Answer:
35 degrees
42 degrees
x = 8 degrees
x = 7 degrees
Step-by-step explanation:
1)
m <1 = 70/2 = 35 degrees
2)
m <1 = 84/2 = 42 degrees
3)
6 + 4 x = (9 x + 4) / 2
12 + 8 x = 9 x + 4
12 - 4 = x
x = 8 degrees
4)
3 x - 1 = x + 13
2 x = 14
x = 7 degrees
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
Answer:
the distance equation is

Step-by-step explanation:
Let's assume
time in hours as 't'
distance traveled as 'd' meters
We are given
Moves 2 meters every 3 hours
So, firstly we find speed


we know that
distance = (speed)*(time)
now, we can plug values

now, we can plug value

So, the distance equation is

Graph:
Answer:
The answer is 1/216
Step-by-step explanation:
The probability of getting a 2 on a six-sided number cube is 1/6 because the number "2" appears on just one out of the six faces.
Since, the probability of getting a 2 in the first throw is independent of the probability of getting a 2 in the subsequent throws, we multiply these probabilities:
P (2, 2, 2) = 1/6 x 1/6 x 1/6
P = 1/216
Answer:
Probability that 10 of them plan to vote against this piece of proposed legislation is 0.0701 or 7.01 %.
Step-by-step explanation:
Consider the event of voting against the piece as success, 'p'. So, voting in favor of the piece is failure and denoted by 'q'.
Given:
Sample size is, 
Probability of failure is, 
Therefore, probability of success is, 
Number of successes is, 
Now, from Bernoulli's distribution, probability of
successes out of
samples is given as:

Here,
. Therefore,

Therefore, probability that 10 of them plan to vote against this piece of proposed legislation is 0.0701 or 7.01 %.