3 years ago

If these two shapes are similar, what is the measure of the missing length n?

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

n = 35 inches

Step-by-step explanation:

Blue Triangle

Longer side = 91

Shortest side = 39

Brown triangle

Longer side = x

Shortest side = 15 in

When you have two triangles that are similar you have to set up your proportion like this

brown long/brown shorter = blue longer / blue shorter

x/ 15 = 91/39 Multiply both sides by 15

x = 91 * 15/ 39

x = 1365 /39

x = 35

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1. (5x - 2) + (2x - 2) + x = $180^{o}$

2. m<J = $113^{o}$

3. m<K = $44^{o}$

4. m<L = $23^{o}$

Step-by-step explanation:

Generally, the sum of angles in a triangle = $180^{o}$ .

So that;

m<J + m<K + m<L = $180^{o}$

(5x - 2) + (2x - 2) + x = $180^{o}$

5x + 2x + x -2 -2 = $180^{o}$

8x - 4 = $180^{o}$

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Thus,

m<J = (5x - 2)

= 5(23) - 2

= $113^{o}$

m<K = (2x -2)

= 2(23) - 2

= $44^{o}$

m<L = x

= $23^{o}$

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