Find the indicated measures, given that EA is a diameter

a) mDEF =
b) mEFG =
c) mAC=

d) Explain how you found each angle measure below. Be sure to show all of your work.

Find The Indicated Measures, Given That EA Is A Diametera) MDEF =b) MEFG =c) MAC=d) Explain How You Found

Answers

Answer 1

Using the knowledge of the measure of a semicircle, the measures in the circle given are:

a. m(DEF) = 152°

b. m(EFG) = 70°

c. m(CA) = 28°

What is the Measure of a Semicircle?

Half of a circle is a semicircle = 180°.

Given the following:

m(CDE) = 152°m(FG) = 31°m(AG) = 110°m(DC) = m(EF) = 180 - 110 - 31 = 39° (semicircle)

a. m(DEF) = [m(CDE) - m(DC)] + [m(EF)]

m(DEF) = (152 - 39) + 39

m(DEF) = 152°

b. m(EFG) = m(EF) + m(FG)

m(EFG) = 39 + 31 = 70°

c. m(CA) = 180 - 152 (semicircle)

m(CA) = 28°

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Related Questions

The polynomial of degree 3 , P ( x ) , has a root of multiplicity 2 at x = 1 and a root of multiplicity 1 at x = − 2 . The y -intercept is y = − 0.2 .

Answers

Answer:

The polynomial of degree 3 ,P(x), has a root of multiplicity 2 at x=1 and a root of multiplicity 1 at x=−1. The y-intercept is y=−0.2

Kevin is an auto mechanic. He spends 3 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 36 hours a week. He routinely completes at least 2 shocks replacements and 3 brake replacements a week. If he charges ​$400 for labor replacing shocks and ​$200 in labor for replacing​ brakes, how many jobs of each type should he complete a week to maximize his​ income?

Answers

Answer:

See below ....question is a bit unclear

Step-by-step explanation:

He makes  133.33 per hour with shocks and only 100 per hour with brakes.

he should only do 36/3 = 12 shock jobs per week and no brakes.

  if he HAS to do at LEAST 3 brake jobs

     then he should do   3 brakes  and 10 shocks  

If you travel 60 feet in 4 seconds, how fast are you going in yards per minute?

Answers

Answer:

approximately 300 yards per minute

Step-by-step explanation:

A roller coaster's height is given by the equation h = -0.067t^2 + 7t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0

A. 13.40 seconds
B. 50.07 seconds
C. 52.24 seconds
D. 111.19 seconds

Answers

The time it take riders to pass over the hill and reach ground level is 111.19seconds

Functions and values

Given the roller coaster's height expressed by the function below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1
0.067t^2 - 7t +-50 = 0

Factorize

On factorizing, the positive value of "t" is 111.19 seconds

Hene the time it take riders to pass over the hill and reach ground level is 111.19seconds

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Answer:

D) 111.19

Step-by-step explanation:

Step 1:

set h = 0

0 = -0.067t^2 + 7t + 50

Step 2:

multiply by -1

0 = 0.067t^2 - 7t - 50

Step 3:

My way may differ than your way but my is plug in all answer choices as t. If the answer choice equal to 0 meaning the answer.

A choice

0 = 0.067(13.40)^2 - 7(13.40) - 50

0 = 12.03 - 94.5 -50

0 = - 132.47

It doesn't equal to 0 meaning this choice is wrong answer

B choice

0 = 0.067(50.07)^2 - 7(50.07) - 50

0 = 167.96 - 350.49 - 50

0 = - 232.53

It doesn't equal to 0 meaning this choice is wrong answer

C choice

0 = 0.067(52.24)^2 - 7(52.24) - 50

0 = 182.84 - 365.68 - 50

0 =  - 232.84

It doesn't equal to 0 meaning this choice is wrong answer

D choice

0 = 0.067(111.19)^2 - 7(111.19) - 50

0 = 828.33 - 778.33 - 50

0 = 0

It does equal to 0 meaning this choice is right answer

The answer is D) 111.19

Pls give me brainiest (I worked hard for this)

aitlyn has $2500 in a saving account.
She collects 3% annual simple interest.
How many years will it take to collect
$150 in interest?

Answers

Answer:

2 years

Step-by-step explanation:

The interest amount per year is

3% of $2500 = 3*2500/100 = 75

Number of years is

150/75 = 2

Answer:

2 years

Step-by-step explanation:

Simple Interest Formula

I = Prt

where:

I = total interest earnedP = principalr = interest rate (in decimal form)t = time (in years)

Given:

P = $2500r = 3% = 0.03I = $150

Substitute the given values into the formula and solve for t:

⇒ 150 = 2500(0.03)t

⇒ 150 = 75t

⇒ t = 150 ÷ 75

⇒ t = 2

Therefore, it will take 2 years to collect $150 in interest.

