9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Corresponding sides are proportional.
BE/CD = AE/AD
20/(3x+8) = (x-1)/(x-1+27)
20(x+26) = (3x+8)(x -1)
In standard form, this is ...
3x^2 -15x -528 = 0
x^2 -5x -176 = 0 . . . . . . divide by 3
(x -16)(x +11) = 0 . . . . . . . factor
x = 16
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This is the positive value that makes the product zero. x=-11 will also make the product 0, but gives negative segment lengths in the geometry. It is an extraneous solution.
To simplify the expression stated, it is better to write it in the numerical form. The statement is:
<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21
The numerical form is:
12x+36 / (x</span>²-4x-21)
Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)
We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>
You have to do 45 divided by 2. Hopefully there is not tax!
Answer:
12 is the horizontal distance and 16 is the vertical distance
