The members of a rock climbing club can use an indoor rock climbing facility anytime they wish as part of their club membership. As it creates a new budget, the club decides to investigate how often the members use the indoor
climbing facility. Then it will decide whether to increase the budget for this facility. Manuel and Gretchen are in charge
of gathering this information, so they survey the members of the club. Each person will administer the survey to 15
randomly selected members and record how many days in the past month those members used the indoor facility.
Their data is shown in the table.
Comments
Number of Days Member Used Facility Last Month
Manuel
Gretchen
3
22
6
4
8
7
11
8
12
12
8
15
6
10
3
7
10
9
5
6
14
13
9
3
7
8
10
10
8
10

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

hope it !

- "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."

x-3y=4

step-by-step e

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.