Line WX is parallel to line YZ. If m∠XAB = (2x + 16)° and m∠VAW = 138°, find the value of x.

A. 65

B. 69

C. 77

D. 61

Step-by-step explanation:

Since ∠XAB and ∠VAW is a pair of vertical angles then they are congruent

then

m∠XAB = m∠VAW

then

2x + 16 = 138

then

2x = 122

then

x = 61

- "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."