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3 years ago

What is the value of X?

Mathematics

1 answer:

lozanna [386]3 years ago

5 0

since all sides are equal, which means all angles must also be equal to one another

all angles =60°

solving 7x-3=60

7x=63

x=9

similarly 11 y+5=60

11y=55

y=5

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a community bike ride offers a short 5.7 mile ride for children and families. the short ride is followed by a long ride, 5 2/3 t

VLD [36.1K]

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Further explanation

<u>Given:</u>

A community bike ride offers a short 5.7-mile ride for children and families.

The short ride is followed by a long ride, 5²/₃ times as long as the short ride, for adults.

A woman bikes the short ride with her children, and then the long ride with friends.

<u>Question:</u>

How many miles does she ride together?

<u>The Process:</u>

Let us make a pattern for the short ride:

$\boxed{5.7} \rightarrow in \ miles$

Let us do a multiplication on a fraction at first.

$\boxed{ \ = \frac{2}{3} \times 5.7 \ }$

$\boxed{ \ = \frac{2}{3} \times 5\frac{7}{10} \ }$

$\boxed{ \ = \frac{2}{3} \times \frac{57}{10} \ }$

We crossed out 3 and 57.

$\boxed{ \ = 2 \times \frac{19}{10} \ }$

$\boxed{\boxed{ \ = 3.8 \ }}$

Then we make a pattern for the long ride, 5²/₃ (five and two third) times as long as the short ride:

$\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{3.8} \rightarrow in \ miles$

A woman bikes the short ride with her children, and then the long ride with friends. Let's calculate how many miles does she ride together.

The short ride: $\boxed{5.7 \ miles}$
The long ride: $\boxed{(5.7 \times 5) + 3.8 = 28.5 + 3.8 = 32.3 \ miles}$

$\boxed{ \ 5.7 + 32.3 = 38}$

Thus, she rides 38 miles together.

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Keywords: A community bike ride, offers, a short 5.7-mile ride, for children and families, followed by, 5 2/3 times, for adults, a woman, with friends, how many miles, she ride together

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What is the value of X?​

What is the value of X?