Parallel lines has equal slopes.
Equation of the line 2x + y + 1 = 0 in slope intercept form is y = -2x - 1 with slope of -2. Therefore, the slope is -2.
The first person can be chosen in 4 different ways.
The second person can be chosen in 3 different ways.
The third person can be chosen in 2 ways
The last person can only be chosen in 1 way.
4 * 3 * 2 * 1
there are 24 different ways that this can be done.
There is only 1 correct order.
The answer is 1/24 ways. 1/24 = 0.04166666
Answer:
The measure of the third angle is 35°.
Step-by-step explanation:
The sum of the three angles of a triangle is always 180°.
Let the measure of the third angle be x.
∴ 61° + 84° + x = 180°
145 + x =180°
x = 180 - 145
x = 35°
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The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values,
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27
Thus, the sum of the first five terms is approximately equal to 8.96.
