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3 years ago

6

Please help me solved this since this is a test

1 answer:

Rudiy273 years ago

3 0

Answer:

yea it is c the person in front

of me should get the credit

Step-by-step explanation:

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In the diagram below, we have $ST = 2TR$ and $PQ = SR = 20$. Find the length $UV$.

Maslowich

Answer:

12

Step-by-step explanation:

1. $ST=2TR$ and $SR=20,$ then by segment addition postulate

$ST+TR=SR\\ \\2TR+TR=SR\\ \\3TR=20\\ \\TR=\dfrac{20}{3}\\ \\ST=2\cdot \dfrac{20}{3}=\dfrac{40}{3}$

2. Consider triangles PQU and TSU. These triangles are similar by AA similarity theorem (triangles have congruent vertical angles PUQ and TUS and congruent alternate interior angles PQU and TSU). Similar triangles have proportional corresponding sides, so

$\dfrac{QU}{US}=\dfrac{PQ}{ST}=\dfrac{20}{\frac{40}{3}}=\dfrac{60}{40}=1.5$

$QU=1.5US$

3. Consider triangles QUV and QSR. These triangles are similar by AA similarity theorem. Similar triangles have proportional corresponding sides, so

$\dfrac{QU}{QS}=\dfrac{UV}{SR}\\ \\\dfrac{QU}{QU+US}=\dfrac{1.5US}{1.5US+US}=\dfrac{1.5}{2.5}=0.6$

so

$\dfrac{UV}{SR}=0.6\Rightarrow UV=0.6SR=0.6\cdot 20=12$

7 0

3 years ago

Read 2 more answers

Ben scores 56 out of 79 what is his percentage to the nearest decimal spac

KonstantinChe [14]

89.7% us what I found

5 0

4 years ago

The population of Linton is 12 times as great as the population of Elmore the combined population of both towns is 9,646 people

AleksandrR [38]

9,646/13 (12+1) = 742, 742*12=8,904

Population of Elmore = 8,904
Population of Lintone = 742

enjoy

8 0

3 years ago

Does anyone know the answer to this? If you do please answer!

enot [183]

Answer:

The Y axes

Step-by-step explanation:

4 0

3 years ago

Help ASAP I’ll give brainliest

soldier1979 [14.2K]

Answer:

B

Step-by-step explanation:

<h2>—Math</h2>

–x/4 < 7

–x < 28

x > –28

<em>follow </em><em>my </em><em>account^</em><em>^</em>

4 0

3 years ago

Read 2 more answers