7. Consider the diagram below. Please find the value of w.
2 answers:
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Let the measure of the unknown angle is x °
Supplementary angles sum up to 180°. So the supplementary angle of x° will be (180 - x)°
According to the given data, measure of x is 40° less than 3 times the measure of its supplementary angle (180 - x). So we can set up the equation for this scenario as:
So the degree measure of the required angle is 125°.
Supplementary angles sum up to 180°. So the supplementary angle of x° will be (180 - x)°
According to the given data, measure of x is 40° less than 3 times the measure of its supplementary angle (180 - x). So we can set up the equation for this scenario as:
So the degree measure of the required angle is 125°.
Answer:
Option D- y > x – 2 and y < x + 1
Step-by-step explanation:
To determine : Which system of linear inequalities is represented by the graph?
Solution : First we examine the graph
The shaded region in purple is drawn using two line
The first line above the origin passing through the points (0,1) and (-1,0)
The equation of line passing through two points is
So, the equation of that line
The second line below the origin passing through the points (0,-2) and (2,0)
The equation of line passing through two points is
So, the equation of that line
Now, to check the system of inequality substitute point (x,y)=(0,0)
First equation
means
Second equation
means
Therefore, Option D is correct.
The linear inequalities of the system is y > x-2 and y < x + 1
Answer:
Dan's car depreciated by 54% after 6 years.
Step-by-step explanation:
Price of a depreciating asset:
The price of a depreciating asset after t years is given by:
In which P(0) is the initial price and r is the decrease rate, as a decimal.
Dan's car depreciates at a rate of 12% per year.
This means that , so
By what percentage has Dan's car depreciated after 6 years?
Relative to the initial value, the value after 6 years is given by:
The value after 6 years if 0.44 of the initial value, that is, there was a depreciation of 100 - 46 = 54%.
Dan's car depreciated by 54% after 6 years.