Answers:
x = 72
y = 83
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Explanation:
Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.
Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.
Pentagon EFGHD has the following five interior angles
- E = x
- F = 130
- G = 170
- H = 65
- D = 103
Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.
For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.
This means,
E+F+G+H+D = 540
x+130+170+65+103 = 540
x+468 = 540
x = 72
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Now focus your attention on triangle THS
We see that the interior angles are
The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.
For any triangle, the angles always add to 180
T+H+S = 180
y+65+32 = 180
y+97 = 180
y = 180-97
y = 83
Divide number of pounds eaten by the portion of the bag eaten.
= 4 1/2 pounds ÷ 3/4
= 4.5 ÷ 0.75
= 6 pound bag
CHECK:
multiply total pounds of bag by portion eaten
= 6 pound bag * 3/4
= 4 1/2 pounds eaten
ANSWER: The bag was 6 pounds of dog food.
Hope this helps! :)
Answer:
the critical points are (0,0) , (0, 20), (12, 0) , (4,16)
Step-by-step explanation:
To consider the autonomous system
The critical points of the above system can be derived by replacing x' = o and y' = 0.
i.e.
x = 0 or 24 - 2x - y = 0 ----- (1)
Also
y( 20 -y - x) = 0
y = 0 or 20 - y - x = 0 ----- (2)
By solving (1) and (2);
we get x = 4 and y = 16
Suppose x = 0 from (2)
y = 20
Also;
if y = 0 from (1)
x = 12
Thus, the critical points are (0,0) , (0, 20), (12, 0) , (4,16)
Answer:
The answer is 2:3 as the order is different. Simplified the first option is 2:3, the second one: 2:3, the third one 3:2 and the fourth one 2:3
Put the "<" sign as the apples are less
