If l is parallel to m, find the value of each missing variable

x = 18

y = 5

Step-by-step explanation:

From the figure attached,

'l' and 'm' are the parallel lines and two transversal lines are intersecting these  parallel lines at points A, B and C.

Since, m∠ABC + (7x - 23)° = 180° [Supplementary angles]

m∠ABC = 180° - (7x - 23)°

m∠BCA = (11y - 1)° [Vertical angles]

m∠BAC = 49°

In ΔABC,

m∠ABC + m∠BAC + m∠CAB = 180°

180° - (7x - 23)° + 49° + (11y - 1) = 180°

-7x + 11y = -71

7x - 11y = 71 ------(1)

Since, sum of consecutive angles is 180°

Therefore, m(∠ABC) + (3x + 49)° = 180°

180° - (7x - 23)° + (3x + 49)° = 180°

-4x = -72

x = 18

From equation (1),

7(18) - 11y = 71

11y = 55

y = 5

here is the

mark brainliest pl

- "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."