Answer:
angle A=72 degrees and angle B= 108 degrees
Step-by-step explanation:
1. the sum of the angles altogether must be 360 degrees
2. the picture shows that the two horizontal lines are the same and that the two vertical lines are the same
3. that means that 3y+27=5y-3
4. solve for y
5. 3y+27=5y-3
6. 27+3+3y=5y
7. 30+3y=5y
8. 30=5y-3y
9.30= 2y
10. 15=y
11. Then solve what each angle is by plugging in y
12. 3(15)+27 and 5(15)-3
13. Remember, the two should equal the same number
14. 72 degrees and 72 degrees
15. 72+72=144
16. The two horizontal lines equal 144 together which means because the whole figure equals 360 degrees, 360-144= the two vertical lines
17. 360-144=216
18. 216 equals the two vertical lines sum put together and since the two lines are equal, we cut 216 in half
19. 216/2= 108
20. each vertical line equals 108 and each horizontal line equals 72 degrees
21. Therefore angle A=72 degrees and angle B= 108 degrees
22. I know this was a lot of info. and I hope I helped you understand it!
Answer:
Step-by-step explanation:
160-20a
first multiply 20 and 8 which is 160.
Then you multiply 20 and a which is 20a
you then simplify and get 160-20a
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10
So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)
Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z
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Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later.
So let's call it A. Let A = 25
Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later
Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later
Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727
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In summary, we found
A = 25
B = 21
C = 39
D = 22.2727
The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)
Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)
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Final Answer: 39
Answer:
0.2 0.5 0.65 1.5 1.13
Step-by-step explanation:
Draw 1/2 shape and just put the divide sign and the draw 1/4.