Answer:
6. x + x + 14 = 90
2x + 14 = 90
2x = 76
x = 38
angle b = 38 + 14 = 52°
7. angles on a straight line add up to 180°
x + x - 32 = 180
2x = 212
x = 106°
angle d = 106 - 32 = 74°
8. vertically opposite angles are equal
7x - 80 = 3x
-80 = -4x
20 = x
angle 1 = 7(20) - 80 = 60°
angle 2 = 3(20) = 60°
Answer:
216°
Step-by-step explanation:
Both chords are the same length, so the left and right arcs are both 72°. The whole circle is 360°, so:
72° + 72° + x = 360°
x = 216°
To find how much each person will get, you have to divide the amount available by the people. There are 2 ways I believe we can do this.
First way
Let's divide.
2÷9= 2/9
Each person would get 2/9 of a gallon if they shared it.
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Second way
I believe it would be easier to convert this into cups. There are 16 cups per gallon.
16×2= 32
Let's divide that by 9.
32÷9= 3 5/9 cups per person.
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Each person would receive 2/9 of a gallon.
Multiplying fractions is just multiplying the numerators together and the denominators together.
To find out which one is bigger, we need a common denominator. The LCM of 7 and 21 is 21, so convert the first fraction into a denominator of 21. 7 goes into 21 three times, multiply this to the numerator and denominator:
Now just compare the numerators to see which one is bigger.
therefore,
The 90th percentile corresponds to Z ≈ 1.28155.