Help i need the answer by 10am December 23 Show all work please!!

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Simon:         55     hours

Alvin:           70     hours

Theodore:  159   hours

Total:         284  hours

Step-by-step explanation:

Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.

We are told that:

A = S + 15,

T = 3S - 6

and

A + S + T = 284

Note that the first two equations state the value of A and T in terms of S.  Let's use them in the third equation, so that we'll have only one unknow:

A + S + T = 284

(S + 15) + S + (3S - 6) = 284

5S + 9 = 284

S = 55

Now use this value of S in the first two equations to find A and T:

A = S + 15

A = 55 + 15

A = 70

T = 3S - 6

T = 3*55 - 6

T = 159

(55 + 70 + 159) = 284

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

10000

step-by-step explanation: divide by 2,