The center of the circle is G. Below is a student's work to find the
value of x. Explain the error and find the correct value of x.

The Center Of The Circle Is G. Below Is A Student's Work To Find Thevalue Of X. Explain The Error And

Answers

Answer 1

Answer:

The error are

1) The use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex]

2) The assumption that [tex]m \widehat{BC}[/tex] = 90°

The vertical angle property between  [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] should be used to find 'x'

x = 5

Step-by-step explanation:

From the drawing of the circle, we are given;

AD = A diameter of the circle

∴ [tex]m \widehat{ACD}[/tex] = 180°

By angle addition postulate, we have;

[tex]m \widehat{ACD}[/tex] = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]

By substitution property of equality, we have;

180° = [tex]m \widehat{AB}[/tex] + [tex]m \widehat{BC}[/tex] + [tex]m \widehat{CD}[/tex]

[tex]m \widehat{AB}[/tex] = 5·x°

[tex]m \widehat{BC}[/tex] = Not given

[tex]m \widehat{CD}[/tex] = 15·x°

However;

[tex]m \widehat{CD}[/tex] is the vertically opposite angle to [tex]m \widehat{FA}[/tex]

∴  [tex]m \widehat{CD}[/tex] = [tex]m \widehat{FA}[/tex] = (16·x - 5)°

[tex]m \widehat{CD}[/tex] = 15·x° = (16·x - 5)°

15·x° = (16·x - 5)°

∴ 5 = 16·x° - 15·x° = x

x = 5

[tex]m \widehat{BC}[/tex] = 180° - ([tex]m \widehat{AB}[/tex] + [tex]m \widehat{CD}[/tex]) = 180° - (15·x° + 5·x°) = 180° - (20·x°)

[tex]m \widehat{BC}[/tex] = 180 - (20×5)° = 80°

[tex]m \widehat{BC}[/tex]  = 80°

The error are the use of the angle addition postulate, for [tex]m \widehat{ACD}[/tex], and the assumption that [tex]m \widehat{BC}[/tex] = 90° rather than the vertical angle property between  [tex]m \widehat{CD}[/tex] and [tex]m \widehat{FA}[/tex] in trying to find 'x', from which x = 5.


Related Questions

Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover?

Answers

[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]

[tex]I \: \: Think \: \: The \: \: Answer \: \: Is \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: 392 \: }}}}}}[/tex]

Answer:

2.) Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover? *

Step-by-step explanation:

How to solve this triangle, please help me.

Answers

Answer:

sum of angles in a triangle is 180

so 70+60+ 8x+2 = 180

132+ 8x = 180

8x = 180-132

x = 48/8

x= 6

then find the angle by substituting value of x

8x + 2

8*6 + 2

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Which equation describes the table shown:
Plzzzzzz i need help

Answers

Answer:

y=1x+2

Step-by-step explanation:

so 1x when x equals 2               1 x 2 =2+2 +=4

Y=1x+2!!! Plug in the x part of the chart :)

NEED HELP PLEASE. NO LINKS OR U WILL B REPORTED. WILL GIVE POINTS AND THE BRAINLIEST. THANKS!!

In a robotics competition, a robot must be built with a specific
maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 in”, a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?

Answers

L = 18, W = 15 and H = ?
2*(15+18) + 2*(15H) + 2*(18H) = 540 + 30H + 36H
1,728 - 540 = 66H
1,188/66 = H = 18
so yes, it meets the height requirement 17.75 is less than 18

PLS HELP ASAP I WILL GIVE BRAINLEAST!!!!!

Answers

Answer:

I did the FSA review so

Step-by-step explanation:

The answers can either be

301.6

301.4

301.7

All are right

Answer:

301.6 hope this help! also have a nice day

WILL GIVE BRAINLIEST!!!!
Priscilla received 240 votes in the election for student council president. That was 60% of the students who voted in the election. How many students voted in the election? *

A) 400 students
B) 300 students
C) 185 students
D) 455 students

Answers

It’s “A” 60% of 400 students

Answer:

I think its c

!

Step-by-step explanation:

PLEASE HELP I HAVE NO IDEA WHAT TO DO!!!

Answers

Answer: multiply and round I'm pretty sure tell me if u want me to multiply for u

Step-by-step explanation:

Exponential functions

Answers

Answer:

oh no i dunno how to do this

Step-by-step explanation:

Answer:

36, 6, (1/)36

1/6 ^ -2 = 6^2 = 36

1/6 ^ -1 = 6^1 = 6

1/6 ^2 = 1/36

Please help best gets brainlist and 5/5 and show work please

Answers

The answer is 12ft

Volume = (base area)(height)
900 = (75)(x)

So to figure out x you’ll need to divide 900 by 75 to get 12

Hope this helps!

A group of friends were working on a student film. They spent all their budget on equipment and costumes. They spent $737 on equipment, and 33% of the total budget on costumes. What was the total budget for their student film?

Answers

Answer:

Budget= $1,100

Step-by-step explanation:

Giving the following information:

They spent $737 on equipment and 33% of the total budget on costumes.

If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).

Then, to calculate the total budget, we need to use the following formula:

Budget= 737 / 0.67

Budget= $1,100

Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft2 and she painted 288 ft2 yellow, what percent of the room did she paint green?

