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2 years ago

Solve the proportions:

Mathematics

1 answer:

IRINA_888 [86]2 years ago

3 0

<u>Answer:</u>

6. 6.75
7. 27
8. 92/17
9. 49

<u>Step-by-step explanation:</u>

<u>- Question 6 -</u>

9/16 = x/12
=> 16x = 12 x 9
=> 16x = 108
=> x = 6.75

Hence, <u>the value of x in this proportion is 6.75.</u>

<u>- Question 7 -</u>

-3 + x/18 = 12/9
=> -3/18 + x/18 = 4/3
=> x/18 = 4/3 + 1/6
=> x/18 = 8/6 + 1/6
=> x/18 = 9/6
=> x = 9/6 x 18
=> x = 27

Hence, <u>the value of x is 27</u>

<u>- Question 8 -</u>

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, <u>the value of x is 92/17</u>

<u>- Question 9 -</u>

x - 16/x + 6 = 3/5
=> 5(x - 16) = 3(x + 6)
=> 5x - 80 = 3x + 18
=> 2x = 98
=> x = 49

Hence, <u>the value of x is 49.</u>

Hoped this helped.

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