An angle theta is in if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive x-axis

We know that in standard position, the vertex of the angle should lie at the origin and its initial side is always fix along the positive x- axis. Please see the attached image.

We can see that the vertex of the angle is at the origin O and the initial side OB is along the positive x axis. This is the standard position of an angle.

Therefore, we have

An angle theta is in​ standard position if its vertex is at the origin of a rectangular coordinate system and its initial side coincides with the positive​ x-axis.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

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step-by-step explanation: