Find the value of x
1 answer:
The correct answer is option C: 8
Step-by-step explanation:
We will use the mid-segment theorem of triangle to solve this problem.
We can see that the line which is represented by 2x-9 is the mid-segment of the triangle as it passes from mid-points of two sides of the triangle
The mid-segment theorem states that "Any line that passes through the mid-points of two sides of triangle is parallel to the third side and in length, it is half the length of the third side
In the given figure,
The length of line represented by 2x-9 will be half of 14
So,
Adding 9 on both sides
Dividing both sides by 2
Hence,
The correct answer is option C: 8
Keywords: Triangle, mid-points
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Answer:
The equation is given by:
Step-by-step explanation:
Sine function:
Has the following format:
In which A is the amplitude and is the period.
Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees
This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that
During a 24-hour day, which means that the period is 24. So
So the variation is:
Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.
Initial temperature of 80, so: