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earnstyle [38]
3 years ago
12

John runs 15 miles in 3hours. how many miles can john run per hour

Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

Answer:

5 miles an hour

Step-by-step explanation:

15 divided by 3

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Given:• PQRS is a rectangle.• mZ1 = 50°Р21SRWhat is mZ2?130°85°70°65°
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To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.

Now, we have to recall that:

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- also the sum of all the angles in any triangle is 180 degrees

Now, considering the isosceles triangle OQR, we have that:

\angle OQR+\angle ORQ+\angle ROQ=180^o

Now, since the figure already shows that angle m\angle2+\angle ORQ+50^o=180^oNow, since we have established that the base angles m\angle2+m\angle2+50^o=180^owe can now solve the above equation for m<2 as follows:

\begin{gathered} m\angle2+m\angle2+50^o=180^o \\ \Rightarrow2m\angle2+50^o=180^o \\ \Rightarrow2m\angle2=180^o-50^o \\ \Rightarrow2m\angle2=130^o \\ \Rightarrow m\angle2=\frac{130^o}{2}=65^o \end{gathered}

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7 0
1 year ago
A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles 3:4; but today the greedy h
poizon [28]

The weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4

<h3>What is the ratio?</h3>

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

A greedy hamster hoarded 2 piles of sunflower seeds. Yesterday the ratio of the seeds in these piles was 3:4

Let 3x and 4x are the seeds from the smaller and bigger pile.

= 4x + 2  (greedy hamster placed another 2 pounds of seeds in the bigger pile)

= 3x - 1/4 (ate 1/4 pound from the smaller pile)

4x + 2 = 5x

Because the quantities of seeds in those piles is in the ratio of 5:16

After solving:

x = 2

Smaller pile weight = 3x = 3(2) = 6

Bigger pile wieght = 4x = 4(2) = 8

Thus, the weight of each pie will be 6 and 8 pounds respectively if the ratio of the seeds in these piles 3:4

Learn more about the ratio here:

brainly.com/question/13419413

#SPJ1

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