Whoever gets the Question right and first gets 15 points
(275x523)+19x34/3=?

Answers

Answer:

144040.3333

Step-by-step explanation:

275*523 = 143825

19x34/3 = 215.3333333

so add them up to get 144040.3333

Answer:

144040.333333

Step-by-step explanation:

start with parenthesis (275x523)

This would get you, 143825.

Next, you would do, (19x34/3)

That would get you, 215.333333333.

Finally, you would add the two numbers together and get a product of 144040.333333.

Find the volume of the triangular prism to the right.
5 ft
10 ft
The volume of the prism is ? ft^3

Answers

Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

Use the quadratic formula to solve the equation 9 x 2 + 30 x + 50 = 0 .

Answers

Answer:

I did how you told us to do it and I came up with 98 im not sure if that the right answer but I try to help

Find the slope of the line shown in the graph below.

Answers

Answer: The slope is 1

Step-by-step explanation:

We can see that between the two points it goes up 2 units (rise) and right 2 units (run).

Since slope is [tex]\frac{rise}{run}[/tex] we can sub in the values to find the answer

[tex]\frac{rise}{run}=\frac{2}{2} =1[/tex]

Find the area of the figure.

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width to the big square is 60cm. The length to the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area enclosed is the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

URGENT HELP 20 POINTS

Answers

I think E? (I’m sorry if I’m wrong, I’m still trying)

Answer:

[tex]ab( {a} ^{2} + {b)}^{2} \\ [/tex]

[tex] {a}^{ 3} b + a {b}^{3} [/tex]

a circular wall clock with a circumference of 94.2 cm is mounted on a wall. How much area of the wall did it occupy

Answers

Circumstance = 3.14 • diameter

So…
94.2 = 3.14 • diameter
94.2/3.14 = 30 cm

The diameter is 30 cm, so the radius (1/2 of diameter) would be 15 cm.

Area = 3.14 • radius^2

So…
Area = 3.14 • 15^2
Area = 706.5 cm squared

What is 180-90-37 as a degree?

Answers

Answer:

53 degrees

Step-by-step explanation:

since 180 is a straight line and 90 is half of that, all you need to do is take 37 away from 90 and you get 53

The equivalent degree of the of the expression is 53 degrees .

Given,

180° - 90° - 37°

Now,

The equivalent value of the expression :

180° - 90° - 37°

Firstly compute the like terms,

-90° - 37°

= -127°

Now,

180° - 127°

= 53°

Know more about degrees,

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The volume of a tree stump can be modeled by considering it as a right cylinder. Justin measures its circumference as 84 in and its volume as 20214 cubic inches. Find the height of the stump in feet. Round your answer to the nearest tenth if necessary.

Answers

The height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

What is a cylinder?

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Since the base of a cylinder is circular in shape, the circumference is expressed as;

C = 2πr

Given that the circumference of the base is 84 in, we can now calculate the radius r.

C = 2πr

84in = 2 × 3.14 × r

84in = 6.28 × r

r = 84in / 6.28

r = 13.4in

Now, the Radius of the cylinder r = 13.4in and its volume = 20214in³, we substitute this values into the expression for volume of cylinder above to find the height h.

V = π × r² × h

20214in³ = 3.14 × ( 13.4in)² × h

20214in³ = 3.14 × 179.56in² × h

20214in³ = 563.8in² × h

h = 20214in³ / 563.8in²

h = 35.9in

Therefore, the height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

Learn more about volume of cylinder here: brainly.com/question/16788902

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Find the perimeter of the figure below. Notice that one side length is not given.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.

Answers

Answer:

52 cm

Step-by-step explanation:

The only tricky part is getting the not measured side. However, you have a portion of it. 16-11=5, and that is the missing side. Then just add everything together.

If you spin the spinner 9 times, what is the best prediction possible for the number of times it will land on yellow?

Answers

Answer:

0? There's no yellow.

Step-by-step explanation:

Help help help math math math

Answers

Answer:

Equation of straight line is y=Mx+X

or, y-7=-1/5x(x-(-1)

Hence y-7=-1/5x(x-(-1) is the required equation.

Answer:

ok i heres the answer

Step-by-step explanation:

there you go have a nice day

can someone help me out with khan?

