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rusak2 [61]
3 years ago
15

Please help with these

Mathematics
1 answer:
oee [108]3 years ago
3 0

Answer:

A) √29 = x   B)  x = √41.8   C) √109 = x    D) x = √489.24

Step-by-step explanation:

A) 2² + 5² = x²

    4 + 25 = x²

          29 = x²

        √29 = x

B) 3.6² + x² = 7.4²

 12.96 + x² = 54.76

-12.96          - 12.96

              x² = 41.8

              x = √41.8

C) 3² + 10² = x²

    9 + 100 = x²

           109 = x²

          √109 = x

D) 7² + x² = 23.2²

    49 + x² = 538.24

    -49           -49  

            x² = 489.24

            x = √489.24

If these answers are correct, please make me Brainliest!

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Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?
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Answer:

D


Step-by-step explanation:

Similar triangles have corresponding sides that are proportional.

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From the 2 given corresponding sides, AB = 8 and DE = 12, we can figure out their proportionality.

\frac{AB}{DE}=\frac{8}{12}=\frac{2}{3}

<em>So all corresponding sides of the first triangle to the second triangle will have a ratio of 2:3.</em>

So,

\frac{AC}{DF}=\frac{10}{DF}=\frac{2}{3}\\10*3=2DF\\DF=\frac{30}{2}=15

DF = 15

And,

\frac{BC}{EF}=\frac{6}{EF}=\frac{2}{3}\\6*3=2EF\\EF=\frac{18}{2}=9

EF = 9


Answer choice D is right.

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