Find the value of PT. T is the midpoint of PQ Over Score PT=3x+9 and TQ=5x-5

Answer 1

To find the value of PT, we need to equate the lengths of PT and TQ and solve for x.

Given:
PT = 3x + 9
TQ = 5x - 5

Since T is the midpoint of PQ, we know that PT is equal to TQ. Therefore, we can set up the equation:

3x + 9 = 5x - 5

To solve this equation, we first combine like terms:

9 + 5 = 5x - 3x - 5
14 = 2x - 5

Next, we isolate the variable term:

2x = 14 + 5
2x = 19

Finally, we solve for x by dividing both sides of the equation by 2:

x = 19/2

Therefore, the value of PT can be found by substituting this value of x back into the expression for PT:

PT = 3(19/2) + 9
PT = 57/2 + 9
PT = 57/2 + 18/2
PT = 75/2

Thus, the value of PT is 75/2.

Answer 2

decimal form of 75/2?

Answer 3

The decimal form of 75/2 is 37.5.