Respuesta :

Answer:

see explanation

Step-by-step explanation:

(a)

Since Y is the midpoint of XZ , then

XY = YZ , that is

4a - 4 = 3a + 2 ( subtract 3a from both sides )

a - 4 = 2 ( add 4 to both sides )

a = 6

(b)

XY = 4a - 4 = 4(6) - 4 = 24 - 4 = 20

XZ = 4a - 4 + 3a + 2 = 7a - 2 = 7(6) - 2 = 42 - 2 = 40

kelechicu

Step-by-step explanation:

if if y is the mid point of the line

therefore: XY=YZ

4a-4=3a+2

collecting like terms.

4a-3a=2+4

a=6

b. XY= 4a-4

recall a=6

XY= 4(6)-4

XY=24-4

XY= 20

XZ= 4a-4+3a+2

XZ= 7a-2

and a=6

XZ= 40

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