Find the measure of angle RPF

Find The Measure Of Angle RPF

Answers

Answer 1

Answer: 124°

Step-by-step explanation: Notice that angles CPF and RPB are vertical <'s.

Vertical angles are two angles that share a common

endpoint and whose sides form opposite rays.

Since these angles have the same measure,

we can setup the equation 4t + 88 = 2t + 72.

Now subtract 2t from both sides and we have 2t + 88 = 72.

Now subtract 88 from both sides to get 2t = -16.

Solving from here, we find that t = -8.

Now notice that <FPB is a straight angle which

means that it measures exactly 180 degrees.

So let's substitute a 4 into the measure of angle CPF.

So we have 4(-8) + 88 or -32 + 88 which is 56°.

Since FPC and CPB are a linear pair, we know that are supplementary.

If two angles are supplementary, then the sum of their measures is 180 degrees which means we take 180 minus the measure of <CPF.

So we have 180 - 56 which is 124°.

Now since <CPB and <FPR are vertical angles

So<FPR must also measure 124°


Related Questions

2. Mr. Winter is putting away
48 chairs. He can put away
the chairs in stacks of 10 or
as single chairs. What are all
of the ways Mr. Winter can put
away the chairs?
Wh

Answers

he can make 4 stacks, leaving 8 chairs as single chairs

Can someone please help me

Answers

Problem 1

Answer:  Choice B) x = -2

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

Explanation:

Add the equations straight down.

The x terms add to 5x+(-3x) = 2x

The y terms cancel out since 3y+(-3y) = 0y = 0

The right hand sides add to -7+3 = -3

After adding the equations you should get 2x = -4 which solves to x = -2

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

Problem 2

Answer:  y = 4

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

Explanation:

Since 5x = 0, this means x = 0 after dividing both sides by 5.

Use this to find y

y = -4x+4

y = -4(0)+4

y = 4

If you want the value of z, then

x = -3y+z+6

0 = -3(4)+z+6

0 = z-6

6 = z

z = 6

Please help me this is a big grade for me and I’m very confused on this whole page

Answers

Answer: 5) 2, -8, 32, _,_

I believe that it would be -64, then 128

Step-by-step explanation:

Bc its positive then negative and its being multiplied by -4 each time so when you mutiply a negative to a negative its a positive which is were the positives and negatives come from. :)

The sum of three consecutive integers is 42. Determine the value of the smallest
integer.

Answers

Answer:

13.

Step-by-step explanation:

[tex]42 = a + (a+1) + (a+2) = 3a + 3 = 3(a+1)[/tex]

Then, [tex]a+1 = 14[/tex], so [tex]a=13.[/tex]

which of the following describes controlled variables
A what you change for testing
B what you keep the same
C what you measure

Answers

Answer:

b, controlled variables are constant and unchanged

Answer: B) What you keep the same

A controlled variable is what is held constant. When doing an experiment, it is ideal to only focus on one variable at a time while keeping everything else in check. This way you can compare two items effectively.

In contrast, a manipulated variable is one that is intentionally changed to see how it affects the subject. For example, if you're testing various fertilizers, then the fertilizer brand would be the manipulated variable. The soil, moisture, amount of sunlight, and other environmental factors are kept the same (each subject gets the same about of each) making them to be controlled variables.

someone please help me with this !! Put it in order !! will mark as brainlest!!

Answers

Answer:

i dont no hindi ko alam eh

Step-by-step explanation:

-Given

-4

-Divison Property Of Equality

-3

Bella is in school at math class. Her teacher, Mrs. Williams asks her "What's 9-3 divided by 1/3 + 1 equal to?" help Bella answer the question without using a calculator.

Answers

Que paso que soaso por que yo no le tiendo que paso que paiooo por qhejbocjnsuwojrfnoedorjdowxxexisxecejxiwxbfuwbduwbxuwjuxbwxuwbdiwbxiwnixwnfinfiwndinwdinwidnwixjwixjiwnxiwnfiixwnxiwnxiw
As I believe this is an exponent the answer is 729\ 1/3 +1 sorry if this isn’t far enough

4 1/3 x 3/5 express your awnser in simplest form.

