Answer:
The angles of a parallelogram are 135°-45°-135°-45°
Step-by-step explanation:
we know that
In a parallelogram opposites angles are congruent and consecutive angles are supplementary
Remember that
The sum of a exterior angle and its interior angle is equal to 180 degrees
Let
x ----> the measure of one interior angle of parallelogram
y ----> the measure of the other interior angle of parallelogram
we have that
solve for x

<em>Find the measure of the other interior angle of parallelogram</em>
Remember that consecutive interior angles are supplementary

substitute the value of x

solve for y

therefore
The angles of a parallelogram are 135°-45°-135°-45°
Answer:
x = 45/8
Step-by-step explanation:
8x – 3y = 36
Let y=3
8x – 3*3 = 36
8x - 9 = 36
Add 9 to each side
8x -9+9 = 36+9
8x = 45
Divide each side by 8
8x/8 = 45/8
x = 45/8
Answer: 0.1840
Step-by-step explanation:
The binomial probability formula :-
, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.
Given : The probability of the community favored building a police substation in their neighborhood = 0.64
If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840
Answer:
After 6 months, the interest generated by the investment would be $21.10.
Step-by-step explanation:
To determine the interest that Preston McCord could earn by investing $ 1,400 in an account that pays 3.2% annual interest compounded monthly, leaving said money invested for a period of 6 months, it is necessary to perform the following calculation:
X = 1,400 x (1 + 0.032 / 6) ^ 0.5x6
X = 1,421.10
1421.10 - 1400 = 21.10
Thus, after 6 months, the interest generated by the account will be $ 21.10.
3 months, 96 plus 78x3 = 330 (78x3=234+96) 110X3=330 meaning it is 3 months