VWX and NOP are similar triangles. The angle of V is equal to the angle of N, W is equal to O, X is equal to P. The total angle of a triangle is 180. The angle of V = 44. Angle of P = 66, which is just the same angle as X. So we need to find the angle or W, same angle as O.
180 = 44 + 66 + W
W = 180 - 110
W = 70 degrees.
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Slope of the vertical line: undefined
Equation of the vertical line: x=5
f(x)+g(x) = 3x^2-x-4
f(x)-g(x) = 4x^2-7x-4
Foil (2x-6)(5x+1) = 10x^2-28x-6
The roots (zeros) of the parabola are -2 and 3
X-coord for vertex = -1/2
Last problem: s^2 + 4s
This shows that there are 141 men and 21 women in the meeting
Let the number of men present be x
Let the number of women present be y
If the total number of students present in the meeting is 162, hence;
x + y = 162 ............ 1
If there were <u>15 men more than 6 times the women</u>, then;
x = 6y + 15 ...................2
Substitute equation 2 into 1:
6y + 15 + y = 162
7y + 15 = 162
7y = 162 - 15
7y = 147
y = 21
Recall that x = 6y + 15
x = 6(21) + 15
x = 126 + 15
x = 141
This shows that there are 141 men and 21 women in the meeting
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It is 36,39,42,46,51,53. You start by crossing out the ends. You are left with 42 and 46. Add those and divide by 2. That is the answer.