Kara travels at a constant speed of 72 miles per 2 hours. At this rate, how far does she travel after 6.5 hours?

Mathematics

1 answer:

dybincka [34]3 years ago

4 0

Answer:

234 hours

Step-by-step explanation:

To find the miles per hour, divide 72 by 2 and that equals 36. So 36 miles every hour. So then do 36 × 6 which equals 216. So this is 216 miles in 6 hours, but you still need 0.5 of an hour, so to find how far she travels in 0.5 of an hour, divide the amount she travels in one hour by two. So 36 ÷ 2 which equals 18. So she travels 18 miles every 0.5 of an hour. Then add 18 to the 216 which equals 234.

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Figure ABCD is a parallelogram. Points X and Y are placed so that BX ≅ DY and CD ⊥ XY.

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A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is D.

<h3>What is a parallelogram?</h3>

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, the opposite sides are equal and parallel to each other. We can write,

AD ≅ BC

Since BX ≅ DY, therefore, we can write,

AB = CD

AX + XB = DY + YC

XB = DY, cancelling both the sides,

AX = YC.

Also, XY is the common side.

Since all the sides are equal also the angle are equal, therefore, it can be written,

AXDY ≅ CYXB

Given the area of CYXB is 71.5 square units. Therefore,

ABCD = CYXB + AXDY