Identify the correspondence.The two triangles shown below are congruent. List the vertices corresponding to A, B ,and C in order. 

A. X, Y and Z
B. Y,X and Z
C. Z, X and Y
D. Y, Z and X


Answer: D

Mathematics

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Determine an appropriate domain of the function. Identify the independent and dependent variables.A weather balloon of radius r (in meters) is filled with air. The volume V of the balloon is given by the function . Assume the balloon can hold up to 8 m3 of air.

A. D = 
The independent variable is r.
The dependent variable is V.
B. D = 
The independent variable is r.
The dependent variable is V.
C. D = 
The independent variable is V.
The dependent variable is r.
D. D = [0, 8]
The independent variable is r.
The dependent variable is V.

Mathematics

Subtract.(7x5 + 3x7 + 7 + 9x6) - (2 + 6x6 + 8x7 + 9x5)

A. -5x7 + 15x6 + 16x5 + 9 B. 11x7 + 15x6 + 16x5 + 5 C. -5x7 + 3x6 - 2x5 + 5 D. 11x7 + 15x6 + 16x5 + 9

Mathematics

Graph the solution set of the system of inequalities.?x? ? 5y ? 3y ? x2 - 3

A.

B.

C.

D.

Mathematics

Solve the problem.32,000 people attended a ballgame at a stadium that offers two kinds of seats: general admission and reserved. The day's receipts were $232,000. How many people paid $11.00 for reserved seats, and how many paid $5.00 for general admission?

A. Reserved: 20,000 ; general admission: 12,000 B. Reserved: 14,000 ; general admission: 18,000 C. Reserved: 12,000 ; general admission: 20,000 D. Reserved: 18,000 ; general admission: 14,000

Mathematics