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Alika [10]
3 years ago
7

What is the value of n? Write your answer as a number only

Mathematics
1 answer:
timurjin [86]3 years ago
8 0

Hey there!

The value of "n" is 10.

Since the lines on the sides represent congruency of those 2 sides, we also know that angle T is equal to angle S. Since a triangle's angles add up to 180°, we can use the following equation, and solve:

180 = 3.5n + 3.5n + 11n       Add the "n"s

180 = 18n                              Divide both sides by 18

10 = n

Hope this helps! Good luck on your assignment! Have a great day!

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Ten times the sum of half a number and 6 is 8
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Even though we don't know the number yet, we need to give it some kind of label
so that we can work with it.  We can call it anything.  I'd like to call it ' G '.

The number we're looking for is ' G '.

Half of it is  1/2 G

The sum of that and 6 is          1/2 G + 6

Ten times that is              10 (1/2 G + 6)

The question says that's 8.
                                        So       10 (1/2 G + 6) = 8

Divide each side by  10 :                1/2 G + 6  =  0.8

Subtract  6  from each side:            1/2 G  =  - 5.2

Multiply each side by  2 :                        G  =  - 10.4

That seems like a weird answer.  We should check it.

The number:                                         -10.4
Half the number:                                   - 5.2
The sum of half the number and 6:      -5.2 + 6 = +0.8
Ten times that sum:                                                  8

Yep !  By golly, sho nuff, dV-dT and E to the X !  
Everything checks out, and the mystery number is      - 10.4

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