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kotegsom [21]
3 years ago
7

The scale on a map is 1 inch = 14 miles. The measurement between two cities on the map is 7 inches. What is the distance between

the two cities?
Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0

Given:

The scale on a map is 1 inch = 14 miles.

The measurement between two cities on the map is 7 inches.

To find:

The actual distance between the two cities.

Solution:

We have,

1 inch = 14 miles

Multiply both sides by 7.

7×1 inch = 7×14 miles

7 inch = 98 miles

The measurement between two cities on the map is 7 inches and using the given scale, we get 7 inch = 98 miles.

Therefore, actual distance between the two cities is 98 miles.

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NARA [144]
JKL is similar to PQR

so they want PR 

JKL is similar to PQR

So PR is similar to JL

And they also give us the sides KL and QR

JKL is similar to PQR

Both of those sides are similar, so we can form a proportion.

\sf { \frac{PR}{JL} =  \frac{QR}{KL} }

Plug in the numbers:

\sf { \frac{PR}{6} = \frac{15}{9} }

Cross multiply:

\sf{ PR \times 9 = 6 \times 15}

Isolate PR

\sf{ PR = \frac{6 \times 15}{9}}

Simplify it

\sf{ PR = 10}

So your final answer is

\boxed{\bf{10 centimeters}}
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