Answer:
125 deg
Step-by-step explanation:
Keep these three rules in mind:
1) A central angle (vertex is the center of the circle) has the same measure as the arc it intercepts.
2) The measure of an inscribed angle (vertex is point on circle) is half the measure of the intercepted arc.
3) Opposite angles of a rectangle inscribed in a circle are supplementary.
110 deg is a central angle.
By rule 1), the arc intercepted by the central angle 110 deg also measures 110 deg.
a is an inscribed angle that intercepts an arc of 110 deg.
By rule 2), the measure of an inscribed angle is half the measure of the intercepted arc.
angle a measures 55 deg.
Rule 3) Angles a and b are supplementary.
a + b = 180
55 + b = 180
b = 125
Answer:
neither even not odd
Step-by-step explanation:
A function is odd if and only if y=f(x) is the same as y=-f(-x). Also a function is said to be even if and only if y=f(x) is the same as y=f(-x).
given our function f(x)=4x^5+8x+2
-f(-x)=-(4(-x)^5+8(-x)+2)
=4x^5+8x-2
also,
f(-x)=4(-x)^5+8(-x)+2
=-4x^5-8x+2
from the above we see that f(x) ≠ -f(-x) and also f(x) ≠ f(-x). We therefore conclude that the function is neither even not odd
Answer:
36
Step-by-step explanation:
Since f(x) varies directly with x, f(x) can be expressed alternatively as \[f(x) = k * x\] where k is a constant value.
Given that f(x) is 72 when the value of x is 6.
This implies, \[72 = k * 6\]
Simplifying and rearranging the equation to find the value of k:
k = \frac{72}{6}
Hence k = 12
Or, \[f(x) = 12 * x\]
When x = 3, \[f(x) = 12 *3 \]
Or in other words, the value of f(x) when x=3 is 36
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