Answer:
Parallel line: - 1/2
Perpendicular line: 2
Step-by-step explanation:
Answer:
132 degrees
Step-by-step explanation:
the angles of measure 2 and 3 have to add up to 180 degrees (because that's the angle of a straight line, which 2 and 3 make together)
180-48=132
Answer:
The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.
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Let the smaller be "x" ; Larger is "2x-6"
EQUATION:
x + 2x-6 = 240
3x= 246
x = 82 (smaller)
2x-6 = 158 (larger)
Step-by-step explanation:
Answer:
The probability of having exactly two girls is 3/8 or 0.375
Step-by-step explanation:
Since the likelihood is equal, the probability of having a boy = probability of having a girl = 1/2
In written form;
P(g) = P(b) = 1/2
We use the Bernoulli approximation to know the probability of having two girls.
Mathematically, that would be;
3C2 P(g)^2 P(b)^1
Inserting the values , we have;
3 * (1/2)^2 * (1/2)
= 3 * (1/2)^3 = 3/8 = 0.375
Answer:
C: 
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
