What is the arc measure of AC on circle P in degrees?

What Is The Arc Measure Of AC On Circle P In Degrees?

Answers

Answer 1

Given:

∠APE and ∠EPD are congruent.

To find:

The measure of arc AC.

Solution:

Complete angle of a circle = 360°

m∠APE + m∠EPD + m∠DPC + m∠CPB + m∠BPA = 360°

m∠APE + m∠APE + 42° + 74° + 136° = 360°

2 m∠APE + 252° = 360°

Subtract 252° from both sides.

2 m∠APE + 252° - 252° = 360° - 252°

2 m∠APE = 108°

Divide by 2 on both sides.

m∠APE = 54°

Given ∠APE and ∠EPD are congruent.

m∠EPD = 54°

m∠APC = 54° + 54° + 42°

             = 150°

The measure of central angle is congruent to the measure of the intercepted arc.

m(ar AC) = m∠APC

m(ar AC) = 150°

The arc measure of AC on circle P is 150°.


Related Questions

A pyramid-shaped roof has a slant height of 16 ft and its square base is 40 ft wide. How much roofing material is needed to
cover the roof?

Answers

Answer:

1280ft²

Step-by-step explanation:

To find the total surface area of a square pyramid, we find the area of the square base and add it to the area of the four triangular faces.

The area of the square base is

[tex] {40}^{2} = 1600 {ft}^{2} [/tex]

The area of the four triangular faces is

[tex] = 4 \times \frac{1}{2} \times 40 \times 16 = 1280 {ft}^{2} [/tex]

In the context of this problem , the base will not be roofed, therefore the 1280 ft² of material is needed to cover the roof

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?

Answers

Answer:

3/9

Step-by-step explanation:

How many solutions does the equation 5x=2 have

Answers

Answer:

one solution

Step-by-step explanation:

5x=2

Divide each side by 5

5x/5 = 2/5

x = 2/5

There is one solution

Can anyone answer this like really quickly I’m being timed

Answers

Answer:

48%

Step-by-step explanation:

12     =      48

25           100

Answer:

Step-by-step explanation:

i dont know the answer but how to solve is by adding up all the numbers and dividing by 12


Factor this expression completely.

39x − 52y + 13

Answers

Answer:

13(3x-4y+1)

Step-by-step explanation:

Rewrite 52 as (4)(13)

Rewrite 39 as (3)(13)

[tex]=(3*13)x+(4*13)y+13[/tex]

Then factor out the common term 13

[tex]13(3x-4y+1)[/tex]

That is your answer!

Have a nice day. Please vote brainliest!

Answer:

13(3x-4y+1)

Step-by-step explanation:

Is the answer -165° -125° 125° or 165° pleas help quickly

Answers

Answer:

125

Step-by-step explanation:

mark me brainliest pls? brainliest for brainliest

Answer:

165 I just did it

Step-by-step explanation:

Started at 15 degrees and dropped 1/2 degrees each minute

Answers

Answer:

7.5 should be the answer sorry if its wrong i don't have all of the information

2/3 of the students in the cafeteria are in sixth grade how many students are in the cafeteria if 42 of them are sixth graders

Answers

Answer:

28

Step-by-step explanation:

2/3 times 42

answer: 28
step by step explanation: 2/3 times 42 is 28

James cut out four parallelograms, the dimensions of which are shown below. Parallelogram 1 length: 12 in. width: 15 in. diagonal: 20 in. Parallelogram 2 length: 16 in. width: 30 in. diagonal: 34 in. Parallelogram 3 length: 20 in. width: 21 in. diagonal: 29 in. Parallelogram 4 length: 18 in. width: 20 in. diagonal: 26 in. James put the parallelograms together so one vertex from each paper exists on a point, as shown in the circle. 4 parallelograms are put together so that one vertex from each paper exists on a point. Which statement explains whether or not the parallelgrams can be put together so each occupies one-quarter of the area of the circle without overlapping any other pieces? Check all that apply. The quadrilaterals can be placed such that each occupies one-quarter of the circle. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 2 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 3 do not form right angles. The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

Answers

Answer:

the answer is b and e

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 1 do not form right angles.

The quadrilaterals cannot be placed such that each occupies one-quarter of the circle because the vertices of parallelogram 4 do not form right angles.

The shape on the left is transformed to the shape on the right. Which of the following statements describes the transformation?

A. MNOP → M'N'O'P'
B. M'N'O'P' → MNOP
C. P'O'M'N' → MOPN
D. MNOP → O'P'M'N'​

Answers

I would say it is probably A- MNOP-M’N’O’P. Please make brainliest awnser :)

The shown transformation is described by the statement:

MNOP → M'N'O'P'

So the correct option is A.

