A trapezoid with area 55 square units is dilated by a scale factor of k. If k is equal to 2/3, find the area of the image.

Answer as a fraction = 220/9

Answer in decimal form = 24.44 approximately

Explanation:

The linear scale factor is k = 2/3.

The area scale factor is k^2 = (2/3)^2 = 4/9

We'll multiply the old area (55) by the area scale factor (4/9) to get the area of the smaller image.

55*(4/9) = 220/9 = 24.44 approximately

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

other answer is correct. i had used the radius of the radius somehow. a website: