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HarleyQuinn117
07.07.2019 •
Mathematics
Arare first-edition book is currently priced at $200. after one year, the price of the book is anticipated to be 1.15 times the current price of the book. then, one year after that, the price of the book is anticipated to be 1.15 times the price of the book the previous year. if this pattern continues, which of the following graphs represents the price of the book over time? a. graph w b. graph x c. graph y d. graph x
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Ответ:
Answer is Graph Y, NOT Graph W
Ответ:
? = 109°
Step-by-step explanation:
A well labeled diagram is attached for better illustration.
From the diagram,
x = 75° (because they are vertically opposite angles
q = 45° (because they are vertically opposite angles)
The sum of the angles in a triangle is 180 degrees. Therefore
q + x + w = 180
45 + 75 + w = 180
w = 180 - 120
w = 60°
The sum of the angles on a straight line is 180°. It means that
w + 79 + y = 180
60 + 79 + y = 180
y = 180 - 139
y = 41°
y + 68 + r = 180(sum of angles in a triangle)
41 + 68 + r = 180
r = 180 - 109
r = 71°
The angle that we are looking for is z = ?
r + z = 180(sum of angles on a straight line)
71 + z = 180
z = 180 - 71
z = 109°