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Aneli [31]
2 years ago
15

Prove LMNO is a parallelogram

Mathematics
2 answers:
marysya [2.9K]2 years ago
6 0
>both sides is congruent.
>an angle is supplementary to both of its cosecutive angles 
>both pairs of opposite angles are congruent

HOPE THIS HELPS!!
Arturiano [62]2 years ago
3 0
LMNO is a parallelogram because it has all 4 sides parallel to each other.
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The length of EF in the given triangle is 8.80 m.

Step-by-step explanation:

Step 1:

In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.

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So first we calculate the angle of E and use that to find x.

Step 2:

As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.

sinE = \frac{oppositeside}{hypotenuse}  =\frac{13.6}{16.2} = 0.8395.

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So the angle E of the triangle DEF is 57.087°.

Step 3:

As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.

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Rounding this off to the nearest hundredth, we get x = 8.80 m.

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