Answer:
B. <Q = <R
Step-by-step explanation:
Angles are related to their intercepted arcs. An intercepted arc is found by finding the arc segment on a circle whose endpoints connect with the segments that make up an angle.
In this case, TQ and SQ make up <Q, so TS is the intercepted arc of <Q. However, TR and SR make up angle <R as well, making TS the intercepted arc of <R as well.
This means that because the angles share an intercepted arc, they are congruent.
Answer:
44
Step-by-step explanation:
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ANSWER

EXPLANATION
The quadratic equation is:

Group variable terms:

Add the square of half, the coefficient of y to both sides.


The LHS us now a perfect square trinomial:

Take square root:


The first choice is correct.
Answer:
nth term = 1 + n(13/4)
Step-by-step explanation:
3n + n/4 + 1
n = 1, 3(1) + (1)/4 + 1 = 4 + ¼ = 17/4
n = 2, 3(2) + (2)/4 + 1 = 7 + ½ = 30/4
n = 3, 3(3) + (3)/4 + 1 = 10 + ¾ = 43/4
n = 4, 3(4) + (4)/4 + 1 = 14 = 56/4
The difference between consecutive terms is 13/4
At n = 1, 17/4 = 1 + 1(13/4)
At n = 2, 30/4 = 1 + 2(13/4)
nth term = 1 + n(13/4)