Answer:
Step-by-step explanation:
<h3>#6</h3>
<u>Given equation:</u>
- 4/(x - 3) + 2/(x - 2) = 2
<u>Multiply all terms by (x - 3)(x - 2):</u>
- 4(x - 2) + 2(x - 3) = 2(x - 3)(x - 2)
- 2(x - 2) + (x - 3) = (x - 3)(x - 2)
- 2x - 4 + x - 3 = x² - 5x + 6
- x² - 5x - 3x + 6 + 7 = 0
- x² - 8x + 13 = 0
- x = (8 ± √(8² - 4*13))/2 = (8 ± √12)/2 = (8 ± 2√3)/2 = 4 ± √3
<u>Compare this to the given form to get:</u>
Correct choice is A
Simultaneous Equations
3x + y = 4
5x - y = 22
The signs of the matching values aren't the same so we add the rest of the equations.
8x = 26
Divide both sides by 8 to get x = 3.25
Now substitute back into the first equation.
(3 x 3.25) + y = 4
9.75 + y = 4
Subtract 9.75 from both sides
y = -5.75
Answer:
The nearest whole number is 6,587,302
Consider the picture, and check the choices:
A. The alternate interior angles, are also called Z angles, because of the Z shape they create.
examples of Z angles, are the green angles and purple angles shown in the picture.
They really look identical (congruent)
B.
No: check the green angles in figure 1, and purple angles if figure 2. they are not acute.
C.
No. In each case, we have the same number of acute angles and obtuse angles,
except case3, where the intersecting line, is perpendicular to the parallel lines.
D.
No, by the same reasoning used in part C. Only when the intersecting line cuts the 2 parallel lines perpendicularly, all the angles are congruent.
Answer: A