Answers

Answer:

Total percent of the room did she paint green = 60%

Step-by-step explanation:

Given - Cheryl painted her living room walls with two different colors. She painted part of the room yellow and another part green. If the surface area of the walls in her room is 720 ft² and she painted 288 ft² yellow.

To find - What percent of the room did she paint green ?

Proof -

Given that,

The surface area of the walls in her room = 720 ft²

Total area painted in yellow color = 288 ft²

So,

Total area painted in green color would be = 720 - 288 = 432 ft²

Now,

Let the total percent green color painted = x

So,

720 × x% = 432

⇒[tex]720*\frac{x}{100} = 432[/tex]

⇒ x = [tex]\frac{432*100}{720}[/tex] = 60

∴ we get

Total percent of the room did she paint green = 60%

4 divided by 1/2 show your work

Answers

Answer:

8

Step-by-step explanation: frst 1/2=0.5

4/0.5=8

Answer:

4 divided by 1/2 is equal to 8

Step-by-step explanation:

basically do 4*2 and you will get your answer

or you should know that 1/2=0.5

so how many 0.5 are in 4, 2 0.5's are in 1 so you have to do 2*4

hope this helped, can i please get brainiest

Please help me I can’t figure it out NO LINKS
LINKS=REPORT

Answers

Answer:

x = 3

y = 8

Step-by-step explanation:

ok we will substitute

y = x + 5

into the second equation

4x + y = 20

4x + (x + 5) = 20

5x + 5 = 20

5x = 15

x = 3

y = x + 5 = 3 + 5 = 8

Answer:

4(3)+y=20

Step-by-step explanation:

4*3=12

Y= 3+5

3+5=8

12+8=20

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Answers

Answer:

$13,325

Step-by-step explanation:

Abe makes $18.50 per hour. He works 40 hours a week. He is considering renting an apartment that will cost $1,500 per month. What is the difference between his recommended rent amount and the cost of this apartment (round to the nearest dollar)?

Answers

Answer:

os(390)   sin(330)   csc(60)

Step-by-step explanation:

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Answers

Answer:

The First One

Step-by-step explanation:

Because its dimensions are 5 by 8

The price of an item has been reduced by 70%. The original price was 70$. What is the price of the item now?

Answers

Answer:

21

Step-by-step explanation:

original price-reduced price

100%-70%=30%

100%=70

30%

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The data set shows the numbers of miles Ms.Franklin drove on five days. answer choices are in the picture ( please no files or links just the answer)​

Answers

Please include the data set so we can answer to question.

Solve please. 20 points.

Answers

Answer:

336 cm^2

Step-by-step explanation:

Well theres not exactly a formula, I jsut solve the 3 faces and then double it all since 2 are the same for each except for 1 so the first side is the 10X12 one. that would give you 60 and then you double that and get 120 since 2 same faces.

The next one the 6X13  one is just a sideways rectangle, a=lw and that would be 78. Two faces same side double 78 and get 156.

Now the final side is the bottom which is jsut 10X6. a=lw and that would eqaul 60. No need to double since thats the only side that doesn’t have a duplicate. Add all your result up and you would get

336 cm^2

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Answers

Answer:

2x + t - 1 =14

Step-by-step explanation:

give me brainliest plz and hope this helps also i am very good at math so that is a reassurance that this is correct

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Answer:

1: 11/14 2: 1 5/12 3: 1 1/20 4: 7/10 5: 3/4 6: 1 2/9 7: 1 8: 1/8 9: 3/5 10: 23/24


f(1) = -3
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f(2)=

Answers

f ( 2 ) = 2 × f ( 2 - 1 ) + 1

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Answer:

it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285

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Answer:

its simple just do numbers like 1,4 2,4 6,9 3,9

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A chef used 6 cups of flour for every 2 cups of sugar to bake a cake. If he uses 12 cups of sugar, how many cups of flour did he use?

Answers

Answer:

36

Step-by-step explanation:

2 goes into 12 6 times and 6x6 = 36.

Answer =36 6x6=36 12divided by 2

mallory and five of her friends bought a box of 36 cookies. together they ate 2/3 of the cookies

Answers

Answer:

24 cookies got eaten 12 weren't eaten

Step-by-step explanation:

36 divided by 3 = 12

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Answers

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Answers

Answer:

Angle 3 = 115°

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Step-by-step explanation:

These two triangles are congruent by SSS. It is given that two sides are congruent already, and by the reflexive property, they share a side and therefore have a third congruent side.

By CPCTC, all of their angles and sides are also congruent. And by the triangles angle sum theorem, side 3 and 6 must equal 115°

~~~

Have a nice day. Feel Free to ask questions. Spread the love.

Step-by-step explanation:

4 = 22⁰

5 = 43⁰

3 and 6 are same

kite total angles = 360⁰

so, to find 3 and 6, we need to subtract all angles we have and devide it with 2 because we need to find 2 angles...

360-22-22-43-43= 230

3 and 6 = 230 ÷ 2

= 115⁰

tombstone and bury me.. by the river they'll carry me. finally I been resting in peace.. finally, finally..​

Answers

Answer:

rhymy

Step-by-step explanation:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

A=59 because it is opposite of E

B= 39 because 180-141=39

C=82 because 180-39-59=82

Answer:

Step-by-step explanation:

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