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3 years ago

If Ben bikes 3 miles and then bikes 1,000 yards back toward his starting point, how many yards is Ben from his starting point?

1 answer:

7 0

1 mile = 1760 yds...so 3 miles is (3 * 1760) = 5280 yds

so if he bikes 5280 yds...and then bikes 1000 yds back....then he would be (5280 - 1000) = 4280 yds from the starting point

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NARA [144]

Answer:

$CD = 3$

Step-by-step explanation:

Given

$CD = x$

$BC = 5x - 5$

$BD = 2x + 7$

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

$BD = BC + CD$

Substitute the values of BD, BC and CD

$2x + 7 = 5x - 5 + x$

Collect Like Terms

$2x - 5x - x = -5 - 7$

$-4x = -12$

Divide both sides by -4

$\frac{-4x}{-4} = \frac{-12}{-4}$

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To determine the length of CD;

Substitute 3 for x in $CD = x$

Hence;

$CD = 3$

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