This is a 45-45-90 triangle.
What is the measure of x?
72
x = [?]

x = 7

Step-by-step explanation:

Since it is a 45- 45- 90 triangle then it is isosceles with the 2 legs congruent, both x

Using Pythagoras' identity in the right triangle

x² + x² = (7 )²

2x² = 98 ( divide both sides by 2 )

x² = 49 ( take square root of both sides )

x = = 7

- "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."