Provide an appropriate response.Use a compass and straightedge to construct a triangle DEF such that ?DEF ? ?ABC, where triangle ABC is the one shown below.

What will be an ideal response?


Answers will vary. A sample correct response would be as follows.



Start with a line segment DE congruent to AB. Then use the compass to measure off the distance AC, and draw an arc from D of this distance. Similarly, draw an arc of distance BC from E. The intersection of the two arcs yields the third point F of the triangle.

Mathematics

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Solve.If the population of a certain country doubles in 9.37 years, find the growth rate k. Assume that the population increases exponentially.

A. 5.7% B. 3.1% C. 8.2% D. 7.4%

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Identify the polynomial as a monomial, binomial, trinomial, or none of these. Give its degree.-9x2

A. Binomial, degreeĀ -9 B. Binomial, degree 0 C. Monomial, degree 2 D. Monomial, degreeĀ -9

Mathematics

Find the equilibrium point for the pair of demand and supply functions.D(p) = 3100 - 8pS(p) = 2900 + 2p

A. ($40, 2780) B. ($4, 3260) C. ($20, 2940) D. ($8, 3420)

Mathematics

Solve the problem.A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 4 soft drinks for $29.04. The second group bought 5 slices of pizza and 4 soft drinks for $20.40. How much does one slice of pizza cost?

A. $2.88 per slice of pizza B. $2.00 per slice of pizza C. $1.50 per slice of pizza D. $2.38 per slice of pizza

Mathematics