AnswersMathematics IIIMathematical Modeling: Part Four

Practice Test Answers

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1
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How can you decompose the composite figure to determine its area?

A
as a semicircle, a hexagon, and a rectangle
B
as a circle, six triangles, and a rectangle
C
as a semicircle, a pentagon, and two triangles
D
as a circle, two trapezoids, and a rectangle
3

What is the missing reason in step 5?

A
diagonals of a kite are congruent
B
corresponding parts of similar triangles are congruent
C
corresponding parts of congruent triangles are congruent
D
adjacent sides of a kite are congruent
6

The more people living in an area, the more likely it is that public buses will be used. City A has a population of 51 comma 242 and covers an area of 89 point 2 2 mi squared City B has a population of 50 comma 178 and covers an area of 8 point 1 2 mi squared Which statement about use of public buses in the cities is most likely true?

A
The residents of City A are more likely to use public buses because their city has a greater population density.
B
The residents of both cities are equally likely to use public buses because both population densities are about the same.
C
The residents of both cities are unlikely to use public buses because both population densities are too high.
D
The residents of City B are more likely to use public buses because their city has a greater population density.

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Practice Test Answers — Mathematics III