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
Explanation: Given that, 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
Thus, the Value of line YZ = 20 units.
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