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3 years ago

* GEOMETRY please help me show the work for 9, 10, and 11!!

Mathematics

1 answer:

KiRa [710]3 years ago

5 0

9) Diagonals of a parallelogram bisect each other, so KN=NM. Thus, KM=13.5+13.5=27 cm

10) Opposite sides of a parallelogram are congruent, so LM=KJ=17 cm

11) Based on Question 9, MN=13.5 cm

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See below for the solution to the questions

<h3>The parallel side of the trapezoid</h3>

The given parameters are:

Area = 138

a = 4x - 1

b = x - 4

Height = 12

The area is calculated as:

Area = 0.5 * (a + b) * height

So, we have:

0.5 *(4x - 1 + x - 4) * 12 = 138

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Recall that:

a = 4x - 1 = 4 * 5.6 - 1 = 21.4

b = x - 4 = 5.6 - 4 = 1.6

Hence, the short base length is 1.6 meters and the long base length is 21.4 meters

<h3>The largest angle in the triangle</h3>

The sides are given as:

x = 22

y = 24

z = 25

The largest angle always opposite the largest side.

This means that the largest angle is Z

<h3>The Circumference</h3>

The radius is given as:

r = 29

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$C = 2\pi r$

So, we have:

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The measure of the arc is given as:

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So, we have:

$m\angle LIK = \frac{69^o}2$

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Hence, the measure of the angle is $m\angle LIK = 34.5^o$