Since this is a equilateral triangle all angles are equal to each other. All angles in a triangle always add up to 180 degrees.
So you would set up your equation like so
3(7x - 3) = 180
The 3 outside the parenthesis resembles the 3 angles.
You equal the equation to 180 since all the angles in a triangle = 180
So distribute the 3
21x - 9 = 180
Add 9 to both sides
21x = 189
Divide 21 on both sides
x = 9
Answer:
4
Step-by-step explanation:
to find the slope from 2 points, you do y2-y1/x2-x1
in this case, it would be -57-(-69)=12
and then x2-x1 is 17-14=3
so, the slope is 12/3 or 4
Answer:
The required probability is 0.55404.
Step-by-step explanation:
Consider the provided information.
The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.
Average error for 7 pages booklet and 5 pages booklet series is:
λ = 0.2×7 + 0.3×5 = 2.9
According to Poisson distribution: 
Where
is average number of events.
The probability of more than 2 typographical errors in the two booklets in total is:

Substitute the respective values in the above formula.



Hence, the required probability is 0.55404.