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.
The common difference is essentially what u need to add to one number in the sequence to get the next
So previous number + common difference = next number after that
The common difference would be -8
Answer:
x = ⅘
Step-by-step explanation:
For clarity, exponents should be marked with a ^. 25x² can be written as 25x^2.
25x² = 16
divide both sides by the 25
x² = 16/25
take the square root of both sides
x = √(16/25) = √16/√25 = 4/5
Answer:
Step-by-step explanation:
Since Gloria cannot pay for each minute talked but for packages of 200 minutes at the rate of $25 each, we have to make calculations according to these conditions as follows:
Month 1:
Gloria talked on her cell phone for . So, she had to buy 2 packages of for each package.
Hence:
Month 2:
Gloria talked on her cell phone for . So, she had to buy again 2 packages of for each package.
Hence:
Month 3:
Gloria talked on her cell phone for . So, she had to buy 3 packages of for each package.
Hence:
Then, if we take the total Gloria had to pay for the frist three months, we have:
Answer:
2/3
Step-by-step explanation: