We are using a tool that determines the best fit line of the data points given. best fit line is projected to have the minimum standard deviation from the points.
Using the tool, the results are
<span><span>Best-fit values
</span><span>Slope-0.002667 ± 0.0006013
</span><span>Y-intercept6.475 ± 1.112
</span><span>X-intercept2428
</span><span>1/Slope<span>-375.0
Translating these results,
y = -0.00266 x + 6.475</span></span></span>
Answer:
x = 6.6; DE = 16.6
Step-by-step explanation:
Assume the diagram is like the figure below.
1. Calculate the value of x
In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the triangle into two similar triangles.
Thus, ∆CDF ~ ∆FDE, and
2. Calculate the length of DE
DE = 2x + 3 = 2(6.6) + 3 = 13.2 + 3 = 16.2
When reduced, both of these equations are
y=(-2/5)x + 7/5, which means they are the same line and therefor have infinitely many solutions
