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victorialeverp714lg
03.12.2020 •
Mathematics
Find DE
13x-37
2x+13
Solved
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Ответ:
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}](/tpl/images/0943/6902/ac9c5.png)
(2x + 13) =![\frac{1}{2}(13x-37)](/tpl/images/0943/6902/830c4.png)
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
Ответ:
r
(
x
2
+
5
)
=
√
x
2
+
8
Step-by-step explanation: