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

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

1 1/5

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.