The options for the first drop-down menu:

a) 1.2
b) -1.2
c) -3.6

the options for the second drop-down menu:

a) 1/3 q
b) 3 q
c) -1.2 p
d) (p + q + r)

1. The correct option is b.

2. The correct option is b.

Step-by-step explanation:

It is given that triangle ABC dilated by scale factor 3 and the center of dilation is origin.

Dilation shows the enlargement and compression of the figure. Both image and preimge are similar.

1. The slopes of corresponding sides are same, therefore slope of side AB is equal to the slope of side A'B'. i.e., -1.2. Option b is correct.

2. The corresponding sides are proportional.

multiply both sides by q.

Therefore option b is correct.

heyyy

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."