THis table gives a few (x, y) pairs of a line in the coordinate plane. x y

48 -30

61 -45

74 -60

What is the x-intercept of the line?

The x-intercept is : (22, 0)

Step-by-step explanation:

Given the table

x                 y

48              30

61               45

74               60

From the table, it is clear that every y value is changing 15 units, and every x is changing 13 units. Hence, it is a straight line.

Hence, we can find the other values of this straight line as well.

so

When the value of y = 15 i.e. (30-15), then the value of x will

be 35 i.e. (48 - 13).

as

y = 30 - 15 = 15, and x = 48 - 13 = 35.

Similarly,

When the value of y = 0 i.e. (15-15), then the value of x will be 22 i.e. (35-13).

as

y = 15-15 = 0, and x = 35 - 13 = 22.

As we know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.

so, as we have checked that when the value of y = 0, then the value of x = 22.

Therefore, the x-intercept is : (22, 0)

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