Given: Measure of arc AB = measure of arc BC,
Measure of angle x = 60°, measure of angle y = 15°
Find: Measure of arc AC

Given: Measure Of Arc AB = Measure Of Arc BC,Measure Of Angle X = 60, Measure Of Angle Y = 15Find: Measure

Answers

Answer 1

9514 1404 393

Answer:

  100°

Step-by-step explanation:

The relevant relation for angle x is ...

  x = (AB +DE)/2

and for angle y, it is ...

  y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

  DE = AC -2y

In the first equation, this lets us write ...

  x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

  2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

  (2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

  AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

  AC = 100°


Related Questions

HELPME IM IN MATH AND NEED HELPP

Answers

Answer:

9

Step-by-step explanation:

ершрфшгцр
мкфуерцнокеупауйвЫЫМ ВНОРЕФУфцвыА ЕЬГАЕ7ГАТАСО ПНМСВЧСЧМ

Answers

Answer:

Step-by-step explanation:

I dont know

Which of the following fractions can be represented by a terminating decimal?
OA) 8/9
OB)13/8
OC)4/3
OD)6/11

Answers

Answer:

B) 13/8

Step-by-step explanation:

First we need to understand what a terminating decimal is: It is a decimal that has a finite number of decimal values that are not zero, meaning that its decimal values end at some point

Let's go through our possible answers with trial and error:

A) 8/9

8/9 = 0.888888888888...9 (Incorrect)

B) 13/8

13/8 = 1.625 (Correct)

C) 4/3

4/3 = 1.3333333333...4 (Incorrect)

D) 6/11

6/11 = 0.545454545454...54 (Incorrect

13/8 is our answer because in decimal form it is a terminating decimal.

Can someone help I will mark u brilliant

Answers

Answer:

A probability cannot be more than 100%

Which table of values represents possible solutions to
the equation y = 0.7x - 4.3?
х
49
у
30
X y
49 40
19 19
-11-12
-31-16
19 19
-11-12
-31 -26
B
Х
у
30
49
19 9
-11-12
-31 -26
Х
у
49 40
19 19
-11 -2.
-31 -16
D

Answers

Step-by-step explanation:

it will be c as shown in the photo

Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each angle relationship with the appropriate reason. Vertical angles theorem Alternate exterior angles theorem linear pair Alternate interior angles theorem Corresponding angles theorem same-side interior angles m_HED = m_FE) mKFE = m_FEJ MZLFG = MADEH​

Answers

The angle relationship and their reasons are:

m∠HED = m∠FEJ ---> Vertical angles theoremm∠KFE = m∠DEH ---> Alternate interior angles theoremm∠LFG = m∠DEH ---> Alternate exterior angles theoremm∠JEF + m∠LFE = 180° ---> same-side interior angles theoremm∠DEJ = m∠EFL ---> Corresponding interior angles theoremm∠LFG + m∠GFK = 180 ---> linear pair

The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:

∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are  equal based on the vertical angles theorem.

m∠HED = m∠FEJ ---> Vertical angles theorem

∠KFE and ∠FEJ are alternate interior angles, therefore, they are  equal based on the alternate interior angles theorem.

m∠KFE = m∠DEH ---> Alternate interior angles theorem

∠LFG and ∠FEJ are alternate exterior angles, therefore, they are  equal based on the alternate exterior angles theorem.

m∠LFG = m∠DEH ---> Alternate exterior angles theorem

∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.

m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem

∠DEJ and ∠EFL are corresponding angles, therefore, they are  equal based on the corresponding angles theorem.

m∠DEJ = m∠EFL ---> Corresponding interior angles theorem

∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.

m∠LFG + m∠GFK = 180 ---> linear pair

Learn more about angle relationship on:

https://brainly.com/question/12591450

The coordinates of the point that is a reflection of Y(-4,-2) across the x-axis are what. The coordinates of the point that is reflection of y across the y-axis are what?

