Find the measure of a central angle that intercepts an arc of 81.5 cm in a circle whose radius is 16.3 cm.

5 rad
16 rad
65 rad

5 rad

Step-by-step explanation:

Recall that the length of an arc of circumference is given by the formula:

, where is the subtended angle [in radians] from the circumference's center.

Therefore in this case, you know the arc length (81.5 cm), and the radius (16.3 cm), and can solve for the angle using the above equation as shown below:

45

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17