Answer:
Step-by-step explanation:
Triangle MRN is created by folding an equilateral triangle by half. Since triangle MRN is right triangle, the equilateral triangle must be folded along the height drawn to one side.
In equilateral triangle with side length of a units, the height is 
and the height is greater than half the side because
The leg with length x units has the smaller projection (2 units long) than the leg with length y units has (6 units long).
This means the leg with length y units is the height of the equilateral triangle. If the leg with length y units is the height of the equilateral triangle, then the hypotenuse MN = 8 units is the side of the equilateral triangle and lex with length x units is half the side, so x = 4 units.
By the Pythagorean theorem,
Answer:
80
Step-by-step explanation:
Using this as a guide,
Number of Registered voters = 60
Number of non registered voters = 40
Total number of women in sample is 80
Total number of men in sample is 20
Thus, the expected frequencies for female registered voters
= (80/100)*60
= 48
Expected frequency for female non registered voters is
= (80/100)*40
= 32
Therefore, the total number of females for the expected frequencies is
48+32 = 80
88% = 88/100 = 22/25
22/25 x 350 = 7700/25 = 308
Therefore 308 students voted
Answer:
The equation of the line would be y = -5/2x - 1
Step-by-step explanation:
In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.
5x + 2y = 12
2y = -5x + 12
y = -5/2x + 6
Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 4 = -5/2(x + 2)
y - 4 = -5/2x - 5
y = -5/2x - 1
I believe it is C hope it helps
