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.

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Answers

19.98 x 3 = 59.94
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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.

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Step-by-step explanation:

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Answers

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1.375

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

m∠x + m∠y = ??

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

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Answers

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Answers

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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)

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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

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Next, we can factor this quadratic equation:

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Answers

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Step-by-step explanation:

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Answer:

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A bag contains 6 blue marbles, 4 red marbles, and 4 green marbles. You choose one without looking,
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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

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                          = [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

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Answers

Answer:

its right

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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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:


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Answers

Answer:

Step-by-step explanation:

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

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Step-by-step explanation:

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2.5 x 2 x 1.5 = 7.5

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Answers

Answer:

4x

Step-by-step explanation:

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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

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