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2 years ago

Find x and fill in the angle values. Could you also explain how it works? Please and thank you.

Mathematics

1 answer:

dlinn [17]2 years ago

4 0

Hello!

Angles 3 and 1 are vertical angles, and angles 2 and 4 are vertical angles. Vertical angles are congruent by definition, so angle 3 is congruent to angle 1, and angle 2 is congruent to angle 4.

The adjacent angles are supplementary (they add to equal 180 degrees) so you can set up an equation to solve for x.

180 = 2x + x
180 = 3x
60 = x

x = 60

To find the measure if each angle, plug in x as needed.

Angle 4 = x
Angle 4 = 60 degrees

Angle 2 = angle 4
Angle 2 = 60 degrees

Angle 3 = 2x
Angle 3 = 2(60)
Angle 3 = 120

Angle 1 = angle 3
Angle 1 = 120

I hope this helps you.

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Step-by-step explanation:

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If x is the size of the child's head, 5 times that would be 5x and "plus 4/5" is + 4/5 so the equation is y = 5x + 4/5.

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2 years ago

(b) The area of a rectangular painting is 7719 cm2.

Nataliya [291]

Given:

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Let length of painting be x cm

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2 years ago

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katrin2010 [14]

Answer:

$\dfrac{225}{64}$

Step-by-step explanation:

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2 years ago

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Answer:

1) The slope of the function $g(x)$ is $0$ and the slope of the function $f(x)$ is $-1$ .

2) The negative slope of the function $f(x)$ shows that it is the line is increasing and the slope $0$ of the function $g(x)$ shows that the line will always have the same y-coordinate.

3) The slope of the function is $f(x)$ is greater than the slope of the function $g(x)$ .

Step-by-step explanation:

For this exercise you need to know that the slope of any horizontal line is zero ( $m=0$ )

The slope of a line can be found with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

You can observe in the graph of the function $g(x)$ given in the exercise, that this is an horizontal line. Then, you can conclude that its slope is:

$m=0$

The steps to find the slope of the function $f(x)$ shown in the table attached, are the following:

- Choose two points, from the table:

$(0,3)$ and $(4,-1)$

- You can say that:

$y_2=-1\\y_1=3\\\\x_2=4\\x_1=0$

- Substitute values into the formula $m=\frac{y_2-y_1}{x_2-x_1}$ :

$m=\frac{-1-3}{4-0}$

- Finally, evaluating, you get:

$m=\frac{-4}{4}\\\\m=-1$

Therefore:

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2) The negative slope of the function $f(x)$ shows that it is the line is increasing and the slope $0$ of the function $g(x)$ shows that the line will always have the same y-coordinate.

3) The slope of the function is $f(x)$ is greater than the slope of the function $g(x)$ .

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