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2 years ago

Is triangle VUW similar to triangle VXY? If yes, explain how you know. If no, explain why not.

Mathematics

2 answers:

asambeis [7]2 years ago

7 0

Answer:

Yes, because <UVW is congruent to <XVY and <VUW is congruent to <VXY.

Step-by-step explanation:

antoniya [11.8K]2 years ago

5 0

Answer:

Yes, because m<UVW is congruent with m<XVY and m<VUW is congruent with m<VXY

Step-by-step explanation:

we know that

If two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are equal

In this problem

m<VXY=m<VUW ------> by corresponding angles

m<XVY=m<UVW -----> is the same angle

therefore

m<XYV=m<UWV -------> because the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangles VUW and VXY are similar by AA Similarity Postulate------> The three internal angles are congruent

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Will mark brainliest, 60 points

Dominik [7]

Answer:

$\boxed{ \bold{ \sf{ \: 1. \: \: \: \: \: 198}}}$

$\boxed{ \bold{ \sf{2. \: \: \: \: \: - 8}}}$

$\boxed{ \bold{ \sf{ 3. \: \: \: \: \: \frac{64}{343} }}}$

Step-by-step explanation:

1. Given, u = 20 , x = 4 , y = 7 , z = 10

$\sf{ \frac{u}{z} + x {y}^{2} }$

⇒ $\sf{ \frac{20}{10} + 4 \times {7}^{2} }$

⇒ $\sf{ \frac{20}{10} + 4 \times 49}$

⇒ $\sf{ \frac{20}{10} + 196}$

⇒ $\sf{ \frac{20 + 196 \times 10}{10} }$

⇒ $\sf{ \frac{20 + 1960}{10} }$

⇒ $\sf{ \frac{1980}{10} }$

⇒ $\sf{198}$

2. $\sf{4( - 2)}$

Multiplying or dividing a positive integer by any negative integer gives a negative integer

= - 8

3. $\sf{( \frac{4}{7} ) ^{3} }$

⇒ $\sf{( \frac{ {4}^{3} }{ {7}^{3} } })$

⇒ $\sf{ \frac{4 \times 4 \times 4 }{7 \times 7 \times 7}}$

⇒ $\sf{ \frac{64}{343} }$

Hope I helped!

Best regards! :D

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Is triangle VUW similar to triangle VXY? If yes, explain how you know. If no, explain why not.​

Is triangle VUW similar to triangle VXY? If yes, explain how you know. If no, explain why not.