​

Answers

Answer:

-7 1/3 - (-2/5)

Step-by-step explanation:

-22/3 + 2/5

(-110+6)/15

-104/15

-6. 933

ans is -6. 933

Answer: -104/5

Step-by-step explanation:

-22/3 + 2/5 = -104/15

find (56)+(-17)+(-43)+(+15)​

Answers

Answer:

56-17-43+15

11. ........

Answer: 11

Step-by-step explanation:

We need to start by evaluating the problem, we can simplify this equation so its easier to solve.

So the new equation will be [tex]56-17-43+15[/tex].

56 - 17 = 39

39 - 43 = -4

-4 + 15 = 11.

So [tex]56-17-43+15 = 11[/tex].

11 is the answer.

Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , the angle of elevation of the top of the second is found to be 60°. What is the height of the second building ?

So easy question
Can u people solve ?
I dont think so​

Answers

Answer:

[tex]\displaystyle 10 + 12\sqrt{3}[/tex] metres

Step-by-step explanation:

You are finding the height of the building with an angle of elevation, therefore we need to solve for EC to add it to BA [10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

[tex]\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ[/tex]

We can now solve for EC:

[tex]\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC[/tex]

OR

[tex]\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC[/tex]

Now that you have solved for EC, you can now add it to your original 10 metres to get [tex]\displaystyle 10 + 12\sqrt{3}[/tex] metres. As a decimal, you would get [tex]\displaystyle 30,78460969...[/tex] metres. You can go ahead and round this off if necessary.

** The reason why the cotangent [or tangent] ratio was used was because EA is equivalent to DB by the definition of a rectangle. It has two pairs of parallel and congruent sides with four right angles. Plus, that is the adjacent side of the triangle, while EC is the opposite side of the triangle, so we knew our ratios were correct.

I am joyous to assist you at any time.

Bob is conducting a study to determine what percentage of women over age 25 have children. He surveys 100 women and analyzes the results. The 100 women surveyed are the study’s _______________. Group of answer choices

Answers

i’m not sure what the answer choices are, but i think the answer is EXPERIMENTAL GROUP

Write an inequality to describe the region. The solid upper hemisphere of the sphere of radius 5 centered at the origin

Answers

Answer:

[tex]x^2 + y^2 + z^2 \le 25[/tex] for [tex]z \ge 0[/tex]

Step-by-step explanation:

Given

[tex]r = 5[/tex] --- radius

Required

Determine the inequality of the region

The inequality of a region of a sphere is determined using:

[tex]x^2 + y^2 + z^2 \le r^2[/tex]

Substitute 5 for r

[tex]x^2 + y^2 + z^2 \le 5^2[/tex]

[tex]x^2 + y^2 + z^2 \le 25[/tex]

Solving further: The question says only the upper hemisphere is considered.

This implies that:

[tex]z \ge 0[/tex]

So, the equation is:

[tex]x^2 + y^2 + z^2 \le 25[/tex]

[tex]z \ge 0[/tex]

What are the convection currents in Earth's mantle believed to be responsible for?

ocean currents

climatic changes

uneven surface heating

tectonic plate movements

Answers

Answer:

tectonic plate movements

Step-by-step explanation:

Question 5
A
B
C
D
PLEASE HELP!!!!!!

Answers

Answer:

a)x=-2.5 or x=1

Step-by-step explanation:

it's the answer

hope It helps

Solve the equation x-4/2=10

Answers

x-4/2 = 10

x+-2=10

x-2=10

x-2+2=10+2

x=12

Answer:

x=12

Step-by-step explanation:

x-4/2=10

x-2=10

+2. +2

x=12

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50 boys and 50 girls with ADD (Attention Deficit Disorder) were selected for anexperiment to test a new drug for the treatment of ADD. Half of the boys and half ofthe girls were selected at random to receive the new drug, and the other half of eachgroup received a placebo. A reduction in symptoms of ADD was measured for eachsubject. The basic design of this experiment is: Please help with this math problem Ill mark you brainiest Which statement about allusion is true?a)Authors seldom use allusion when writing books.B)Authors use allusion for only one reason: to portray their own values.C)Allusion is an indirect reference to someone or something from literature or history.D)Allusion is primarily used to force readers to use the encyclopedia. please help me with this its 6th grade word and is due today Circle the fraction equal to 0.1% In a group of 60 children, 28 are enrolled in a summer swimming program, 20 signed up for soccer and 6 are in both. If a child is selected from those enrolled in swimming, what is the probability that the child is signed up for soccer?plss HELPP!!! If a graph fails the vertical line test, what does that mean?The graph is not a domain.The graph is not an order pair.The graph is not a relation.O The graph is not a function. Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integer x and for every integer y, if x is odd and y is odd then x y is even. (c) For every integer x, if x is odd then x 3 is odd. Jordan is running sprints across a football field. He runs 30 yards in 6 seconds. At whatrate is Jordan running in yards per second? 6 CO2 + 6 H2O 6 O2 + C6H12O6 what is the value of u You are shopping for school supplies. There is a sign at the front of the store advertising that you can either buy 4 binders and 4 notebooks for $17.00, or you can buy 2 binders and 6 notebooks for $15.50. Assume that the prices of binders and notebooks are constant. You have $30 total. I. 6 binders and 8 notebooks II. 8 binders and 6 notebooks III. 12 bindersWhich of the following combinations can you afford?A. I only B. I and II C. I and III B. II and III No this is not it ugh IF U HELP U GET BRAINLISTED the difference of a number and six is the same as five times the sum of a number and 2 what is the number Factor 24j-1624j1624, j, minus, 16 to identify the equivalent expressions.Choose 2 answers:Choose 2 answers:(Choice A)A8(3j-2)8(3j2)8, left parenthesis, 3, j, minus, 2, right parenthesis(Choice B)B6(4j-2j)6(4j2j)6, left parenthesis, 4, j, minus, 2, j, right parenthesis(Choice C, Checked)C4(6j-4)4(6j4)4, left parenthesis, 6, j, minus, 4, right parenthesis(Choice D)D2(12-8)2(128) in what way mixed farming is different from mixed cropping? please help me finish this problem of pythagorean theorem model. Write 119,000,003 in two other forms can someone please tell me what 76% of 180 is i thought i for sure got it right but i didnt , HELP!!! Gabby has 20 coins in her pocket that are quarters, dimes, and nickels. The total value of the coins is $2.70. The number of nickels that she has is equal to the number of quarters plus the number of dimes. Choose the system of equations that can be solved to find the number of quarters, 9, dimes, d, and nickels, n, that Gabby has.