Answer:
9
Step-by-step explanation:
shorter leg = x
longer leg = x + 3
Hypotenuse = x + 6
x² + (x + 3)² = (x + 6)²
x² + x² + 6x + 9 = x² + 12x + 36
2x² + 6x + 9 = x² + 12x + 36
x² - 6x - 27 = 0
(x - 9) ( x + 3) = 0
x = 9 or x = -3 (rejected)
Defining "bisect" is a good first step in figuring this one out; when we say an angle or a line is being "bisected," we mean that it's being split in half, into two equal angles/line segments. Here, the line segment FI seems to be dividing the line segment EG in half, as evidenced by the congruent line segments EF and FG. Notice too that the angle the line forms, ∠EFI, is right. What keyword in those four options has something to do with right angles?
Answer:
17
Step-by-step explanation:
m<1 = (4x + 2)
m<3 = (5x - 15)
To find the value of x, we need to generate an equation.
<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:
m<1 = m<3
(4x + 2) = (5x - 15)
Use this equation to solve for x
4x + 2 = 5x - 15
Subtract 5x from both sides
4x + 2 - 5x = 5x - 15 - 5x
-x + 2 = -15
Subtract 2 from both sides
-x + 2 - 2 = -15 - 2
-x = -17
Divide both sides by -1
x = 17
The answer that is equivalent to that is 8w/3. The most simplified answer.
The answer is d) the mathematical work shown above is correct<span>proof
</span>a+b-2(ab-a) = a+b-2ab+2a = <span>3a+b-2ab
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