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Ksenya-84 [330]
3 years ago
7

The two triangles are similar.

Mathematics
2 answers:
lukranit [14]3 years ago
6 0

Answer:

X=10

Step-by-step explanation:

The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.

Solve by cross multiplying.

28(3x) = 20(4x+2)

84x = 80x + 40

4x = 40

x=10

Andrei [34K]3 years ago
3 0

Answer:

x=10

Step-by-step explanation:

The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.

\frac{28}{20}=\frac{4x+2}{3x}

Solve by cross multiplying.

28(3x) = 20(4x+2)

84x = 80x + 40

4x = 40

x=10

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The amount of money Sally earns, P, varies directly with the number, n, of necklaces she sells. When Sally sells 15 necklaces, s
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Answer:

Equation: P = 10n

P = 40 when n = 4

Step-by-step explanation:

Given

Direct Variation: P ∝ n

When n = 15, P = 150

Required

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Convert variation to equation

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When P = 150, n = 15 (Substitute these values in the given equation)

150 = k * 15

Divide both sides by 15

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Substitute k = 10 in P = kn

P = 10 * n

P = 10n ------- Equation that relates P and n

When she sold 4 necklaces, n = 4

Substitute n = 4 in the formula above

P = 10 * 4

P = 40

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