Answer:
XY = 11 centimeters
Step-by-step explanation:
Given info:
WZ = 28cm
Y is the midpoint of XZ
What are we asked to find:
XY
Solve:
WZ is the sum sum of WX + XY + YZ
The variable is a
We know that WZ is 28, and values for WX, XY, and YZ are given as expression
So:
28 = (a + 1) + (2a + 1) + (2a + 1)
Combine like terms:
28 = 5a + 3
Solve for a:
28 - 3 = 5a + 3 - 3
25 = 5a
25 ÷ 5 = 5a ÷ 5
5 = a
Now that we solved for a, we can simply plug a in for the expression (2a + 1)
(2a + 1) =
(2*5 + 1) =
(10 + 1) = 11
XY in centimeters is 11
-Chetan K
