Answer:
DE = 27
Step-by-step explanation:
From the picture attached,
Points D and E are the midpoints of the segments AC and BC and DE is the mid-segment joining these points.
By the mid-segment theorem,
A segment joining midpoints of the two sides of a triangle is parallel to the third side. length of mid-segment is half of the 3rd side in measure.
DC = ![\frac{1}{2}\text{AB}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctext%7BAB%7D)
(2x + 13) = ![\frac{1}{2}(13x-37)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2813x-37%29)
2(2x + 13) = (13x - 37)
4x + 26 = 13x - 37
13x - 4x = 26 + 37
9x = 63
x = 7
DE = 2x + 13
= 2(7) + 13
= 14 + 13
= 27
Is there a picture of the data set that goes with this question?
Use ratios to solve this!
5:6 or 5/6 is the ration for Alex.
<span>Cross multiplication is used to solve this, so:
6x = 5(50) </span>
<span>6x = 250 </span>
<span>x = 250/6 </span>
<span>x = 41.67 which then rounds to
42 feet.
Also to your earlier question here is a screenshot of what the box should look like, and i have circled the attach file icon
</span>