Find the length of the mid segment. The diagram is not to scale.For my initial answer I gotI did, 2(6x + 4) = 4x + 56, and then x = 6Plug it in to get 40Can someone please check my work :) Thank you so much
Accepted Solution
A:
You have the correct x value and correct midsegment length. You're on a roll.
To check your answer, simply replace every copy of x with 6 and then simplify each side
2*(6*x+4) = 4*x+56 2*(6*6+4) = 4*6+56 ... replace every x with 6 2*(36+4) = 24+56 2*40 = 80 80 = 80Β The last equation is true so the first equation is true when x = 6 The answer has been confirmed.
Once you know x = 6, the rest of the problem isn't too bad 6*x+4 = 6*6+4 = 36+4 = 40 which is what you got. So that part is correct as well
Or you can compute the bottom side 4*x+56 = 4*6+56 = 24+56 = 80 and then cut that in half 80*(1/2) = 40