What is the measure of X , in degrees?

71°

Step-by-step explanation:

The angle of x and angle of 109, are supplementary, which means when added they are equal to 180 degrees.

109 + x = 180

x = 180 - 109

x = 71

Because segments XY and XZ are of equal length, angle Y and angle Z must be congruent.

All inner angles must add to 180 degrees since it's a triangle.

70+70+x=180

140+x=180

x=40

Step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."