Mathematics High School

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

PLEASE HELP!
For what values of x are the following expressions equal to each other.
the binomials x^2 - 6x and 5x-18

Answers

Answer:

x = 9, 2

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

The values of x that make the expressions x² - 6x and 5x - 18 equal to each other are x = 2 and x = 9.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

To find the values of x that make the expressions  x²  - 6x and 5x - 18 equal to each other

We have to set them equal to each other and solve for x:

x² - 6x = 5x - 18

x²  - 11x + 18 = 0

Next, we can factor this quadratic equation:

(x - 2)(x - 9) = 0

Now we can use the zero product property and set each factor equal to zero:

x - 2 = 0 or x - 9 = 0

Solving for x, we get:

x = 2 or x = 9

Therefore, the values of x that make the expressions x² - 6x and 5x - 18 equal to each other are x = 2 and x = 9.

To learn more on Equation:

https://brainly.com/question/10413253

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Simplify the expression by combining like terms.
Write the terms in alphabetical order of the
variables.
5x - 2y - 6z - 10x - 14y - 18z

Answers

Answer:

-5x - 16y - 24z

Step-by-step explanation:

5x - 2y - 6z - 10x - 14y - 18z

5x - 10x - 2y - 14y - 6z - 18z

-5x - 16y - 24z

A bag contains 6 blue marbles, 4 red marbles, and 4 green marbles. You choose one without looking,
What is the probability that it is red or green? Enter your answer as a fraction.
The probability that you choose a red marble or a green marble is

Answers

Given:

Number of blue marbles = 6

Number of red marbles = 4

Number of green marbles = 4

Choose one marble without looking,

To find:

The probability that the selected marble is red or green.

Solution:

For the given problem,

Total outcomes = Total number of marbles

                          = [tex]6+4+4[/tex]

                          = [tex]14[/tex]

Favorable outcomes = Number of red or green marbles.

                        = [tex]4+4[/tex]

                        = [tex]8[/tex]

The probability that the selected marble is red or green, is

[tex]P=\dfrac{\text{Favorable outcome}}{\text{Total outcomes}}[/tex]

[tex]P=\dfrac{8}{14}[/tex]

[tex]P=\dfrac{4}{7}[/tex]

Therefore, the probability that the selected marble is red or green, is [tex]\dfrac{4}{7}[/tex].

6) Mrs. Allen needs eggs for a recipe she is making with all of her students. She is buying eggs that come 12 eggs to a carton. If she has 7 eggs left from yesterday's recipe and needs a total of 55 eggs, how many cartons does she need to buy? ​

Answers

4 because 55-7=48 48/12=4

Find the angle relationship in the table

Answers

Answer: i can barely see that if you wanna make another pic i prolly can but i think 4 and 8 are a linear

Step-by-step explanation:

PLEASE HELP ASAP PLEASE ​

Answers

The median means number in the middle.
in order it would be -3, 1, 3, 3, 6
the number in the middle is 3
so the median of this sequence is 3 ! :)

Answer:

3

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What is the value of z in the figure shown? 45.6 1148​

Answers

Answer:

45

Step-by-step explanation:

enter the decimal equivalent of 11/8

Answers

Answer:

1.375

Step-by-step explanation:

Answer:

1.375 would be the answer because if you turn 3/8 into a decimal it = 0.375 so you add the 1 + 0.375 = 1.375 total

Step-by-step explanation:

What os 3.6% of 82 and explain plz

Answers

2.952

Step-by-step explanation:

First you must convert 3.6% into a decimal which is 0.036 (or move the decimal over twice).

Then multiply 82 by the given decimal

82 x 0.036= 2.952

(round if necessary)

m∠x + m∠y = ??

need answers asap

Answers

Answer:

90º

Step-by-step explanation:

A triangle = 180º.

m<Z = 90º

So m<x + m<y = 180 - 90

That equals 90º

Hope that helps!

