7. Find DE ( Triangle mid-segment theorems)

Answer:
45 units
Step-by-step explanation:
See the given diagram with the question here.
The point D and point E are the midpoints of line segments AC and BC respectively.
Therefore, the length of the line joining points D and E will be half of length AB.
Now, given that AB = 11x - 25 and DE = 4x + 1.
Hence, ( 11x - 25 ) = 2 ( 4x + 1 )
⇒ 3x = 33
⇒ x = 11
Therefore, length DE = 4x + 1 = 4 ( 11 ) + 1 = 45 units. (Answer)
Answer:
37 units
Step-by-step explanation:
the guy uptop did the math wrong
what you do is
since both the sides are double the lenth of the original smaller triangle, the rate of dialtion is by 2
so you muntiply 4x+1 by 2 and it should equal to the top line AE
since you multiplyed them by 2 now they are the same so you can solve for X
11x-25=2(4x+1)
11x-25=8x+2
3x=27
x=9
then you plug in 9 for x at the bottom
4(9)+1=37
to double check plug in x for the top as well
and it should be double the amount as the bottom (smaller one)
and indead it is 74
X=9
plug in X and you answer is 37