The angles shown below are supplementary: What is the value of x?
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Step-by-step explanation:

supplentary means they add to 180

so you can make the formula 180 = 10x + 80

then solve for x

x = 10

Step-by-step explanation:

Supplementary angles add up to equal 180°

Thus, 10x + 80 = 180

Now that we have identified the equation we solve for x

10x + 80 = 180

step 1 subtract 80 from each side

80 - 80 cancels out

180 - 80 = 100

we now have 100 = 10x

step 2 divide each side by 10

100 / 10 = 10

10x / 10 = x

we're left with x = 10

- "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."