Solve for x using the image (show work)

Answers

x+106=100(corresponding angle)

x=100-106

x= -6

find the slope (-4,1) and (2,2)

Answers

The slope is 1/6 hope this helps here is the work

7. What is the slope of a line that passes through the
origin and (-3,-2)?

Answers

Answer:

Step-by-step explanation:

( 0, 0) and (-3 , -2)

Slope = Change in y ÷ change in x

          [tex]= \frac{-2-0}{-3-0}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}[/tex]

Please help with these two (I will report you if you try to give me a link to a virus)

Answers

1- false a positive is greater than a negative so clearly there could be positive answers to the inequality. 2-true since the numbers and sign flipped it would still be the same

Answer:

1 answer will be false and second answer will be true

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Answers

I think c) 9 but I’m not too sure

BRAINLIEST
a. 45
b. 34
c. 29
d. 56​

Answers

Question:

Find x to the nearest degree

Answer:

a. 45

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Answers

Answer:

its right

Step-by-step explanation:

Point X (2,-2), k= 1/2
HELP ASAP

Answers

Don’t click on the link it’s a scam .

What is answer to x+4​

Answers

Answer:

4x

Step-by-step explanation:

I think the answer is 4X.on the other hand, I think the answer is x + 4 because we were told you can't mix goats with cows.it is the same thing with x + 4 so if the answer isn't 4 x it is x + 4 I'm not quite sure which is the answer hope it helps.

Hello! Please help! (directions on the image) :D

Answers

Maybe 2.5 I guess I know that it says the answer is shown there check it out yourself

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Classify VP in V
A. Chord
B. Radius
C. Secant
D. Tangent ​

Answers

Answer: Radius
Explanation: I just know.


16. April Atherton is an accounting clerk with an annual salary of $22,500. Her benefits include $834 for
vacation, $1,300 for health insurance, $1,035 for unemployment insurance, $1,395 for Social Security, and
$326 for Medicare. What is the rate of benefits?
a. 32.9%
c. 42.8%
b. 21.7%
d22.8%

Answers

Answer:B: 42.8%

Step-by-step explanation:because if you subtract all the money she used from the salary she will still have most of her money and I did the math and I got 42.8%

Question above. (BRAINLY WANTS ME TO MAKE THE QUESTION 20 CHARACTERS LONG)









Answers

Answer:

10. 32 & 37

11. 3 & 4

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What is the area of the triangle?
7
5
4

Answers

5 I believe I am not sure But I think that is it.

Answer:8

Step-by-step explanation:

5 times 7 % 4= 35 % 4 =8

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Answers

Answer:

4.5 Cubic Feet

Step-by-step explanation:

1. You want to find the volume of the box. (Length x width x height)

2.5 x 2 x 1.5 = 7.5

2. The present has a volume of 3 cubic feet, so you would subtract that from the volume of the box.

7.5 - 3 = 4.5

3. The volume of the empty space in the box is 4.5 cubic feet.

Hope this helped! :)

WILL MARK BRANLYEST! 554578948943265798656003567X94855596756005-987645433

Answers

Answer:

5.26049171503e+40

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

m<A= 14 and m<C= 119

Step-by-step explanation:

Hope this helps, have a nice day :)

Answer:

<A= 14 and <C= 119

Step-by-step explanation:

Solve (x-5)^2=3

Please help

Answers

A is the answer!!!!!!!!!!

Gustus bought three pairs of shoes. Each pair costs $19.98. What is the total amount he spent on shoes, before tax?

Answers

19.98 x 3 = 59.94
he spent a total of $59.94

The total amount Gustus spent on shoes, before tax is $59.94.

Given that, Gustus bought three pairs of shoes. Each pair costs $19.98.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Now,

Total amount =Number of pairs of shoes ×Cost of one pair of shoe

= 3 ×19.98

= $59.94

Therefore, the total amount Gustus spent on shoes, before tax is $59.94.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

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