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2 years ago

What is x? enter your answer as a decimal. WILL ASSIGN BRAINLIEST!

Mathematics

1 answer:

Kamila [148]2 years ago

4 0

Answer:

x = 67.5 ft.

Step-by-step explanation:

The triangles MBA and MPN are similar.

So corresponding sides are in the same ratio.

Therefore x / 97.5 = (71.5 - 22) / 71.5

x / 97.5 = 49.5 / 71.5

x = 49.5 * 97.5 / 71.5

x = 67.5 ft,

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Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which va

solniwko [45]

Answer:

$A = 15$ $B = 20$ $C = 25$

$D = 30$ $E = 40$ $F = 50$

$D = 3$ $E = 4$ $F = 5$

Step-by-step explanation:

Given

Similar Triangles: ABC and DEF

$A = 15$

$B = 20$

$C = 25$

Required

Determine the sides of DEF

No options were given, so I will solve on a general terms.

Since both triangles are similar, then the following relationship exists.

DEF = ABC * n

i.e.

$D = A * n$ $E = B * n$ $F = C * n$

Where

$n = Scale\ Factor$

Assume n = 2.

So, we have:

$D = A * n$

$D =15 *2$

$D = 30$

$E = B * n$

$E = 20 * 2$

$E = 40$

$F = C * n$

$F = 25 * 2$

$F = 50$

Assume $n = \frac{1}{5}.$

So, we have:

$D = A * n$

$D =15 *\frac{1}{5}$

$D = 3$

$E = B * n$

$E = 20 * \frac{1}{5}$

$E = 4$

$F = C * n$

$F = 25 * \frac{1}{5}$

$F = 5$

So, the possible sides are:

$A = 15$ $B = 20$ $C = 25$

$D = 30$ $E = 40$ $F = 50$

$D = 3$ $E = 4$ $F = 5$

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2 years ago

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Answer:

Choice C

Step-by-step explanation:

Using the Pythagorean theorem, you can find that the length of the hypotenuse is:

$\sqrt{3^2+5^2}=\\\\\sqrt{9+25}=\\\\\boxed{\sqrt{34}}$

Hope this helps!

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