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3 years ago

Find the midpoint of the segment with the following endpoints. (8,4) and (2,7)

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Answer: The midpoint is (5,5.5)

Step-by-step explanation:

Adding X1 And X2 equals 10. Then the x variables have to be divided which is 10 divided 2 equals 5, the 5 represents the x value of the x part of midpoint. (5,?)

Adding Y1 and Y2 equals 11. Then the y variables have to be divided by 2 which is 11 divided by 2 equals 5.5, the 5.5 represents the y value of the midpoint. (?,5.5)

The final answer is Midpoint = (5,5.5)

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The perimeter of a pool table is 30 feet. The table is twice as long as it is wide. What is the length of the pool table?

olga55 [171]

So, 30 is the perimeter. We are told the table is twice as long as it is wide.

So, we have think of 2 numbers, one being twice as big than the other. So, it is a rectangle The two number represents the length and the width. To find the perimeter we add all the lengths and the widths. Since the pool table is a rectangle we have two lengths and two widths.

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the tow numbers be 10 and 5. 5 is half of 10 and, when multiplied by 2 it is 10. So just to make sure the numbers 5 and 10 work out lets do a calculation.

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Answer:

480 ft

Step-by-step explanation:

The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.

The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.

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