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14. a is the midpoint of wz. determine the value of x and the missing l…

Question

  1. a is the midpoint of wz. determine the value of x and the missing lengths. w 2x + 4 a 18 z x = wa =

Explanation:

Step1: Set up equation using mid - point property

Since A is the mid - point of WZ, then WA = AZ. So, 2x + 4=18.

Step2: Solve for x

Subtract 4 from both sides of the equation: 2x=18 - 4, which simplifies to 2x = 14. Then divide both sides by 2: x = 7.

Step3: Find the length of WA

Substitute x = 7 into the expression for WA. WA=2x + 4, so WA=2(7)+4=14 + 4=18.

Answer:

x = 7
WA = 18