Answer:
x = 4 + sqrt(73) or x = 4 - sqrt(73)
Step-by-step explanation by completing the square:
Solve for x:
(x - 12) (x + 4) = 9
Expand out terms of the left hand side:
x^2 - 8 x - 48 = 9
Add 48 to both sides:
x^2 - 8 x = 57
Add 16 to both sides:
x^2 - 8 x + 16 = 73
Write the left hand side as a square:
(x - 4)^2 = 73
Take the square root of both sides:
x - 4 = sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
x = 4 + sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
Answer: x = 4 + sqrt(73) or x = 4 - sqrt(73)
Check attached file for solution.
Answer:
I think it's 2.56
you convert the 8 percent to a decimal and then you times it to 3.20
3.20×.8=2.56 (it's wrong)
Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

Substituting the given expression for each segment in the first equation, we get:

Solving the above equation for x, we get:

Substituting x=10 in the equation for segment EI, we get:

Therefore:

Now, to determine the measure of angle IEH, we notice that:

therefore,

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

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