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3 years ago

I need help it’s homework and idk how to do it

Mathematics

1 answer:

Volgvan3 years ago

3 0

Answer:

x = 40 1/2

Step-by-step explanation:

The hash marks tell you the triangles are similar and the smaller one is 1/2 the size of the larger one. Then x is half the length of the corresponding segment marked 81.

x = 81/2

x = 40 1/2

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You may have to write it as 81/2 or as 40.5. Sometimes the answer needs to be in a particular form.

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4 years ago

The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What

Darina [25.2K]

X = older brother
y = younger brother

Equation 1: x/y = 2/3 ⇒ x = 2y/3
Equation 2: x + 8/y + 8 = 3/4

$( \frac{2y}{3} + 8) / y +8 = \frac{3}{4}$
$(2y + 24)/3 = y + 8 = \frac{3}{4}$
$2y + 24 = 3 (y + 8) = \frac{3}{4}$
$2y + 24 = 3y + 24 = \frac{3}{4}$
$4 (2y + 24) = 3 (3y + 24)$
$8y + 96 = 9y + 72$
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The age of the older brother is 24.

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$x = \frac{48}{3}$
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The age of the youngest brother is 16.

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4 years ago

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