3 years ago

Quadrilaterals A and B are similar.

Mathematics

1 answer:

Alenkasestr [34]3 years ago

8 0

Answer:

x = 17.5

y = 5

Step-by-step explanation:

Similar means that corresponding angles (same colors in this case) are the same. Rotate the 2nd figure on the right in your mind until the angle label colors fit the 1st figure, just so you can tell what's what. Then you can create ratios with corresponding sides that include only one of the unknowns. So 1st we use

x/7 = 15/6

x = 15/6 * 7

x = 17.5

and

y/12.5 = 6/15

y = 6/15 * 12.5

y = 5

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A circle has a radius of 6. An arc in this circle has a central angle of 48 degress. What is the length of the arc?

notsponge [240]

Answer: $1.6\pi$

Step-by-step explanation:

If a circle has a radius of 6, then the perimeter of the circle is 12pi, or about 37.68. A circle has 360 degrees. Thus, the arc takes up 48/360 of the circle. Thus, simply multiply $\frac{48}{360} * 12\pi$ to get 5.024 or 1.6pi.