Chapter 9 - XYZ Custom Plus

9.2 Problem Set
529
Applying the Concepts
Temperature The chart shows the temperatures for some of the world’s
hottest places. To convert from Celsius to Kelvin we use the formula
y 5 x 1 273, where y is the temperature in Kelvin and x is the temperature
in Celsius. Use the formula to answer Questions 51 and 52.
51. The hottest temperature in Al’Aziziyah was 331 Kelvin. Convert
this to Celsius.
52. The hottest temperature in Kebili, Tunisia, was 328 Kelvin. Convert
this to Celsius.
Heating Up
137˚F Al’Aziziyah, Libya
134˚F Greenland Ranch, Death Valley, United States
131˚F Ghudamis, Libya
131˚F Kebili, Tunisia
130˚F Tombouctou, Mali
Source: Aneki.com
160
140
120
100
80
60
40
53. Geometry Two angles are complementary angles. If one
of the angles is 23°, then solving the equation
x 1 23° 5 90° will give you the other angle. Solve the
equation.
54. Geometry Two angles are supplementary angles. If
one of the angles is 23°, then solving the equation
x 1 23° 5 180° will give you the other angle. Solve the
equation.
A
B
Complementary angles
55. Theater Tickets The El Portal Center for the Arts in North
Hollywood, California, holds a maximum of 400 people.
The two balconies hold 86 and 89 people each; the rest
of the seats are at the stage level. Solving the equation
x 1 86 1 89 5 400 will give you the number of seats on
the stage level.
a. Solve the equation for x.
56. Geometry The sum of the angles in the triangle on the
swing set is 180°. Use this fact to write an equation
containing x. Then solve the equation.
x
b. If tickets on the stage level are $30 each, and tickets
in either balcony are $25 each, what is the maximum
amount of money the theater can bring in for a
show?
67° 67°
El Portal
CENTER FOR THE ARTS
TICKET
Stage Level
Seats
$30 00
TICKET
Balcony
Seats
$25 00