Question

1. If CW = 15, find CX and XW.
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2. If BX=8, find BY and XY.
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3. If XZ = 3, find AX and AZ.
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CAN ANYONE HELP ME ASAP? I WILL GIVE BRAINLIEST!

Answer 1

Answer/Step-by-step explanation:

According to the centroid theorem, the X is ⅔ of the distance from each vertex to the midpoint of the opposite side.

Thus:

1. If CW = 15,

CX = ⅔*(15)

CX = 10

XW = ⅓*(15)

XW = 5

2. If BX = 8,

BX = ⅔*BY

3*BX = 2*BY

(3*BX)/2 = BY

(3*8)/2 = BY

24/2 = BY

12 = BY

BY = 12

XY = ⅓*BY

XY = ⅓*12

XY = 4

3. If XZ = 3, find AX and AZ.

XZ = ⅓*AZ

XZ*3 = AZ

3*3 = AZ

9 = AZ

AZ = 9

AX = ⅔*AZ

AX = ⅔*9

AX = 6