Maggie is considering two investments. Investment A Investment B Principal $10,000 $8,000 Interest rate 3% 2.8% Time in years 5

Answer: OPTION C.

Step-by-step explanation:

It is essential to consider the following:

Dilation:

• A transformation where the image retains the same shape as the original but differs in size.

• Dilation maintains the order of points.

•  Measurements of angles remain unchanged.

Translation:

• A transformation that keeps the image identical in size and shape to the original.

• Translation preserves the ordering of points.

• The angle measurements do not change.

Consequently, since Square T underwent translation followed by dilation to form Square T'', we conclude that the rationale explaining why they are similar is:

Translations and dilations maintain the order of points; thereby, the corresponding sides of squares T and T″ are proportional.

Answer:

$82.3

Step-by-step explanation:

82 multiplied by 25 equals 2050.

Adding 90 gives 2140.

Dividing 2140 by 26 results in 82.3.

Answer: Option C - Construction Y, as point E serves as the circumcenter of triangle LMN.

Point E is ideal for the warehouse since it maintains equal distances from the three stores located at L, M, and N.

Step-by-step explanation:

To effectively tackle an algebra problem, establishing a geometric illustration frequently proves beneficial. Geometry states that three points define a circle; meaning, there is one unique circle encompassing all three non-collinear points. Identifying the point equidistant from these three points corresponds to finding the circle's center that passes through them (as all points on the circle share equal distance from the center).

Considering our points L, M, and N, draw the segments LM, LN, and MN to outline a triangle. Construct the perpendicular bisectors of any two line segments, and their intersection, point E, will indicate the center of this circle.

As illustrated in Construction Y, E represents the circumcenter of triangle LMN.

This makes it the most suitable place for the warehouse, being equidistant from all three stores at L, M, and N.

QED!