Answer:
As per the properties of parallel lines and interior alternate angles postulate, we can prove that:
Step-by-step explanation:
<u>Given:</u>
Line y || z
i.e. y is parallel to z.
<u>To Prove:</u>
<u>Solution:</u>
It is given that the lines y and z are parallel to each other.
are <em>interior alternate angles </em>because lines y and z are parallel and one line AC cuts them.
So, 
..... (1)
Similarly,
are <em>interior alternate angles </em>because lines y and z are parallel and one line AB cuts them.
So, 
...... (2)
Now, we know that the line y is a straight line and A is one point on it.
Sum of all the angles on one side of a line on a point is always equal to 
.
i.e.
Using equations (1) and (2):
We can see that:
<em>Hence proved.</em>
Answer: A
solve the first equation for y
4x + y = -12
subtract both sides by 4x
y = -4x - 12
Answer:
15(4)(3), 12(15),
Step-by-step explanation:
Answer:
Step-by-step explanation:
nth term = 3n+2
a) first term = 3+2 = 5
Second term = 3(2)+2 = 8
Third term = 3(3) +2 = 11
b) tenth term = 3(10)+2 = 32
Alright well if you pulled out a blue marble on the second go then you can make the connection that you had originally pulled out a black marble on the first go.
so the probability of pulling out a blue marble on the second go is 13/52
"13" is the original number of blue marbles added after selecting the black marble
"52" is me simply add up all the marble in the bag..the 14 red marbles, 26 black marbles minus the 1 pulled out and not replaced so now its 25 and the 13 blue marbles added last.<span />