How to define a transformation?

Here we have a transformation that enlarges and rotates our original rectangle, with vertices M, N, O, and P.

Transformations do not act only on figures, they act on every point on the plane, so we could apply the same transformation to each one of the vertices, in such a way, we will get:

M → M'N → N'O → O'P → P'.

Writing all of these together, we just get:

MNOP → M'N'O'P'

So the correct option is A.

If you want to learn more about transformations, you can read:

https://brainly.com/question/4289712

Can somebody help me

Answers

Answer:

B

Step-by-step explanation:

Which dimensions will create an unlimited number of triangles?
angle 55°
angle 50°
angle 60°
angle 45°
angle 45°
angle 90°
side length of 6
side length of 8
side length of 10
side length of 5 in.
side length of 10 in.
side length of 12 in.

Answers

Answer:

B

Step-by-step explanation:

the answer to this question is

angle 45

angle 45

angle 90

What is the distance between (-6,4) and (-8, 6)?

Answers

Answer:

[tex]\sqrt{8}=2\sqrt{2}[/tex]

Step-by-step explanation:

by using well known formula, distance on XOY plane

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\=\sqrt{(-8-(-6))^2+(6-4)^2}

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

The distance between the points (-6,4) and (-8, 6) can be found using the distance formula derived from the Pythagorean Theorem. After substituting and simplifying, we find the distance to be sqrt[8] or about 2.83 when rounded to two decimal places.

To find the distance between two points, we use the distance formula derived from the Pythagorean Theorem: d = sqrt[(x2 - x1)² + (y2 - y1)²].

Here, we are trying to find the distance between points (-6,4) and (-8, 6). We assign (-6,4) to (x1, y1) and (-8,6) to (x2, y2).

So, substituting into our formula we get: d = sqrt[(-8 - (-6))² + (6 - 4)²] = sqrt[(2)^2 + (2)^2] = sqrt[4 + 4] = sqrt[8] or about 2.83 when rounded to two decimal places.

Learn more about Distance Between Two Points here:

https://brainly.com/question/34212393

#SPJ2

Find the area of the circle below

Answers

You can find the area of a circle by using this formula:

[tex]y = \pi r^2[/tex]

Knowing that a circle's diameter is double its radius, we know that the radius of this circle is 12.5 yards. Substitute this for r in the equation to find the area:

[tex]y = \pi *12.5^2\\y=156.25*\pi \\y=490.87[/tex]

Answer:

The area of the circle is 490.8738521 yards or if your rounding 490.87 yards.

Step-by-step explanation:

Area of circle = πr²

r = half of diameter

r = 25 ÷ 2

r = 12.5

A = π(12.5)²

A = π(156.25)

A = 490.8738521

A ≈ 490.87 yards

Hope I helped ya.

< Sarah >

Jonas and Marisol were the only candidates for sixth-grade class president. Jonas received 35 votes and Marisol received 75 votes.

Of the 75 votes cast for Marisol, 40% were girls. How many girls voted for Marisol?
****BRANLIEST OF 2

Answers

Answer:

30girls

Step-by-step explanation:

If out the 75 votes cast for Marisol, 40% were girls, the number of girls that votes for Marisol can be gotten by taking 40% of the total number of votes casted for Marisol as shown:

Number of girls = 40/100 × 75

Number of girls = 300/10

Number of girls that voted for Marisol = 30girls

Answer:

30 girls

Step-by-step explanation:

I just took the quiz and got thirty girls right. May I please have Brainliest?

What is the volume of the figure

Answers

Answer:

96 cubic cm.

Step-by-step explanation:

Area= Length*Width*Height

Area= 6*4*4

Area= 96

Answer:

D

Step-by-step explanation:

Because Volume = length x width x height

4 x 4 x 6=

16 x 6

96

Recess began at 11:12am. It ended at 11:44am. How long was recess?

Answers

Answer:

32 minutes

Step-by-step explanation:

44-12=32

Answer:

32 minutes

Step-by-step explanation:

Both times were at 11 am and some minutes. The difference is only in the minutes.

44 - 12 = 32

Answer: Recess was 32 minutes long.

Barry answered 32 out of 40 questions correctly on his math test. what percent of the questions did he get correct

Answers

Answer:it would be 80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Divide 32/40  

you get .80

multiply .80 by 100

Determine the following for the transformed cosine function shown whose period is 1,080 degrees.

