39º
80º
110º
141º
Correct answer is B
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles. ∠M = ∠R + ∠N → 141 = 41 + ∠N ∠N = 141 - 41 = 100º ∠QNR = 180 - 100 → 80º
Simplify \(\frac{2-18m^2}{1+3m}\)
2[1+3m]
2[1-3m]
2[1-3m\(^2\)]
2[1+3m\(^2\)]
Correct answer is B
\(\frac{2-18m^2}{1+3m}\) = \(\frac{2[1-9m^2]}{1+3m}\)
\(\frac{2[1-3m][1+3m]}{1+3m}\)
2[1-3m]
75
65
55
45
Correct answer is B
10th number must be over 56 (as it increases the average)
55 x 9 = 495 = sum of first 9 numbers
56 x 10 = 560 = sum of all 10 numbers
560 - 495 = 65 = 10th number
1
\(\frac{3}{4}\)
\(\frac{1}{8}\)
\(\frac{1}{4}\)
Correct answer is C
Girl = \(\frac{1}{2}\)
Blue eyes = \(\frac{1}{4}\)
probability that she will give birth to a girl with blue eyes: \(\frac{1}{2}\) x \(\frac{1}{4}\)
= \(\frac{1}{8}\)
36º
42º
54º
72º
Correct answer is A
The sum of angles in a triangle = 180º
(180 - 108)º = 72º
Isosceles triangle has both two equal sides and two equal angles.
∠OSN = ∠SON = \(\frac{72}{2}\)
= 36º
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