kristasearles
kristasearles kristasearles
  • 22-02-2018
  • Mathematics
contestada

(18) I did x-3/16 = 2.5/4
40 = 4x - 12
28 = 4x
x = 7

18 I did x316 254 40 4x 12 28 4x x 7 class=

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jimthompson5910 jimthompson5910
  • 22-02-2018
See the attached image to have a look at how the corresponding sides pair up
The red sides pair up to form the ratio (x-3)/2.5
The blue sides pair up to form the ratio 8/2
The similar figures mean that the two ratios are equal

(x-3)/2.5 = 8/2
2(x-3) = 2.5*8
2x-6 = 20
2x = 26
x = 13

Side note: Solving 40 = 4x-12 should lead to 52 = 4x which means x = 13. You subtracted 12 from both sides instead of adding 12 to both sides.

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