Answers

the answer is 10 . hope this is right

Can Some1 Please Help Me!!!
The ratio of men to women working for a company is 4 to 3. If there are 161 employees total, how many men work for the company?

Answers

Answer:

i dont know

Step-by-step explanation:

hope you find you answer

What’s 9+10 equal to???

Answers

Answer:

19

Step-by-step explanation:

9+10=19

11+8=19

Hope it Helps


19

10+9=19





have an amazing day

Find the amount of work W done by a force F = 115i +350j
in moving an object in a straight line given by the displacement vector D = -13i+15j.

Answers

The work is equal to the dot product of the force and displacement vectors:
W = (115 i + 350 j) • (-13 i + 15 j)

W = 115 × (-13) + 350 × 15

W = 3755

please help!! very important!!

Answers

Answer:

d

Step-by-step explanation:

Hardware store:

4 bulbs = $20

1 bulb = $20 / 4 = $5

Grocery store:

6 bulbs = $24

1 bulb = $24 / 6 = $4

The difference in price = $5 - $4 = $1

The grocery store sells at the lesser price.

So, the grocery store charges $1 less per light bulb than the hardware store.

Identify the elements for each problem

Answers

find circumference of the circle whose parameter is 14 cm

Find the circumference of a circle with diameter 14 cm

Mr. Chau is planting a circular flower garden in his backyard. If the diameter of his garden is 12 feet, what is the area of the garden?

Answers

Answer:

A = 113.04 ft² or 36π ft²

Step-by-step explanation:

Area of a circle: πr²

radius: d/2 (12/2 = 6 ft)

π (pi) = 3.14

Solve:

A = πr²

A = 3.14(6)²

A = 3.14(36)

A = 113.04 ft² or 36π ft²

Hope this helps!

In each circle, find the value of x. Please help

Answers

In a circle, angles subtended by the same arc at the circumference are equal. This means that angles in the same segment are equal.

Using this equation, we can create the following equation:

[tex]4x=3x+10[/tex]

For which we can solve to get:

[tex]x=10[/tex]


Hope this helps!

Two vertices of a rectangle are located at (6, 1) and (8, 1). The rectangle has an area of 18 units2 and is entirely in the first quadrant. What are the other two vertices?

Answers

The two other two vertices will be (6, 10) and (8, 10)

How to calculate the area of a rectangle?

A rectangle is a 2-dimensional shape with equal opposite sides. The formula for calculating the area is given as:

Area = length * width

Given;

Area = 18 square units

Length = x2 -x1 = 8 -6
length = 2 units

Determine the width

Width = A/l

Width = 18/2
Width  = 9 units

Hence the two other two vertices will be (6, 10) and (8, 10)

Learn more on area of rectangle here: https://brainly.com/question/2607596

Solve the equation for x.
-2x = 14
-
Enter the number that belongs in the green box.
x = [?]
Enter
I

Answers

Answer:

[tex]\displaystyle -7[/tex]

Explanation:

[tex]\displaystyle \boxed{-7} = \frac{14}{-2}[/tex]

I am joyous to assist you at any time.

Answer:

[tex]\boxed{\sf{x=-7}}[/tex]

Step-by-step explanation:

To solve this problem, you have to find the value of x to isolate it on one side of the equation.

-2x=14

First, you divide by -2 from both sides.

-2x/-2=14/-2

Solve.

Divide these numbers from left to right.

14/-2=-7

x=-7

Therefore, the final answer is x=-7.

The speed of the jet Alyssa flew on from Boston to London was 480
mph. On her return flight, the speed of the jet was 600 mph with a tail
wind. What was Alyssa's average speed on the round trip? Round your
answer to one decimal place.

Answers

Answer:

540 Mies per hour

Step-by-step explanation:

add 600 and 480 then divide by 2

Alyssa's average speed on the round trip is 540 Mies per hour.

We have given,

The speed of the jet Alyssa flew on from Boston to London was 480

mph.

On her return flight, the speed of the jet was 600 mph with a tail

wind.

What is the average speed?

[tex]average speed=\frac{a+b}{2}[/tex]

a=inital speed

b=final speed

add 600 and 480 then divide by 2

That can be given by

[tex]=\frac{600+480}{2}\\\\=\frac{1080}{2}\\\\=540[/tex]

Alyssa's average speed on the round trip is 540mph.

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ANSWERS FOR THESE!!!

Answers

Answer:

Question 23) 12 x 6√3 = 72√3

Question 24) 672 cm³

What is the measure, in degrees, of

Answers

Answer:

Hi good job

Step-by-step explanation:

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