Answer: x = 27 degrees
Step-by-step explanation:
ABC and DE are parallel. Angle ABD and BDE are the same because they are corresponding angles. 72 degrees + 2x + 2x = 180 degrees because ADF is a straight line and angles on a straight line add up to 180 degrees. 180- 72 = 108. 4x = 108 degrees, so x = 27 degrees
Answer:
21 units
Step-by-step explanation:
7 units in 5 hours means 14 units in 10 hours which means 21 units in 15 hours.
5x3=15
7x3=21
Answer:
1739.4 cubic feet
Step-by-step explanation:
Remember that the formula for volume of a cone is V=1/3 πr^2 h, where r=radius and h=height.
First solve for radius: r = d/2, 18.7/2 = 9.35. Plug in:
V = 1/3 π r^2 h
= 1/3 π 9.35^2 * 19
= 553.675π
You can either use 3.14 for pi, or plug it into your calculator.
<u>= 1739.4 cubic feet</u>
5.6/8 = 0.7
hope this helps
Answer:
Option D (4, -5)
Step-by-step explanation:
This question can be solved by various methods. I will be using the hit and trial method. I will plug in all the options in the both the given equations and see if they balance simultaneously.
Checking Option 1 by plugging (-4, -5) in the first equation:
-2(-4) + 6(-5) = -38 implies 8 - 30 = -38 (not true).
Checking Option 2 by plugging (-5, 4) in the first equation:
-2(-5) + 6(4) = -38 implies 10 + 24 = -38 (not true).
Checking Option 3 by plugging (1, -6) in the second equation:
3(1) - 4(-6) = 32 implies 3 + 24 = 32 (not true).
Since all the options except Option 4 have been ruled out, therefore, (4,-5) is the correct answer!!!