3 years ago

Directions: Solve for x.

Mathematics

1 answer:

KonstantinChe [14]3 years ago

7 0

Answer:

x = 6

Step-by-step explanation:

From the given picture,

ΔABC and ΔADE are the similar triangles.

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

$\frac{AB}{AD}=\frac{AC}{AE}$

$\frac{x+18}{x}=\frac{28}{(28-21)}$

7(x + 18) = 28x

7x + 7×18 = 28x

28x - 7x = 126

21x = 126

x = $\frac{126}{21}$

x = 6

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svetoff [14.1K]

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2.4 / 2.4 = 1

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4.8 / 0.6 = 8
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3 years ago

Jack is mowing a lawn that has a shed. needs to know area of lawn to mow. dimensions of yard are 5x by 13 x-4 . she'd are 2x by

Elena-2011 [213]

The diagram of the lawn and the shed is shown below.

The area of the lawn needed to be mowed equals to the area of the yard minus the area of the shed

The area of the yard = $(5x)(13x-4) = 65 x^{2} -20x$
The area of the shed = $(2x)(2x+4)=4 x^{2} +8x$

The area of the lawn = $65 x^{2} -20x-(4 x^{2} +8x)$
The area of the lawn = $65 x^{2} -20x-4 x^{2} -8x$
The area of the lawn = $61 x^{2} -28x$