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charle [14.2K]
2 years ago
5

Solve for DG. Show all work

Mathematics
2 answers:
Dominik [7]2 years ago
7 0

Answer:

<h2><u><em>DG = 30 units</em></u></h2>

Step-by-step explanation:

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

<h2><u><em></em></u></h2>

FC : CE = DG : ED

24 : 32 = x : 40

x = 24 * 40 : 32

x = 960 : 32

x = 30

<u><em>DG = 30 units</em></u>

<u><em></em></u>

<u><em>------------------------------</em></u>

<h2>check</h2>

24 : 32 = 30 : 40

0.75 = 0.75

<u>The answer is good</u>

Arlecino [84]2 years ago
5 0

32/40 = 24/dg

32dg = 40 x 24

32dg = 960

dg = 960/32

dg = 30

Answer: DG = 30

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