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
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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.