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stiks02 [169]
3 years ago
6

Determine the length of AC and DE, and the value of x.

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0

Answer:

n = 16, AC = 60, DE = 30

Step-by-step explanation:

DE joins the midpoints of 2 sides of the triangle and is half the length of the third side, that is

DE = \frac{1}{2} AC , substitute values

n + 14 = \frac{1}{2} (3n + 12) ← multiply both sides by 2 to clear the fraction

2n + 28 = 3n + 12 ( subtract 2n from both sides )

28 = n + 12 ( subtract 12 from both sides )

16 = n

Then

AC = 3n + 12 = 3(16) + 12 = 48 + 12 = 60

DE = n + 14 = 16 + 14 = 30

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Answer:

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Step-by-step explanation:

Simplifying

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Solving

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Add '-7x' to each side of the equation.

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Combine like terms: 5x + -7x = -2x

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3 years ago
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inysia [295]

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