Answer:
x=110, y=50
Step-by-step explanation:
Draw a line perpendicular to the base CD from point A. The point of intersection is E. Angle AED=90 degrees. This is a right angle triangle. A triangle has a total angle of 180 degrees. Angle DAE is then 180-(90+70) = 20. The bases of a trapezoid are parallel to each other, making angle EAB a right angle. Add 90 + 20, and you'll get 110 degrees. This is the value of x.
Draw another line perpendicular to the base CD, this time from point B. The point of intersection is F. Angle ABF is 90 degrees. Angle FBC is 130-90=40. Angle BFC is also 90 degrees. You once again find the difference of the numbers from 180. 180-(40+90)=180-130=50. y=50 degrees.
Answer:
c=6 They sold a total of 114 cans
Step-by-step explanation: The ratio is 7:12, so last week, he sold 42 cans, meaning that you need to divide 42 by to get 6 in order to figure out the amount Ellen sold last week. Then do 6 times 12 to get 72 cans sold for Ellen. Add 72 to 42 to get 114 cans sold in total.
Answer:
Within 52 weeks, the amount of water in the two fish tanks will be the same.
Step-by-step explanation:
First, let's make the two equations equal to each other by placing an equal sign.
832 - 5x = 1040 - 9x
Now, that they are equal to each other, we can solve for x.
Okay, so we can move -5x to the other side by adding both sides with 5x.
832 = 1040 - 4x
Then, subtract 1040 from both sides to move it to the other side.
832 - 1040 = -208
-208 = -4x
Lastly, divide both sides by -4 to get the value of x.
-208/-4 = 52
x = 52
Answer:
-15
Step-by-step explanation:
2x-17=-47
2x=-47+17
2x=-30
x=-30/2
x=-15