Answer:
Part 1) Option C. Same side interior angles
Part 2) Option A. 
Part 3) Option B. 
Step-by-step explanation:
Part 1) we know that
If p and q are parallel
then
m<3 and m<5 are consecutive interior angles or Same side interior angles
and

Part 2) we know that
-----> by consecutive interior angles (supplementary angles)
we have that


so
substitute

Part 3) Find the measure of angle 5
we know that

Solve for x




substitute the value of x

Total marbles = 5 + 3 + 2 = 10
Total yellow marbles = 2
P(yellow) = 2/10 = 1/5
Answer: 1/5
Answer:
Reason given in step 2. is incorrect. It should read; "Distributive Property."
Step-by-step explanation:
The reason given to go from :
2 (3x +4) = 56 to 6x + 8 = 56
is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.
The correct answer is d.We have the following system of linear equations:
(I)

(II)

Let's use the elimination method, then let's multiply the equation (1)

and subtracting (I) and (II):
(I)

∴

(I)

(II)

____________________
(III)

∴

We can find the value of x by substituting y either in (I) or (II). Thus, from (I):

∴

∴

∴

∴

Let's substitute the values of x and y into (I) and (2)
(I)

(II)

Finally the answer is: