10 POINTS! Answer ASAP

m5=75 degrees

m11=75 degrees

m16=65 degrees

To find 5, realize angles 5 and 8 equal 180, because they make up a straight line, line d.

180-105=75

To find 11, it is the same as finding 7. Just look at the similar sizes. Angle 7 is the same at angle 5, just turned around. There’s a term for this pair angles that I don’t remember now but it exists. Now, lines a and b are parallel, so their angles between lines that intersect both are the same too. This means, as angle 5 equals angle 7, angle 7 equals angle 11.

To find 16, we use a combination of the methods used in finding the previous angles.

180-115=65 degrees is angle 4

Angle 4=Angle 16

Knowing the two angles given and that lines a and b are parallel, you could find the measurements of every angle in each intersection if you wanted to.

- "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."