Answers

Answer:

Step-by-step explanation:

across x axis:(-4,2)

across y-axis:(4,-2)

7 1/2 divided by 2 5/8 in simplest form

Answers

Answer:

[tex]2\frac{6}{7}[/tex]

Step-by-step explanation:

First you have to convert the mixed numbers to an improper fraction which first let's do the top so that would be: [tex]\frac{\frac{15}{2}}{2\frac{5}{8}}[/tex]

Next, lets do the bottom of that so that would become: [tex]\frac{\frac{15}{2}}{\frac{21}{8}}[/tex]

After that you have to apply the fraction rule [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex] so that would be: [tex]\frac{15\cdot \:8}{2\cdot \:21}[/tex]

Towards the end, you have to cancel out that equation so then it becomes: [tex]\frac{20}{7}[/tex]

Finally, you convert the improper fractions to mixed numbers so that is now: [tex]2\frac{6}{7}[/tex]

Have a great day!

After divide, the value in simplest form is, 20/7.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

⇒ 7 1/2 divided by 2 5/8

Now, Divide the numbers as;

⇒ 7 1/2 divided by 2 5/8

⇒ 15/2 ÷ 21/8

⇒ 15/2 × 8 / 21

⇒ 15×8 / 2×21

⇒ 5×4/7

⇒ 20 / 7

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Simplify.

57.8 – 4.07

Answers

Answer:

53.73

Step-by-step explanation:

Helppp meee please !!!

Answers

Answer:

why has the speaker come to the earth

Answer:

the two numbers are 3x and -x.

Step-by-step explanation:

product = -3x²

sum = 2x

hope this helps you.

Slove the followings.


1. Use your calculator to work out the weight of rubbish in each category.
2. A household produces 1.2 t of rubbish in a year. How many adults live in the house?
3. a. How much rubbish would an adult produce in a year if he recycled the glass, paper, and card?
b. What if he also had a compost heap at foot of his garden for vegetable and decomposable material?​

Answers

2. The number of adults who live in the house is 3 (1,200/400).

3.a. If an adult recycled the glass, paper, and card that have 42% of the rubbish, the adult will generate 232 kg (400 kg x (1 - 42%) of rubbish.

b. If the adult, in addition, had a composite for vegetable and decomposable material, he will generate 152 kg (400 kg x (1 - 62%).

Data and Calculations:

1 ton = 1,000 kg

Weight of rubbish produced by an adult per year = 400 kg

Total kg of rubbish produced by the family = 1,200 kg (1,000 x 1.2)

Percentage of Vegetable and decomposable material = 20%

Percentage of glass, paper, and card = 42% (33% + 9%)

Learn more: https://brainly.com/question/14954924


A triangular prism and a triangular pyramid have congruent bases and heights. What is the ratio of
the volume of the prism to the volume of the pyramid? Show your work.

Answers

Answer:

if a pyramid and a prism have the base and height also their volumes are always in the ratio 1:3

step by step

as the volumes of prism is 108 cubic meters

1/3 x 108 = 36 cubic meters

Find the value of x

Answers

Answer:

6.93

Step-by-step explanation:

hope this helps

Write the equation for the axis of symmetry for the
follow absolute value graph:

Answers

Answer:

The equation for the axis of symmetry is x=3

Step-by-step explanation:

Because the vertex is (-2,3) then the axis of symmetry must pass that point.

how many degrees is 37 degrees warmer than -13

how many is 38 degrees warmer than -20

Answers

Answer:

98.6° Fahrenheit ( i did it in celsius sorry if i got it wrong)

Step-by-step explanation:

When z=−6, evaluate −2(z+9)−(−5) and −2⋅z−2⋅9+5 to show that −2(z+9)−(−5)=−2⋅z−2⋅9+5

Answers

Ignore this, I posted the wrong answer and I don't know how to delete it.

Answer:

Yes/true

Step-by-step explanation:

-2(z+9)-(-5)=-2⋅z-2⋅9+5

sostituisco la lettera dandogli un valore

=-2(-6+9)-(-5)=-2⋅(-6)-2⋅9+5

calcolo e tolgo le parentesi

=-2⋅3+5=12-18+5

Elimino i termini uguali

=-2⋅3=12-18

Somma e moltiplicazione tra i numeri

=-6=-6

Suppose that the probability that an item produced by a certain machine will be defective is 0.1. Find the probability that a sample of 20 items will contain at most 2 defective items.