Answers

Answer:

2 3/5

Step-by-step explanation:

Helpppppppp againnnnnn

Answers

Answer:

100.40

Step-by-step explanation:

if 6 members has paid, then the remaining 8 will be 8 x 12.55 = 100.4

Answer:

The answer is $100.40

Step-by-step explanation:

ok. their are 14 members. 6 members payed their dues in week 1. so, subtract 6 from 14.    14 - 6 = 8.    Now, the due is $12.55. 8 members payed their dues in week 2, so multiply 8 by 12.55.     8 x 12.55 = 100.50    the answer SHOULD be $100.50 i would think, but there is not an option for that. so, i would pick option 4, because that is .10 off from 100.50. Good luck!!

Find the area of the figure. (Sides meet at right angles.)
9 in
in
5 in
B in
4 in

Answers

Answer:

48 in²

Step-by-step explanation:

A1 = 9 x 4 = 36

A1 = 4 x 3 = 12

Total = 36 + 12

        = 48 in²

How do you do this question?

Answers

4 Answers: A, B, C, D

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

Explanation:

f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.

f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.

f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.

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

The conditions to use the integral test have been met. So we have to see if [tex]\displaystyle \int_1^{\infty}f(x)dx[/tex] converges or not.

Let's integrate and find out

[tex]\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\[/tex]

So we have

[tex]\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\[/tex]

Meaning that,

[tex]\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\[/tex]

If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression [tex]-\frac{1}{5b^5}+\frac{1}{5a^5}[/tex] will turn into [tex]\frac{1}{5}[/tex]

Therefore,

[tex]\displaystyle \int_{1}^{\infty} \frac{1}{x^6} dx = \frac{1}{5}\\\\\\[/tex]

Because this integral converges, this means the series [tex]\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^6}[/tex] also converges as well by the integral test.

What is the prime number?​

Answers

Answer:

In math, prime numbers are whole numbers greater than 1, which have only two factors – 1 and the number itself. Prime numbers are divisible only by the number 1 or itself. For example, 2, 3, 5, 7, and 11 are the first few prime numbers.

Step-by-step explanation:

hope this helps :)

what is three times three

Answers

Answer:

9

Step-by-step explanation:

3x3=9

its nine bruhhhhhhhhhhhhh

3 times 3 = 9

( that was simple lol )

URGENT!!!!!!!!!!! 25

Answers

Answer:

Geometry so easy

Step-by-step explanation:

You can do it..

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.74
before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the
discount, what is the total cost of the meal? Round your intermediate calculations and answer to thenearest cent.

Answers

Answer:

it is 82.53 round to 82.50 ithink

Which equation has no solution

Answers

The answer is C because the variables sum up equally on both sides

Answer:

d

Step-by-step explanation:

How can i use multiplication/division to calculate a percent of a number?

Answers

Answer:

for example you are given a percentage and numbers you cross multiply

Step-by-step explanation:

hope it helps cause I don't know how to explain the answer

what do you mean by '^' next to everything?

Answers

Answer:

power of for example 4 to the power of 2. 2 means square

A mixture requires 4 cups of water for every 7 cups of flour used. How many cups of water should be used with 28 cups of flour

Answers

Answer:

16 cups of water

What is X- y= 3 in a graph

Answers

Answer:

You must first put the equation into slope-intercept form (y = mx + b). To do this, subtract x from both sides to isolate y. Then, since y will be negative, divide each side by -1, resulting in y = x - 3. Since a 1 is understood to be in front of the x, the slope is 1

How to graph:

x-0 y- -3 or (0,-3)

x- 3 y-0 or (3,0)

If you graph these points you should get your graph

Determine the range of the function.
y=1/4x^2 - 5



a.All real numbers.

b.All integers less than or equal to -5.

c.All integers greater than or equal to -5.

d.All real numbers greater than or equal to -5.

