Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3 and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9

Step-by-step explanation:

From the given question, the following statements and reasons can be matched;

          Statement                                                Reason

1. <1 and <2 are linear pair                               Given

2. <1 and <2 are supplementary                     Linear pair postulate

3. <1 ≅ <2                                                          

4. <1 ≈ <2                                                           Given

5. m<1 = m<2                                                     Substitution POE

6. m<1 + m<2 =                                          Def of supplementary angles

7. 2(m<1) =                                                  Simplify/ Combine like terms

8. m<1 =                                                        Definition of right angle

9. 2(m<2) =                                        

10. g ⊥ h                                                             Def of perpendicular lines

- "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."

m∠a is 90°

m∠b is 40°