Given:
A figure in which a transversal line t intersect the two parallel lines a and b.
To find:
The measure of the numbered angles.
Solution:
If a transversal line intersect the two parallel lines, then
1. Corresponding angles are equal.
2. Alternate interior angles are equal.
3. Alternate exterior angles are equal.
Now,
(Linear pair)


(Vertically opposite angles)
(Vertically opposite angles)
(Corresponding angles)
(Alternate interior angles)
(Alternate exterior angles)
(Corresponding angles)
Therefore,
.
Answer: 1029
Step-by-step explanation:
Answer:
4. C) 
3. B) 9,6 = the number of points you would increase each hour of studying; 65,8 = your score if you studied 0 hours
2. B) The events have a strong positive linear correlation.
1. C) Find the slope using the slope formula:

Step-by-step explanation:
4. (−7, 10) → 10 = 7 + 3 ☑
(−1, 4) → 4 = 1 + 3 ☑
(0, 3) → 3 = 0 + 3 ☑
(3, −2) → −2 ≠ −3 + 3; 0 ☒
3. You obviously have to plug "0" in for x to get your initial value of 65,8, which represents the minimum value of points you would receive if you never were to study, and of course, the 9,6 is the average score increased for every hour studied.
2. The correlation coefficient is 0,02, which is positive, so this would be the obvious choice.
1. You CANNOT write a linear equation without FIRST finding the rate of change [slope]. You will ALWAYS need the rate of change in order to write any linear equation.
I am joyous to assist you anytime.
Assuming that the probability of boys and girls is equal (in reality slightly more boys than girls are born), the probability is 1/2, simply because the older girl's gender is given and therefore not a part of the probability.
This question comes from the 'boy or girl paradox', a.k.a. the Mrs Smith Problem.