Work out the size of angle x.

image included

x = 105°

General Formulas and Concepts:

Geometry

Step-by-step explanation:

If the 2 lines are parallel, which they are, we can use specific theorems to help us solve for different angles.

Here, we see that we will use the Corresponding Angles Theorem. According the the theorem, this will allow us to find our value for x.

Step-by-step explanation:

x° = 105°

Angles are corresponding  

81 seats

step-by-step explanation:

if you multiply 0.65 times 125 then you get 81.5 seats. well since you can't have half of a seat you have to round down and get 81 seats in the no children zones. that leave 44 seats outside of the no children zone.

- "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."