Answer:
1) x = 60° ; y = 70°
2) x = 50° ; y = 80°
3) x =110° ; y = 60°
4) x =60° ; y = 90°
Step-by-step explanation:
1)
We have to find the interior angle y
= 180 - 120
= 60°
Now we have to find x
=180 - (60 + 50)
= 180 - 110
= 70°
2)
We know that opposite angles are equal
So therfore y = 80°
x = 180 - 80 + 50
x = 180 - 130
x = 50°
3)
According to the figure we see that x+y=180
Exterior angle = sum of two interior angle
So, x = 50 + 60
x = 110°
Now we substitute in the x value
x + y = 180
110 + y = 180
y = 180 - 110
y = 70°
4)
Opposite angles are equal
x = 60°
The figure is a right angle triangle
So,
y =90°
Answer:
D, infinitely many solutions
Step-by-step explanation:
1. multiply out
5(x-3) = 5x-15
2. combine like terms
5x-15-3x=8x-15-6x = 2x-15=2x-15
they are equal so there are infinite solutions.
Answer:
1/6
Step-by-step explanation:
P(8) = number of 8's / total = 1/3
Then keeping the card so we have 7 and 9
P(7) = number of 7's / total = 1/2
P(8, keep, 7) = 1/3 * 1/2 = 1/6
Answer:
- 0.25|h -1600| -400
- 1000
- 2200
Step-by-step explanation:
Once again, you can choose the correct equation by finding the one that gives d=0 for h=0. (Note that the problem statement requires the independent variable to be h, not x.)
Then you can use that equation to find h for d=-250:
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600|
600 = |h -1600|
This resolves to two equations:
- -600 = h -1600 . . . ⇒ . . . h = 1000
- 600 = h -1600 . . . ⇒ . . . h = 2200
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Or, you can realize the distance from the west end is 4 times the depth. At a depth of 250 ft, that distance is h=1000 ft. That is 600 ft from the center, so 1200 ft from the same depth on the other side of the crater, which is at h=2200 ft.
Answer:
12% = 0.12
Percent means 'per 100'. So, 12% means 12 per 100 or simply 12/100. If you divide 12 by 100, you'll get 0.12
