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Alex787 [66]
3 years ago
14

Which of the following best describes triangle TUV and triangle XYZ? Please help!

Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

Option C. Triangle TUV is similar to triangle XYZ

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem, the corresponding angles between triangle TUV and triangle XYZ are congruent, but its corresponding sides are not congruent

therefore

The triangles are similar

so

The ratio of its corresponding sides must be proportional

<em><u>Verify</u></em>

\frac{XY}{TU}=\frac{YZ}{UV}

substitute the values

\frac{6}{3}=\frac{6}{3V}

2=2 ---> is ok

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irakobra [83]

The area of square flake of gold is 53.29 \times 10^{-8} \mathrm{mm}

<h3><u>Solution:</u></h3>

Given that width of square flake of gold is 7.3 \times 10^{-4} millimeter

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Since gold flake is in shape of square, we can use area of square formula

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\begin{array}{l}{\text { Area of a square flake }=\left(7.3 \times 10^{-4}\right) \times\left(7.3 \times 10^{-4}\right)} \\\\ {\text { Area of a square flake }=53.29 \times 10^{8}}\end{array}

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Fiesta28 [93]
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