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sergeinik [125]
2 years ago
15

It takes Wayne 1/10 hours to walk a 1/6 mile park loop. What is Wayne's unit rate, in miles per hour

Mathematics
1 answer:
olchik [2.2K]2 years ago
5 0
To solve this problem, we should set up a proportion, letting x represent our unknown number of miles that Wayne walks in one hour.

1/6 mile / 1/10 hours = x miles / 1 hour

Now we use cross-products or the multiplication of the numerator of one fraction times the denominator of the other fraction, setting these two numbers equal.  The resulting equation is:

1/6 = 1/10x

Finally, we must divide both sides by 1/10 to cancel it out on the right side of the equation and get the variable x alone.

x = 5/3 or 1 2/3

Therefore, Wayne walks 1 2/3 miles per hour.
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Given: EL- tangent, EK- secant <br> Prove: EJ·LK = EL·LJ
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Answer:

This is possible.

Step-by-step explanation:

We can say that m<E=m<E, because of the Reflexive Property

Then, we have angles JKL and ELJ, which are equal through the peripheral angle theorem.

With these two angles, we can say that triangles ELK and EJL are similar, by the Angle-Angle Postulate (AA).

Then we can create this ratio through the Corresponding Parts of Similar Triangles Theorem, (CPST), \frac{LK}{LJ} =\frac{EL}{EJ}.

With this ratio, we can cross multiply to get the desired result

EJ·LK=EL·LJ

Hope this helps with your RSM problem

Yup, i caught ya.

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Whitepunk [10]
Given that mean=56.1 and standard deviation=8.2, P(x>67.5) will be found as follows:
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