60 and x are alternate interior angles, meaning they are equal to each other. Since the angle on the left is split into two, that means x + 25° = 60. That means you are correct, x + 35° :).
ANSWER
EXPLANATION
The given expression is;
Change everything to
and
This implies that,
Cancel the common factors,
The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
<h3>What is the
Area of a Trapezoid?</h3>
Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.
Given:
a = 3x + 5
b = x - 2
h = 2x - 5
Thus:
Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)
Area of trapezoid = 1/2(4x + 3)(2x - 5)
Area of trapezoid = 1/2(8x² - 14x - 15)
Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).
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28.5
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