M> 1 + m>2 = 90°
x-12 + 5x = 90°
6x - 12 = 90°
6x -12 +12 = 90°+12
6x = 102
6x/6 = 102/6
x = 17

m>1 = x-12
m>1 = 17-12
m>1 = 5

m>2 = 5x
m>2 = 5(17)
m>2 = 85

7 0

2 years ago

The fountain in the pond at the public park near Kevin’s house has a pump that recirculates 75 gallons of water in 1/4 of an hou

il63 [147K]

Answer:

300 gallons an hour

Step-by-step explanation:

If it pumps 75 gallons in 1/4 of an hour (15 minutes), then if you times that by four to make it a full hour (60 minutes). 75 times 4 is 300.

7 0

2 years ago

Jack has 3/4 cup of Tide left in the bottle. Each load of laundry requires 1/6 cup of Tide. How many loads of laundry can Jack w

Novosadov [1.4K]

Answer:

4 1/2 loads

Step-by-step explanation:

3/4 / 1/6 = 3/4 * 6 = 18/4 = 4 1/2

7 0

3 years ago

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly trav

ivann1987 [24]

Answer:

<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>

Step-by-step explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20$

Therefore, the equation is $y=20x$ , which shows a direct proportion between variables.

Now, in 24 hours, it would travel

$y=20(24)=480$

It would travel 480 miles.

Therefore, the right answer is the second choice.

8 0

2 years ago

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