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Answer: y = 78</h3>
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Justification #1: Angle x is 78 degrees as these two angles are corresponding angles (congruent due to the parallel lines). We also know that y = x because they are vertical angles. So by the transitive property, y = 78
Justification #2: The parallel lines mean that the alternate exterior angles are congruent, so y = 78 through one step (instead of multiple steps in the prior justification)
Answer:
Step-by-step explanation:
He will actually need to wait for 12 weeks. And that is because if you look at the multiples of 6 and 4 and you'll notice that 12 is the lowest common multiple between them. So you start counting from 6 and 4 at the same time until you notice the LCM of these two numbers then on which ever you number you settle on is how long he will need to wait.
Answer:
37.68 ft^3
Step-by-step explanation:
The parameters used in describing a cone is radius and height
Hence
Radius= 3ft
Height = 2 ft
The volume of a cone is given as

substitute

Hence the volume is 37.68 ft^3
You have to find out what 15% of $78 dollars is. If you have to do this in your head and not on a calculator you can find 10%, then cut that number in 1/2 and add it to the answer. So 10% of $78 is 7.8 so $7.80. You can divide 7.80 by 2 and get 3.9 and add that to 7.8 which is 11.70. So 15% of $78 is $11.70.
Answer:
120 bricks = 10 kg
120 bricks × 10 kg = 1200 kg
1200 kg + 9000 kg = 10200 kg