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evablogger [386]
3 years ago
14

The scale of a map is 4 cm: 15 km. If the distance on the map between two cities is 7 cm, what is the actual distance?

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0

Answer:

26.25 km

Step-by-step explanation:

Step up a portion.  Here, 4 cm is to 7 cm as 15km is to x km

4/7 = 15/x

Now solve for x by cross multiplying

4x = 105

  x = 105/4    (divide by 4 on both sides)

  x = 26.25 km    (simplify)

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\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}

The value of x.

\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}

\longrightarrow{\green{x\:=\: 25° }} 

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}

We know that,

\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}

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\large\mathfrak{{\pmb{\underline{\pink{To\:verify}}{\pink{:}}}}}

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✒ L. H. S. = R. H. S.

\boxed{Hence\:verified.}

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