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ludmilkaskok [199]
3 years ago
5

What is the solution to the equation 5 x + 2 x = 24 − 4 ( x − 5 ) ?

Mathematics
1 answer:
BaLLatris [955]3 years ago
5 0
5x + 2x = 24 − 4 (x−5)

5x + 2x = 24 + (−4)(x)+(−4)(−5)

5x + 2x = 24 + −4x +20

(5x +2x) =(−4x) +(24 +20)

7x= −4x + 44
+ 4x + 4x

11x/11 = 44/11

Answer : x = 4
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9514 1404 393

Answer:

  72

Step-by-step explanation:

The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:

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This ratio, or scale factor, also applies to the perimeters of the two triangles.

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Using the given expressions for the perimeters, we have ...

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We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.

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  28x +8 = 30x -12 . . . . . eliminate parentheses

  20 = 2x . . . . . . . . . . . add 12-28x to both sides

  10 = x . . . . . . . . . . . divide both sides by 10

The perimeter of ΔNPQ is ...

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The perimeter of triangle NPQ is 72 units.

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