Question

Someone help, I just need the answers, no explanation or non of that

Answer 1

5). x = 15

7). JL = 78

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 =
`(1)/(2)(10x+44)`

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 =
`(1)/(2)(JL)`

5x - 16 =
`(1)/(2)(4x+34)`

5x - 16 = 2x + 17

5x - 2x = 17 + 16

3x = 33

x = 11

Therefore, Length of JL = 4(11) + 34

= 44 + 34

= 78 units