Answer:
30.2
Explanation:
IJ is proportional to MN, which would give us 13/56. Next, JG is proportional to NK, which would give us 7/x. So, 13/56 = 7/x, 13x = 392, x = 30.15, which rounds to 30.2
You need to set up a proportion
Let x = NK
7/13 = x/56 Notice that the longest side of the small trapezoid is the denominator of the fraction on the left. That means that the longest side of the large trapezoid must also be the denominator of that fraction on the right.
Cross multiply
13x = 7*56 Combine the right
13x = 392 Divide by 13
x = 392/13
x = 30.15
NK = 30.15
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