What is the measure of ac ?

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°

Step-by-step explanation:

We know that, the inscribed angle theorem says that the measure of an inscribed angle is exactly half the measure of its intercepted arc.

In the given picture , the inscribed angle = (2.5x+4)°

The intercepted arc = (7x-2)°

Then by inscribed angle theorem , we have

Now, the measure of

Hence, the measure of arc AC

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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