Find the range of possible values of x. a. 12 < x < 13 b. 3 < x < 12 c. 0 < x < 13 d. 0 < x < 8

0 < x < 13

Step-by-step explanation:

In the given figure, we have two triangles JIG and JHG.

The sides IJ from the triangle JIG and side GH  from triangle JHG are congruent.

Also, since JG is a common side in both of the triangles so they are also equal.

The angle between these two congruent sides (JG and GH) is 35° which is smaller than the angle between the other congruent sides JG and IJ i.e. 59°.

Therefore, the side JH is also smaller than IG which is 13 so:

x < 13

and JH must be greater than zero, so we can write it as:

0 < x < 13

90% rotation

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."