Answer:
please mark me the brilliant
X should be 3, because the bigger triangle is a typical 5 12 13 triangle, 5 being the hypotenuse of the smaller triangle, and the small triangle being a typical 3 4 5 triangle. With the 4 and 5 side becoming known, x can only be 3 in the 3 4 5 triangle
Answer:
1/6 3/7 2/5 3/5
This is pretty straightforward so why should I provide an explanation.
The value of x that is the length from the edge of the screen to the end of the wall is equal 3. This is derived from an equation which serves as a function of the Area. See the solution below.
<h3>
What is the calculation for the solution above?</h3>
Recall that the area of the entire wall is 40m².
(10-2x) (16- 2x) = 40
Expanding the brackets, we have
160-20x-32x + 4x² = 40
4x² - 52x + 120 = 0
x² - 13x +30 = 0
Using the quadratic equation
x = (-b±√b²-4ac)/2a
Where a = 1
b = 13
c = 30
x = (13 ± 7)/2
Thus x = 10; or x = 3.
x cannot be the answer because it invalidates 16-x<0;
Hence, the correct answer is x = 3
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