The numerical value of PT is 15
How to determine the value of PT?
The line segments are given as:
PT = 3x +9
TQ = 5x - 7
Assume PT and TQ are equal, then we have:
3x + 9 = 5x - 7
Collect the like terms
5x - 3x = 9 + 7
Evaluate the like terms
2x =16
Divide by 2
x = 8
Substitute x = 8 in PT = 3x +9
PT = 3 * 2 + 9
Evaluate
PT = 15
Hence, the numerical value of PT is 15
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