Answer:
Question #1
m∠4 + m∠7 = 180° - Given.
∠4 and ∠7 are supplementary angles - Definition of supplementary angles.
∠7 and ∠2 form a linear pair - Definition of linear pair.
∠7 and ∠2 are supplementary angles - Definition of linear pair.
m∠7 + m∠2 = 180° - Definition of supplementary angles.
m∠2 = m∠4 - Substitution property.
c ║ d - Converse of corresponding angles postulate.
Question #2
m∠3 = m∠8 - Given.
∠8 and ∠6 form a linear pair - Definition of linear pair.
∠8 and ∠6 are supplementary angles - Definition of linear pair.
m∠8 + m∠6 = 180° - Definition of supplementary angles.
∠3 and ∠6 are supplementary angles - Substitution property.
m∠3 + m∠6 = 180° - Definition of supplementary angles.
Question #3
p ║ q - Given.
∠1 ≅ ∠5 - Given.
∠1 ≅ ∠2 - Alternate interior angle theorem.
∠2 ≅ ∠5 - Substitution property.
~Hope this helps!~
1.
Consider a group of n objects. Assume we want to form groups of r, from these n objects.
There are in total

many ways of doing so.
where, r! is "r factorial", calculated as 1*2*3*...*(r-1)*r
2.
C(x, 2) is the total number of pairs out of x objects, that we can form.
so let the x objects represent the x teams, and 2, represent a group of 2, which means a game.
The total number of games is:
n(x)=2*C(x, 2) =

Remark, we multiplied by 2, since there will be 2 matches for each pair of teams.
Answer:
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
Answer:Which whole number division problem have a quotient of 9 and a remainder 5?
So many to choose, so little space !!
There are an INFINITE number of: (dividend) / (divisor) = 9 with remainder of (5/divisor)
which one do you want ? Which one do you need ?
(86) / (9) = 9 and 5/9
Step-by-step explanation:
Answer:
b= 34
Step-by-step explanation:
you have to subtract 146 from 180 so 180-146=34
its 180 because a straight line always equals 190 degrees
hope this helps