Answered

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a is the midpoint of segment XY.find the value of x and the length of XY

A Is The Midpoint Of Segment XYfind The Value Of X And The Length Of XY class=

Sagot :

ANSWER

x = 3, XY = 18

EXPLANATION

We have that A is the midpoint of XY. It means that A divides XY into 2 equal parts.

This means that:

XA = AY

We have that:

XA = 3x

AY = 5x - 6

=> 3x = 5x - 6

Collect like terms:

3x - 5x = -6

-2x = -6

Divide through by -2:

x = -6 / -2

x = 3

That is the value of x.

Since A is the midpoint of XY and XA = AY, then:

XY = 2XA or XAY

So:

XY = 2XA

XY = 2 * 3x = 2 * 3(3)

XY = 2 * 9

XY = 18

That is the value of XY.

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