Consider circle H with a 3 centimeter radius. If the length of minor arc RT is

2

3

π, what is the measure of ∠RST?

Step-by-step explanation:

Please consider the attached graph of circle.

We have been given that circle H has a radius of 3 centimeters. The length of minor arc RT is . We are asked to find the measure of angle RST.

We will use arc length formula to find central angle.

, where theta is central angle in radians.

Upon substituting our given values in arc length formula, we will get:

We know that the measure of inscribed angle is half the measure of central angle.

The measure of angle RST is in radians, we will convert it in degrees as:

Therefore, measure of angle is in radians or 20 degrees.

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

a = 3.14

b = 18

c = 18/5 or 3.6 or 3 3/5

step-by-step explanation: