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Help please .........​

Help please .........​-example-1
User Veproza
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1 Answer

6 votes

Answer:

17. 37 2/7

20. 3.4

Explanation:

17. The scale factor of the smaller triangle PQR to the larger triangle LMN is given by the ratio of corresponding sides:

RP : NL = 18 : 28 = 9 : 14

The perimeter of LMN is the sum of the lengths of its sides:

16 + 14 + 28 = 58

So, the perimeter of PQR is ...

(9/14)×58 = 261/7 = 37 2/7 . . . . units

__

20. By the same reasoning as above, the sides of triangle RQP are 25/40 = 5/8 of those of triangle MNP. Then ...

RQ = (5/8)·MN

5x -2 = (5/8)·24 = 15 . . . . substitute the measures shown

5x = 17 . . . . . add 2

x = 17/5 = 3.4 . . . . . . divide by 5

The value of x is 3.4.

User S Pangborn
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