Find the value of PT. T is the midpoint of PQ Over Score PT=3x+9 and TQ=5x-5
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.
decimal form of 75/2?
The decimal form of 75/2 is 37.5.
To find the value of PT, we need to determine the value of x.
Given that T is the midpoint of PQ, we know that PT is equal to TQ. Therefore, we can set up an equation to find the value of x:
PT = TQ
3x + 9 = 5x - 5
Now let's solve this equation to find the value of x:
3x - 5x = -5 - 9
-2x = -14
Dividing both sides of the equation by -2:
x = (-14)/(-2)
x = 7
Now that we have found the value of x, we can substitute it back into the expression for PT to find the final answer:
PT = 3x + 9
PT = 3(7) + 9
PT = 21 + 9
PT = 30
Therefore, the value of PT is 30.