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3 years ago

A service station will be built on the highway, and a road will connect it with cray. How long will the new road be?

Mathematics

1 answer:

maxonik [38]3 years ago

7 0

Answer:

46.2 mi is the right answer.

Step-by-step explanation:

In this question we will follow the property of congruence of two triangles.

Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

As we know in the congruent triangles all sides are in the same ratio.

Now we apply the property of the theorem

$\frac{Distance(Alba-Cray)}{Distance(Alba-Blare)}= \frac{Distance(Cray-Service station)}{Distance(Cray-Blare)}$

$\frac{120}{130}=\frac{x}{50}$

$x=50\frac{120}{130}$

x = 46.2 mi

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2 years ago

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To find what the number is, we need to set up proportional fractions.
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To solve for this, we need to cross-multiply the denominator of 8/100 (bottom number, 100) with the numerator of 20/x (top number, 20).

This product equation should look like this:
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Now, we need to cross multiply the numerator of 8/100 (top number, 8) with the denominator of 20/x (bottom number, x).

This product equation should look like this:
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Your final answer is:

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I hope this helps!

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