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11Alexandr11 [23.1K]
4 years ago
12

What is the value of x? Enter your answer as a decimal.

Mathematics
1 answer:
dmitriy555 [2]4 years ago
7 0

Answer:

<h2>x = 67.5 ft</h2>

Step-by-step explanation:

ΔNPM and ΔABM are similar. Therefore the sides are in proportion:

\dfrac{AM}{NM}=\dfrac{BM}{PM}

We have

AM=71.5\ ft-22\ ft=49.5\ ft\\NM=71.5\ ft\\BM=x\\PM=97.5\ ft

Substitute:

\dfrac{49.5}{71.5}=\dfrac{x}{97.5}       <em>cross multiply</em>

71.5x=(49.5)(97.5)

71.5x=4826.25           <em>divide both sides by 71.5</em>

x=67.5

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Find three consecutive integers such that the sum of the first and twice the second is 110 minus three times the third
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First off, consecutive integer and  can be written as n, n+1 and n+2

(try putting a number in for n if it does not make sense yet)

The sum of the first and twice the second would be n+2(n+1)

So, our equation becomes

n+2(n+1)=110-3(n+2)

n+2n+2=110-3n-6

3n+2=104

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so, our three term are 17,18 and 19


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