The lines intersect at point C. What is the value of x?
2 answers:
ANSWER
EXPLANATION
The two given angles are
and
These two angles are vertically opposite to each other.
Recall that vertically opposite angles are equal.
We therefore write the equation below and use it to find x.
This implies that,
We group like terms to get,
This implies that
Therefore the correct answer is D.
EXPLANATION
The two given angles are
and
These two angles are vertically opposite to each other.
Recall that vertically opposite angles are equal.
We therefore write the equation below and use it to find x.
This implies that,
We group like terms to get,
This implies that
Therefore the correct answer is D.
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Answer: Average rates of change for Bird A is 0.045 and for Bird B is 3.816.
Step-by-step explanation: Through its graph, a function can be analyzed and be identified its attributes. Average Rate of Change is the ratio of change in the function values to the change of x-value, i.e., it is the slope of the function in a specific interval of x. With the Average it is possible to compare two function.
<u>Average Rate of Change</u>
<em><u>Bird A</u></em>:
For the interval [0,18]:
x₁ = 0 f(0) = 8.3
x₂ = 18 f(18) = 9.1
Average =
Average =
Average = 0.045
<em><u>Bird B</u></em>: y = 3.6(1.06)x
For the interval [0,18]:
x₁ = 0 y = 3.6(1.06)0 = 0
x₂ = 18 y = 3.6(1.06)18 = 68.7
Average =
Average =
Average = 3.816
The Average Rate for Change for Bird A is 0.045 and for Bird B is 3.816. This means that the population of Bird B increase in rate faster than the population of Bird A.