Answer:
x = 14
Step-by-step explanation:
4x° + (3x + 20)° + (3x + 20)° = 180° (sum of interior angles; isocleces triangle)
10x + 40 = 180
10x = 140
x = 14
Answer:
The correct option is;
A. 90 degrees clockwise rotation
Step-by-step explanation:
From the given information, we have;
The coordinates of the pre-image is K(-6, 9)
The coordinates of the image is k'(9, 6) which is similar to a transformation of a pre-image of (x, y) to an image of (y, -x)
The transformation from (x, y) to (y, -x) can be obtained from either;
1) A rotation of 90° (clock wise)
2) A rotation of 270° counter clockwise
Therefore, the correct option that maps K(-6, 9) to K'(9, 6) is a 90 degrees clockwise rotation.
Answer:
3600 gallons of water was removed from the basement.
Step-by-step explanation:
Given:
Rate of each pump = 40 gallons/min
We need to find find the number of gallons of water removed from the basement.
Solution:
Now Given:
After half an hour, the one pump burns out.
Now we know that;
1 hour = 60 mins
hour = 
Now for 30 mins both the pumps were working and removing the water.
So we can say that;
Water remove for first 30 mins = 
Also Given:
the second pump finishes removing the water half an hour later.
So we can say that;
Water removed for next 30 mins = 
Now we can say that;
Total water removed from the basement is equal to sum of Water remove for first 30 mins and Water removed for next 30 mins .
framing in equation form we get;
Total water removed from the basement = 
Hence 3600 gallons of water was removed from the basement.
(-2,2) (0,1)
slope = y1-y2/x1-x2 .... 2-1/-2-0 = -1/2 the answer is C