question is above...

Mathematics

2 answers:

butalik [34]3 years ago

6 0

Answer: this isnt the answer but these ads are S****TY dont click on this 1

i can barely see it please send a different picture

Step-by-step explanation:

Dimas [21]3 years ago

5 0

Answer:

sas

Step-by-step explanation:

i think its sas because iy states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle then these two triangles wre congruent

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Why are angles opposite each other when two lines cross called vertical angles?

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3 years ago

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

Maslowich

Answer:

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

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