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erastova [34]
3 years ago
6

What is the length of PR?

Mathematics
2 answers:
OlgaM077 [116]3 years ago
5 0

5/x=15/21=

15x=105

x=7

11111nata11111 [884]3 years ago
4 0

Hi!

So we need to know how much smaller ΔPQR is than ΔDEF.

See line DE compared to PQ. PQ is 3 times smaller than DE. That means ΔPQR is 3 times smaller than ΔDEF.

So to find the length of PR, divide DF by 3.

21/3 = 7

x=7

Hope this helps! :)

-Peredhel

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Johnny spend 1/7 of his income on Food, 1/10 of his income on gas, and 3/8 of his income on rent. What percentage of his income
Agata [3.3K]

Answer:

  38.2%

Step-by-step explanation:

1/7 ≈ 14.29%

1/10 = 10.00%

3/8 = 37.50%

The total that Johnny has allocated for food, gas, and rent is ...

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So, the remaining amount is ...

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About 38.2% of Johnny's income remains.

7 0
2 years ago
A biker rode 45 miles in 180 minutes. At what speed (in miles per hour) was the biker travelling? A. 4 B. 17 C. 9 D. 12
Anastasy [175]

Answer:

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Step-by-step explanation:

Given:

Distance covered by biker = s=45 miles

time taken by him = t=180 minutes

TO Find:

speed in miles per hour = v = ?

Solution:

As it is given that the distance covered is 45 miles

and time taken by him is 180 minutes

as one hour have 60 minutes

so time taken by rider = t = 180 /60

                                          = 3 hours

this step is done because we have to find speed in miles per hour

Now

The formula for finding the distance is

distance = speed * time

or

s = v * t

we have to find v

so dividing both sides by t

\frac{s}{t} = \frac{v*t}{t}

it becomes

v = \frac{s}{t}

Putting the values

v = \frac{45}{3}

solving it gives

v = 15 miles / hour

which is the required speed

in the given options it is not available


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Step-by-step explanation:

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