Answer:
t
Step-by-step explanation:
The two given angles are vertical angles which mean they are the same:
9x + 72 = 4x + 112
Subtract 72 from bot sides:
9x = 4x + 40
Subtract 4x from both sides:
5x = 40
Divide both sides by 5:
X = 8
Step-by-step explanation:
Given functions are:
h(x) is the product of g(x) and f(x)
Combining like terms
Hence,
Keywords: Functions, product
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Draw an imaginary line from the vertex of angle x to the center of the circle.
This divides the 4-sided polygon into two right triangles. For example, the upper right triangle has an acute angle whose measure is 135 degrees / 2, or 67.5 degrees, and the another acute angle whose measure is x/2.
x/2 and 67.5 degrees are complementary angles, so x/2 + 67.5 deg = 90 deg. Thus, x/2 = 22.5 deg, and so x = 45 deg. (answer)
Answer:
7.5 seconds
Step-by-step explanation:
Thus, the time required for the object to return to its point of departure is 7.5 seconds.
