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

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

b

step-by-step explanation: