Match the given arc or inscribed angle to its measure. 1. x = 38°
2. x = 180°
3. x = 104°
4. x = 84°

x = 38 is for problem A

x = 180 is for problem C

x = 84 is for problem D

x = 104 is for problem B

Step-by-step explanation:

Explanation for problem A: An angle that has endpoints at the endpoints of an arc is equal to half that arcs angle. (example: in problem A the arc measure is 76 meaning that angle x is equal to half of 76 which is 38. you can also see angle x ends at D and C which are the endpoint of the arc as well) This form of thinking using the rule I mentioned in the first sentence is used to solve each of the problems. Also if the arc measure isn't given and you must solve for it do the opposite; times the angle that has the same endpoints as the arc by 2 (example: In problem B angle ∠S has endpoints of Q and R which are also the endpoints of the arc you're looking for (Arc QR) so since an angle that has the same endpoints as an arc is equal to half that arcs measure, in order to get the arc measure you must times the angle by 2.)

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

= 5

step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

= (- 3 × 15 ) + 50 = - 45 + 50 = 5