James wants to tile his floor while using tiles in the shape of a trapezoid. to make the pattern a little more interesting he has decided to cut the tiles in half along the median. the top base of each tilt is 15 inches in length and the bottom base is 21 inches. how long of a cut will john need to make so that he cuts the tiles along the median? a: 18 inches b: 3 inches c: 36 inches d: 6 inches

the answer is A. 18 inches

A:18 inches

To solve this, we just need to find the length of the median of the trapezoidal tiles. Remember that the length of the median of a trapezoid is half the sum of the length of the bases.

We know from our problem that the bases of our trapezoid are 15 inches and 21 inches long, so the median of our trapezoid is:

We can conclude that John will need to cut 18 inches so he cuts the tiles along the median.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: