In quadrilateral ABCD, AE = x + 2, and BE = 3x – 18. For what value of x is ABCD a rectangle? A. 12 B. 10 C. 14 D. 12

In quadrilateral ABCD, m∠ACD = 2x + 4 and m∠ACB = 5x – 11. For what value of x is ABCD a rhombus?

The figure is quadrilateral A B C D with a diagonal drawn from A to C.
A. 4
B. 5
C. 6
D. 7

In quadrilateral ABCD, AE = x + 10, and BE = 3x – 18. For what value of x is ABCD a rectangle?

In quadrilateral ABCD, AE = x + 10, and BE = 3x – 18. For what value of x is ABCD a rectangle?

A. 24
B. 14
C. 18
D. 16

Lucinda wants to build a square sandbox, but she has no way of measuring angles. Explain how she can make sure that the sandbox is square by only measuring length.

A. Arrange four equal-length sides so the diagonals bisect each other.
B. Arrange four equal-length sides so the diagonals are equal lengths also.
C. Make each diagonal the same length as four equal-length sides.
D. Not possible; Lucinda has to be able to measure a right angle.

a = 11 : 4

b = 38

c = 1 for every 6

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !