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Mathematics

2 answers:

stellarik [79]3 years ago

8 0

Answer:

its D. 40

hope that helped you

nevsk [136]3 years ago

6 0

Answer:

D.40°

Step-by-step explanation:

Angle U is congruent to angle S because UR = RS and UT=TS. Through that we now know U is also = 100°. A quadrilateral has to equal 360° degrees so 360°- 120° - 100°- 100° = 40° degrees

T is 40°

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Answer:

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Step-by-step explanation:

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3 years ago

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den301095 [7]

Answer:

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3 years ago

Explain why the triangles are similar then find out the distance represented by x

elena55 [62]

Because the only difference between them is size so the basic form of the shape remains, having corresponding sides in proportion.

<h2>Explanation:</h2>

Two triangles are similar if the only difference between them is size. Put another way, the basic form of the shape remains. If this is true, then:

Corresponding angles are congruent
Corresponding sides are in proportion

Since you didn't provide any graph, I have attached two similar triangles below. As you can see they are right triangles. As we said, corresponding sides of similar triangles are in proportion, so it is true that:

$\frac{9}{3}=\frac{12}{4}=\frac{x}{5}=3 \\ \\ \therefore \frac{x}{5}=3 \\ \\ \therefore x=5(3) \\ \\ \therefore \boxed{x=15}$