Answer:
PT=19
Step-by-step explanation:
It is given that, T is the midpoint of PQ. If T is mid point, then it will bisect the line segment i.e.
PT=TQ
4x + 7=8x - 5
Subtracting 7 both sides
4x + 7-7=8x - 5-7
4x=8x-12
Subtracting 8x both sides
4x-8x=8x-12-8x
-4x=-12
4x=12
x=3
The value of x is 3.
Now,
PT = 4x + 7
= 4(3) + 7
=12+7
=19
Therefore, the length of PT is 19.
Answer:
m∠1=111°
Step-by-step explanation:
Since angle 1 is an exterior angle on a straight line, it is the sum of the two outer angles of the triangle.
64+47=111.
Hello There! The answer is 12w - 12y + 3.
Here's a step by step on how to solve 3(2w-4y+3)+6w-6.
Step 1: Multiply the 3 by the numbers in the parenthesis.
3(2w-4y+3)+6w-6 ⇒ 6w - 12y + 9 + 6w - 6
Step 2: Rearrange the numbers so like terms are next to each other.
6w - 12y + 9 + 6w - 6 ⇒ 6w + 6w - 12y - 6 + 9.
Step 3: Combine like terms. (6w + 6w and - 6 + 9).
6w + 6w - 12y - 6 + 9 ⇒ 12w - 12y + 3
This is your final answer since you cannot simplify any further. I hope this helps and have a great day!