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2 years ago

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Question 10 of 15

1 answer:

AysviL [449]2 years ago

7 0

Answer:

If Angelo can Mow his lawn in 2/3 of an hour or 40 minutes, it means that after 1/2 or 30 minutes 75% of the lawn will be mowed, this is because if he can mow the lawn in 40 and we want to know how much he can mow in 30 minutes this gives us the fraction 30/40 which is also equal to 3/4 or 75%. meaning that the correct picture is the one that shows that 3/4 of the lawn is mowed

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Read 2 more answers

What is x given ABC~DBE.<br> Show your work

alexandr1967 [171]

x = 37.5 (or) $\frac{75}{2}$

Solution:

Given $\triangle A B C \sim \triangle D B E$

AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x

To find the value of x:

Property of similar triangles:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

$$\frac{BE}{BC} =\frac{DE}{AC}$

$$\frac{x}{25+x} =\frac{30}{50}$

Do cross multiplication, we get

$50x=30(25+x)$

$50x=750+30x$

Subtract 30x from both sides of the equation.

$20x=750$

Divide by 20 on both sides of the equation, we get

x = 37.5 (or) $\frac{75}{2}$

Hence the value of x is 37.5 or $\frac{75}{2}$ .

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