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3 years ago

Are lines a and b parallel, and if so, why?

Mathematics

1 answer:

photoshop1234 [79]3 years ago

5 0

B) Yes. Corresponding angles are congruent.
It's B, because they're across from each other, and if they were to extend into eternity, they would not touch.
Hope this helps!!!:)

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pickupchik [31]

Answer:

Step-by-step explanation:

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3 years ago

1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

Part 1) A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

the answer part 1) is

The area of the circle is $1,215.18\ yd^{2}$

Part 2) What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

Find the area of the circle

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

Find the area of the sector

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

4 years ago

Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form. - 7/9, - 2/9 The d

Nesterboy [21]

The distance between the two points on the number line is of $\mathbf{\frac{5}{9}}$ units.

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The distance between two numbers on the number line is given by the subtraction of the greater by the smaller number.
The greater number is $-\frac{2}{9}$
The smaller is $-\frac{7}{9}$ .
The distance is: