LAST QUESTION ON MY TEST PLEASE HELP Solve for [x]. Assume that lines which appear tangent are tangent.

x = 8

Step-by-step explanation:

For this question, you can use power of a point, more specifically when two secants intersect in the interior of a circle. From this, you get the equation:

(7 + x)(12) = (10)(2x + 2)

You can simplify and solve:

84 + 12x = 20x + 20

84 = 8x + 20

64 = 8x

x = 8

- "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."

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x