In circle d, angle adc measures (7x + 2)°. arc ac measures (8x - 8)°. what is the measure of ? 36° 43° 72° 144°

72°

explanation:

the measure of a central angle is the same as the measure of the intercepted arc.

since the circle is named circle d, this tells us that d is the center of the circle.   this makes ∠adc a central angle.

this means that m∠adc = mac.

we set up the following equation:

7x+2 = 8x-8

we want to cancel one of the terms with x; subtract 7x from each side:

7x+2-7x = 8x-8-7x

2 = x-8

add 8 to each side to cancel it:

2+8 = x-8+8

10 = x

since x = 10, this makes m∠adc = 7x+2 = 7(10) + 2 = 70 + 2 = 72.

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;