Find the value of a and yz if y is between x and z. x y = 7 a , y z = 5 a , x z = 6 a 24

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HafsaM HafsaM · Answer 1 · 2022-08-24T11:36:49-04:00

Value of a is 4 and value of line YZ is 20 units

Given:

Y is between point X and Z

Value of line XY = 7a

Value of line YZ = 5a

Value of line XZ = 6a + 24

Value of "a" and line YZ

We know that

XY + YZ = XZ

So,

7a + 5a = 6a + 24

12a = 6a + 24

6a = 24

a = 4

Value of a = 4

So,

Value of line YZ = 5a

By putting value of a

Value of line YZ = 5(4)

Value of line YZ = 20 units

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