Frequency:

b in the equation:

Answers

Answer:

Frequency: 1/1080

b in the equation: 1/3

Step-by-step explanation:

The frequency is 1/1080 and the value of b is 1/3

How to determine the values of frequency and b?

The period is given as;

T = 1080

The frequency is calculated using:

f = 1/T

So, we have:

f = 1/1080

The value of b is calculated using:

2π/b = T

This gives

2π/b = 1080

Make b the subject

b = 2π/1080

Express 2π as degrees

b = 360/1080

Divide

b = 1/3

Hence, the frequency is 1/1080 and the value of b is 1/3

Read more about cosine functions at:

https://brainly.com/question/17075439

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Answers

They used more cleaner in 2012 because the green line is higher in the year 2012 than it is in 2015.

Answer:

2012

Step-by-step explanation:

Based on the graph, you can tell that private residence needed 6000 liters of cleaner in 2012 and only 2000 in 2016

Solve 5x=125.
X=25
x=3

Answers

Answer: X = 25

Step-by-step explanation: 5 * 25 = 125

Estimate the perimeter of the figure to the nearest whole number.

Answers

Answer:

See Explanation Below

Step-by-step explanation:

The question is incomplete (because the figure to calculate the perimeter is missing).

However from the comment attached to your question, I understand that the figure looks like a plus sign.

The perimeter of a plane shape is calculated by adding the length of each side of the shape.

Take for instance;

A square of length 5cm.

We know that a square has 4 equal sides; meaning that the length of the other sides are also 5cm

So, the perimeter of the square will be calculated as 5cm + 5cm + 5cm + 5cm = 20cm

Similarly, the perimeter of a triangle whose sides are 4ft, 3ft and 5ft will be calculated by adding up the length of the three sides.

Perimeter of the triangle = 4ft + 3ft + 5ft

Perimeter = 12ft.

Having explained how the perimeter of a plane shape is calculated; take for example, the attachment below.

(The sides are measured in centimetres)

The plus sign has 12 sides; Its perimeter is calculated by adding up the length of the 12 sides.

Perimeter = 3 + 7 + 7 + 5 + 5 + 5 + 5 + 2 + 2 + 4 + 4 + 3

Perimeter = 52cm

Answer:

stop tryna cheat and figure it out

Step-by-step explanation:

How many inches if wooden sticks will be required?

Answers

show a picture so we can give u the best estimate
Final answer:

The required amount of wooden sticks would depend on specific measurements for different projects, such as making a Biltmore stick for tree height measurement or spacing vertical studs 16 inches apart, which is equal to 40.64 centimeters. Measurements and conversions would be necessary to determine the exact amount of material needed.

Explanation:

The amount of wooden sticks required would depend on the specific project being undertaken. The details provided mention various projects, including constructing a Biltmore stick for measuring tree heights, vertical studs spaced 16 inches apart for lumber usage, and spacing between scaffolds that could be anywhere from 3 to 12 inches. For the Biltmore stick, you would need a stick long enough to reach from your eye level to the ground, as well as additional sticks or markers for the grading. For constructing vertical studs spaced 16 inches apart, you would convert that distance into centimeters, where 16 inches is equal to about 40.64 centimeters. Other examples require sticks of varying sizes, from the barrel of a plastic stick pen cut in half, which would be a few inches, to a list of materials needed for a pyramid structure that changes by 12 inches per level.

what is the width of orion’s belt? That is, what is the distance between alnitak and mintaka

Answers

Answer:width-184.08 light year distance between alnitak and mintaka-60 light years

Step-by-step explanation:

What is the mean?
1 4 0 0 1 5 3 2 2

Answers

Answer:

Mean is 2

Step-by-step explanation:

Not yet answered Marked out of 100 Flag question
Find the volume of a rectangular prism 3 inches high, 14 inches wide, and 9
inches long,

Answers

V=378
V=l•w•h
V=9•14•3

if one m&m is randomly selected from a dish containing 7 green, 4 red, 5 blue and 8 yellow m&ms, find the probability that a red is selected

Answers

Answer:

1/6 = 16.67%

Step-by-step explanation:

There are a total of 24 m&ms. The probability of picking an m&m that has a quantity of 4 is 4/24 = 1/6 = 16.67%

The value Of a painting begins at $12,000 and increases by $500 per year write an equation representing the value V of the painting at the end of any given year y.

