Afarmer is building three triangular pens such that   . if uv > us > sr, which is a true statement? m∠utv = m∠uts = m∠str m∠utv < m∠uts < m∠str m∠uts  > m∠utv > m∠str m∠utv > m∠uts > m∠str

Statement 4 is correct .i.e., m∠UTV > m∠UTS > m∠STR

Step-by-step explanation:

Given: UV > US > SR.

To find: Correct Statement

We use property of triangle which states that In a triangle, the side opposite to larger angle is longer.

So, UV > US

⇒ m∠UTV > m∠UTS (1)

Also, since US > SR,

⇒ m∠UTS > m∠STR (2)

Thus from equation (1) & (2), we get

m∠UTV > m∠UTS > m∠STR

Therefore, Statement 4 is correct .i.e., m∠UTV > m∠UTS > m∠STR

- "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."