Question

Solve for DG. Show all work

Answer 1

DG = 30 units

Explanation:

these are 2 similar triangles, so we can solve with an equation

FC : CE = DG : ED

24 : 32 = x : 40

x = 24 * 40 : 32

x = 960 : 32

x = 30

DG = 30 units

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check

24 : 32 = 30 : 40

0.75 = 0.75

The answer is good

Answer 2

32/40 = 24/dg

32dg = 40 x 24

32dg = 960

dg = 960/32

dg = 30

Answer: DG = 30