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1 answer:
The slope of given line in simplified form is 4
Further explanation:
Slope is defined as the steepness of any line.
Given
(x1,y1) = (-26,-37)
(x2,y2) = (-32,-61)
The formula of slope is given by:
Putting the values
The slope of given line in simplified form is 4
Keywords: Slope of line, Calculation of slope
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Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:
This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:
Thus, the measure of CF is approximately 13, alternative D.
