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nekit [7.7K]
3 years ago
7

Solve for variables and show work please

Mathematics
1 answer:
MArishka [77]3 years ago
6 0

Answer: e = 20, k = 10, h = 25

Step-by-step explanation:

This is an equilateral triangle. It has 3 sides the same, and thus three angles the same. All the angles of a triangle add up to 180, so we can say that the angles of this equilateral triangle have the same value, 1/3 of 180 aka 60. Thus, we can say:

3e = 60 // we can simplify here

(1) e = 20

e + 4k = 60 // if e = 20, then...

20 + 4k = 60

4k = 40

(2) k = 10

k + 2h = 60 // if k = 10, then...

10 + 2h = 60

2h = 50

(3) h = 25

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