Answers

The equation is 12000+500y=v.

combining like terms
-7r-9+8+5r
show how you got the answer

Answers

Answer:

-2r - 1

Step-by-step explanation:

The like terms here are  -7r  and 5r,  

The like terms for constants are -9 and 8

so add  -7r + 5r = -2r

and add -9 + 8 = -1

The steps Quentin took to evaluate the expression 3m - 3+3 when m = 8
are shown below.
3m - 3 + 3 when m=8
3 x 8 = 24
24 - 3 =21
21 + 3 = 7
What should Quentin have done differently in order to evaluate the
expression?
divided (24-3) by (24x3)
divided (24-3) by (24-3)
subtracted (3 + 3) from 24
subtracted 3 from (24 +3)

Answers

Final answer:

Quentin had properly substituted m with 8, but he mistakenly added 3 to 21 rather than subtracting. The right final calculation should provide 24, not 7.

Explanation:

In order to correctly evaluate the expression 3m - 3 + 3 when m = 8, Quentin starts off correctly by replacing m with 8, resulting in 24. The mistake happens when Quentin incorrectly adds 3 to 21 instead of subtracting 3 from 21. The correct sequence of steps should be:

3m - 3 + 3 when m=8Replace m with 8. Therefore, 3 * 8 = 24Subtract 3 from 24. Therefore, 24 - 3 = 21Add 3 back to the result of 21 - 3. Therefore, 21 + 3 = 24

Learn more about Math Expression Error Correction here:

https://brainly.com/question/35549248

#SPJ2

Other Questions
The gap between electrodes in a spark plug is 0.060 cm. Producing an electric spark in a gasoline-air mixture requires an electric field of 3.0 106 V/m. What minimum potential difference must be supplied by the ignition circuit to start a car? 1) Describe 3 pieces of evidence that Halley's Comet has for us to identify that it is indeed a comet After ovulation, ___1___ acts on the remaining follicle cells to promote the development of the ___ 2___ , which produces estrogen and large amounts of ____3____ , which then causes the endometirum to become ____4____ in preparation for ____5____ should fertilization of the ovum occur. If the ovum is not fertilized the corpus luteum ____ 6____ resulting in a drop of estrogen and progesterone levels. The endometrium then sloughs off in the ____7____ . The drop in estrogen and progesterone removes the ____ 8_____ and the GnRH is produced by the _____9____ and the cycle beings again. who is being described in the box Match the type of evidence to the example.logical evidencea professional testimonyempirical evidencea comparison or analogyanecdotal evidencestatistics or dataexpert evidencea personal story or historical example A static electric charge can be released as __________. *A.a sparkB.heatC.a continuous currentD.a gas Legal but immoral examples Quadrilateral D U C K is inscribed in circle O what is the measure of angle K? Consider the choices you made. Are you more interested in participating in winter or summer activities while on vacation? In two to four sentences, describe the activities you wish to do while you are on vacation. why would an accused criminal consider a plea bargain Ellie bought 0.7kg of jelly beans from her local food festival for 1.89. She knows that to work out the price of a whole kg she simply needs to divide the price she paid by the quantity she bought.Work out the price of 1kg of jelly beans. Two farmhouses A and B are 10.3 km apart. A third farmhouse C is located suchthat angle A=83 and angle B=59. How far is C from A? In 1964, which of the following space technologies provided scientists with the best evidence that the universe was created in the big bang? What is secondary succession? In a paragraph, describe a day in the life of a Roman soldier. What is the standard form of (x+5)(x+5) Calculate the mass of carbon dioxide produced by the combustion of 571.3 g of octane. Nurses at a local hospital recently conducted a survey of patients about their expectations of nurses. Which of the following was NOT an opinion shared by the majority of responding patients?a. Seventy-three percent thought nurses should keep their hair tied back and off their shoulders.b.Ninety-one percent thought that nurses should not have long fingernails.c. Eighty-eight percent thought nurses should spend less time at the nurse's station.d. Fifty-five percent thought it difficult to distinguish a nurse from other medical staff in the hospital. Which term best describes the type of work done by a postindustrialcommunity?OA. AdministrationOB. Hunting and gatheringOC. AgricultureOD. Industry A charged particle is accelerated from rest through a potential difference of magnitude |V|. After exiting the potential difference at an emission point, the particle enters a region of uniform magnetic field. The magnetic field is perpendicular to the particle's velocity, and the particle travels along a complete circular path. The particle's mass is 2.10 1016 kg, its charge is 26.0 nC, and the magnetic field magnitude is 0.600 T. The particle's circular path, as it returns to the emission point, encloses a magnetic flux of 15.0 Wb.a. What is the speed in (m/s) of the particle when it is in the region of the magnetic field? b. What is the magnitude of the potential difference through which the particle was accelerated?