Given lines l, m and n are all parallel and cut by two transversal lines, find the value of x.
1
8
4
m
38
X
п

x = 19

Step-by-step explanation:

l, m and n are the parallel lines.

Two transversal lines are intersecting these parallel lines.

By Intercept theorem,

Lengths of intercepts between the parallel lines are proportional.

x =

x = 19

Therefore, x = 19 will be the answer.

- "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."

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol