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Alex17521 [72]
4 years ago
14

In the same diagram of the staircase railing, what is the value of n? (Picture included)

Mathematics
2 answers:
BaLLatris [955]4 years ago
8 0
Hello,

Angle BCH and CHJ are alternate-interior ( and have the same measure)

82+30=3n+7
==>3n=105
==>n=35
AnnZ [28]4 years ago
6 0
Solutions 

We know that Angle BCH and CHJ have the same measures. 

Calculations. 

Solve for variable n 

82+30=3n+7

3n=105

n=35
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Answer:

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Step-by-step explanation:

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Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. Yo
stellarik [79]

Answer:

x = 18

Step-by-step explanation:

First, let's find the ratios between the two triangles

We'll use AV and AC

372 ÷ 589 = 12/19

All of the sides of the smaller triangle are 12/19 of the bigger triangle

Now let's find x

We know that AU + UB = AB

So it's 20x + 108 + 273 = AB

12/19 of a bigger triangle side equals a small triangle side

(12/19)AB = AU

For this equation multiply both sides by 19/12 to isolate AB

(12/19)AB x 19/12 = AU x 19/12

AB = (19/12)AU

Now we have this

20x + 108 + 273 = (19/12)(20x + 108)

20x + 381 = (19/12)(20x + 108)

Distribute the 19/12

20x + 381 = 95/3x + 171

Move all like terms to one side

20x + 381 = 95/3x + 171

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20x + 210 = 95/3x

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Don't forget about common denominators

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Multiply both sides by 3

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Divide both sides by 35

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x = 18

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