Answers

Answer:

no it is really easy question to answered so do it your self

Simplify |x| - |-x|.

Answers

Answer:

0

Step-by-step explanation:

Two cases: if [tex]x\ge0[/tex]

[tex]|x| - |-x| = x - x= 0[/tex]

Instead if [tex]x<0[/tex]

[tex]|x| -|-x| = -x -(-x)=-x+x=0[/tex]

Alternatively you can try to graph both [tex]f(x) = |x|; g(x)=|-x|[/tex] and checking the vertical distance between the two graphs

find the answer given below​

Answers

Answer:

Surface area = 6l^2

Volume = l^3

If total surface area increased by 2, then the length increased by [tex]\sqrt{2}[/tex]

Volume then is increased by ([tex]\sqrt{2}[/tex]l)^3 = 2[tex]\sqrt{2}[/tex]l^3

1 :2 [tex]\sqrt{2}[/tex]

Which is not an option in the question so this question clearly has a problem.

First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.

Second of all, if the answer is 8:1 the question should be "If each sides of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.

Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled by doubling the height and without changing the length and width"  But, then the the shape would no longer be a cube.

Who even wrote this garbage question what.

A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at α = 0.5?

Answers

Answer:

here p=0.65 and n=100 hence standard error =(p*(1-.

Step-by-step explanation:

The sum of a number times 7 and 15 is at least -19

Answers

Answer:

x(7+15) [tex]\leq[/tex] -19

Step-by-step explanation:

A steep mountain is inclined 74 degrees to the horizontal and rises 3150 feet above the surrounding plain. A cable for a cable car is to be installed from a point 725 feet from the base to the top of the mountain. Find the length of cable needed.

Answers

Answer:

3546 ft

Step-by-step explanation:

First find length of base to center of mountain.

(3150*sin 16 deg)/(sin 74 deg) = ~903 ft

Then dist of point from centre of mountain

903+725=1628 ft

Then cable length

(3150^2 + 1628^2)^0.5 = ~3546 ft

Tessa feeds her dog,Roscoe 3 3/4 cups of dog food per day.if she buys a bag of food that contains 165 cups, how many days will the bag last?

Answers

44 days 165 ÷ 3 3/4 = 44

Find the digits in the tens place, in the hundredths place, and in the thousandths place for the following number 748.6291

Answers

Answer:

8 for tens, 9 for hundredths and thousandths is 1

Step-by-step explanation:

you can find the number by looking at the place of the numbers if it is tens look at the tens place which is the number eight as tens are 2 digit numbers

Okie help help math math math math

Answers

Answer: 33

Step-by-step explanation: In the problem, you are given the figure with the following:

2x+3 and 3x+12

Method: Lets set this into an equation. Remember that straight lines add up to 180°.

2x+3+3x+12=180°    Combine like terms.

5x+15=180°

5x=165°

x=33°

You can always plug in 33° in the expression that was set to make sure it does give you 180°.

Hope this helps.

Answer:

33

Step-by-step explanation:

Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.

2. How many times did Melanie run ½ a mile?

Answers

Answer:

5 miles

Step-by-step explanation:

add the points together.

it seems like each point is how many miles they ran each day.

1/4 + 2(1/2) + 3/4 + 3(1) = 5

find the mean of 100​

Answers

Answer:

100.

Step-by-step explanation:

100 + 0 = 100

100 ÷ 1 = 100

The answer is 100 explanation=

a service or software application that relies on shared resources over the internet

Answers

Answer Cloud Computing

help help help help meeee

Answers

Answer: 36!

Step-by-step explanation:

Answer:

B . 34

Step-by-step explanation:

simply subtract the lowest value from the greatest value, ignoring the others.

Which number is a favor of 12 but not a multiple of 2

Answers

Answer:

3

Step-by-step explanation:

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