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kipiarov [429]
2 years ago
14

What is the value of x? The figure is not drawn to scale. Show work

Mathematics
1 answer:
Alecsey [184]2 years ago
8 0

Answer:

x = 21.

Step-by-step explanation:

AS there are parallel lines:

4/12 = 7/x

4x = 84

x = 84/4 = 21.

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The cube less the square of a number is twice the number. If x is a positive integer, what is its value
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2

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the only positive solution is the number 2

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Triangle ABC has been rotated 90° to create triangle DEF. Write the equation, in slope-intercept form, of the side of triangle A
Ket [755]

the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

<h3>How to determine the equation</h3>

From the figure given, we can deduce the coordinates of the sides

For A

A ( 4,2)

For B

B ( 4, 5)

C ( 1, 2)

D ( 2, -4 )

E  ( 5, -4)

F ( 2, -1)

The slope for BC

Slope = \frac{y2 - y1}{x2 - x1}

Substitute the values for both B and C coordinates, we have

Slope = \frac{2- 5}{1 - 4}

Find the difference for both the numerator and denominator

Slope = \frac{-3}{-3}

Slope = 1

We have the rotation for both point ( 0, 1)

y - y1 = m ( x - x1)

The values for y1 and x1 are 1 and 0 respectively and the slope m is 1

Substitute the values

y - 1 = 1 ( x - 0)

y - 1 = x

Make 'y' the subject of formula

y = x + 1

Thus, the equation in the slope-intercept of the side of triangle ABC that is perpendicular to segment EF is y = x + 1

Learn more about linear graphs here:

brainly.com/question/4074386

#SPJ1

4 0
2 years ago
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