Answers

Answer:

[tex]Solution: f(x)\ge-5\\Interval:[-5,\infty)[/tex]

Step-by-step explanation:

Equation: [tex]\frac{1}{4} x^2-5 = y[/tex]

1). [tex]\frac{1}{4} x^2-5 = y[/tex] →[tex]\frac{x^2}{4}-5=y[/tex]

2). [tex]\frac{x^2}{4}-5=y[/tex] ∴ [tex]a=\frac{1}{4}, b=0, c=-5[/tex]

3). [tex]x_v=-\frac{b}{2a}[/tex]

         [tex]=-\frac{0}{2(\frac{1}{4})}[/tex]

         [tex]=0[/tex]

4). now plug [tex]x_v[/tex] into [tex]y_v[/tex]

[tex]y_v=\frac{0^2}{4}-5[/tex]

    [tex]=-5[/tex]

5). Minimum (0,-5) ∴ [tex]f(x)\ge-5[/tex]

The width of a rectangle is 5 times the length. If the perimeter is 72, find the dimensions of the rectangle.

Answers

Answer:

l=6

b=30

Step-by-step explanation:

b=5l

perimeter= 72

2(l+b)= 72

l+b= 36

l+5l= 36

6l= 36

l= 6

b=5l= 6*6= 30

Which answer choices fit in the pattern below? Select all that apply.

18, 28, 38, ___, ___, ___
BTW I DONT WANT TO DO THIS SO TY FOR WHOEVER DOES IT

Answers

Answer:

18,28,38,48,58,68

Step-by-step explanation:

You are adding by 10 every time

A factory makes sheets of metal that are 4 5/8 inches thick. If a worker at the factory makes
a stack of 5 of the sheets, how many inches thick will the stack be?
Write your answer as a fraction or as a whole or mixed number.

Answers

23 1/8

5 (4 + 5/8)
20 +3 1/8
23 1/8

If the expression 4x+3 is equal to 1 to the same value of x, what is the expression 4x+8 equal to for the same value of x?

Answers

Answer:

6

Step-by-step explanation:

4x + 3 = 1

4x =-2

x = -1/2 so 4x +8 =4(-1/2) +8=6

A class of 28 students has four more than two times as many
boys as girls. How many of the students are girls?

Answers

Answer:

there are 8 girl students

Step-by-step explanation:

28-4= 24

28 divided by 3 is 8

8x2=16

16+4=20

20+8= 28

therefore... there are 8 girls in the class

Solve 4,000 ÷ 80 = what

Answers

Answer:

50

Step-by-step explanation:

i asked alexa so yeaaa

4. The cost of a long-distance telephone call is $.50 for making the call and $.10 per minute. What is the slope? What does it represent?

Answers

$$$$$$$$$$$$$$$$$$$$$$$$$$

This situation can be represented by y=.10x+.50
Therefore the slope is .10
This means that for every minute, the caller is charge .10, and the base rate of .50

the question is in the picture can someone PLSSS answer!!!
i will mark brainliest!!

Answers

Answer:

the third one im pretty sure

Step-by-step explanation:

3. Select two numbers that have 4 as their greatest
common factor. Mark all that apply.
12
Part
A 2,4
B
4,8
C
8. 12
D 8. 16
E
12. 24
I’m

Answers

Answer:

B and C

Step-by-step explanation:

All others have higher factors than 4

Answer:

B,(4,8) &C,(8,12)

Step-by-step explanation:

A,(2,4)=2=2

4=2^2(GCF of 2&4 is 2)

B,(4,8)=4=2^2

8=2^3(GCF of 4&8 is 4)

C,(8,12)=8=2^3

12=2^2*3(GCF of 8&12 is 4)

D,(8,16)=8=2^3

16=2^4(GCF of 8&16 is 8)

E,(12,24)=12=2^2*3

24=2^3*3(GCF of 12&24 is 12).

i hope it helps you

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