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DaniilM [7]
2 years ago
14

Using the formula R equals D/T where D is the distance in miles R Is the rate T is the time in hours at which rate must you trav

el to cover 212.5 miles in 2.5 hours?
Mathematics
1 answer:
sergejj [24]2 years ago
3 0
R=D/T
R=212.5/2.5
R=85
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Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

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JH=\sqrt{(5-0)^{2}+(1-1)^{2}}=5 and

GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5

Now, mid point of JH=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

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Mid point of GI=(\frac{5}{2},1)

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

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(GI)^{2}=(IJ)^{2}+(JG)^{2}                             (1)

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Substituting these values in (1), we get

5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }

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Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

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2 years ago
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