Find the value of x in the isosceles trapezoid below?

Mathematics

1 answer:

galina1969 [7]3 years ago

6 0

Answer:

x = 31

Step-by-step explanation:

The sides of an isosceles trapezoid are the same length, so ...

5x -32 = 2x +61

3x = 93 . . . . . . . . add 32-2x

x = 31 . . . . . . . . . . divide by 3

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Answer:

A: -6.5

Step-by-step explanation:

Take two points that we already know are on the line and find the slope

I used:

(4, -10) and (7, -30)

X1 (first x coordinate): 4

Y1 (first y coordinate): -10

X2 (second x coordinate): 7

Y2 (second y coordinate): 30

These appear to be exactly on the graph at a certain point along the line. We can't choose a coordinate pair that isn't on the line at an exact point.

Use (Y2-Y1)/(X2-X1)

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<h2>Answer:</h2>

cylinder

<h2>Step-by-step explanation:</h2>

Archimedes was a brilliant mathematician. This man rose the formula of the volume of a sphere by comparing this shape to a cylinder. The volume of a sphere is hard to calculate by comparing this object to a cube. So Archimedes imagined cutting a sphere into two halves, called hemispheres. So an hemisphere gave him a flat surface, which is easier to work with. Therefore, if he'd find the volume of a hemisphere, then he'd multiply the result by 2 and would get the volume of a sphere. Then he imagined a hemisphere within a cylinder as the one shown below. Also, he imagined a cone within the same cylinder. <em>What did he find? </em>He found that the volume of the hemisphere should be equal to the volume of the cylinder minus the volume of the cone:

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