∠jkl and ∠rst are complementary. m∠jkl = 36° and m∠rst = (x + 15)°. find the value of x and the measure of ∠rst.

The value of x is 39 and the measure of angle RST is 54 degree.

Step-by-step explanation:

It is given that the angle JKL and angle RST are complementary angle.

If two angle are complementary angles, then their sum must be 90 degree.

Since the angle JKL and angle RST are complementary angle, therefore

Therefore the value of x is 39.

Therefore the measure of angle RST is 54 degree.

- "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."

step-by-step explanation:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without