Answer:
5). x = 15
7). JL = 78
Step-by-step explanation:
We can solve these problems with the help of midsegment theorem.
Midsegment theorem:
"Segment joining midpoints of two sides of a triangle is parallel and half the measure of third side of the triangle"
Question 5
8x - 23 =
8x - 23 = 5x + 22
8x - 5x = 22 + 23
3x = 45
x = 15
Therefore, x = 15 is the answer.
Question 7
Since, MN is the midsegment,
MN =
5x - 16 =
5x - 16 = 2x + 17
5x - 2x = 17 + 16
3x = 33
x = 11
Therefore, Length of JL = 4(11) + 34
= 44 + 34
= 78 units