You can clearly see the vertex of the graph in vertex form
The value of x would be 60 degrees
explanation
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the triangle has one missing angle that would be congruent to x since they are corresponding angles which means they are congruent.
We know that the triangle has to add up to 180 degrees. We add the 2 angles and get 120 degrees. We subtract 120 degrees from 180 to find the 3rd missing angle that is congruent to x degrees. 180-120=60 degrees. If 60 degrees is corresponding to x degrees, therefore, x should be equal to 60 degrees.
Hope this helps :)
Answer:
It will take 8 seconds.
Step-by-step explanation:
To solve this, you would put it in ratio form (at least, that's what our class did). So 9 quarts of water in 6 seconds would be 9 quarts/6 seconds. You need to find the unit rate after that, so to find that you'd divide 9 by 6. This would give you 1.5 quarts per second.
Now all you need to do is find out what to multiply 1.5 by to be able to get to 12. The number you get will be how many seconds it takes for the hose to emit 12 quarts.
1.5 x <u> </u> = 12
1.5 x <u> 8 </u> = 12
8 is the number of seconds it takes for the hose to emit 12 quarts of water. To write this in ratio form, it would be
<u>12 quarts</u>
8 sec
(it's supposed to be written like a fraction, but there's no way to do that here.) Hope this helped!
Answer:
29 inches
Step-by-step explanation:
pythagoras theorem : 20^2 + 21^2 = \sqrt{841}
It's 3 because 12/4 = 3
9/3 = 3
