The complete question is;
Lourdes is making a frame in the shape of a parallelogram. She adds diagonal braces to strengthen the frame. Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E. The length of D E is (3 y + 6) centimeters, the length of E B is (5 y minus 10) centimeters, and the length of E C is (2 y + 4) centimeters. How long is the brace that connects points B and D? 8 cm 16 cm 30 cm 60 cm
Answer:
60 cm. Option D is the correct answer
Step-by-step explanation:
From the image, the diagonals of the parallelogram bisect each other. Thus;
AE = EC and BE = ED
We are given that;
DE = 3y + 6 cm and BE = 5y - 10 cm, thus;
3y + 6 = 5y - 10
Rearranging, we have;
5y - 3y = 6 + 10
2y = 16
y = 16/2
y = 8 cm
The brace that bisects point B and D is BD. So, BD = BE + DE
So, BD = 5y - 10 + 3y + 6
BD = 8y - 4
Putting 8 for y to obtain;
BD = 8(8) - 4
BD = 64 - 4
BD = 60cm
Answer: $1.95
Step-by-step explanation: 5 quarters = 125 cents 4 dimes = 40 cents 4 nickels = 20 cents and 10 pennies = 10 cents 125 + 40 + 20 + 10 = 195 cents take 100 away to form a dollar and the answer is $1.95
Answer:
x = 3
y = 1
Step-by-step explanation:
(2x + 4y = 10) * 2 = (4x + 8y =20)
4x = 20 - 8y
Plug that into the other equation
(20 - 8y) - y = 11
-9y = -9
y = 1
Plug this value into one of the original equations
2x + 4(1) = 10
2x = 6
x = 3
The volume of a pyramid would be the base area times the height.
Given the height and volume we can find the base ares by dividing the volume by the height.
64 / 16 = 4
The base area is 4 square feet
The answer would be 0.10714 or 3/28 if you wanted to simplify it.