Answer:
x = 5/42 or 0.119
Step-by-step explanation:
log(6x) + log(14) = 1
log(6x × 14) = 1
log(84x) =
84x = 10¹
84x = 10
x = 10/84
x = 5/42 or 0.119
Angles ECD and CEF add to 180
40+140 = 180
So that means we have EF parallel to CD (due to the same side interior angle theorem)
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Angles BCE and ECD combine to 30+40 = 70, which is congruent to angle ABC = 70 as well.
In other words, this shows angle ABC = angle BCD. Both of these angles are alternate interior angles. Since they're congruent, they lead to AB being parallel to CD.
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So far we have
AB || CD
CD || EF
Using the transitive property, we can then link the two statements to say AB || EF. Think of a chain where CD is the common link. We go from AB to CD, then from CD to EF. So we can just take a single path from AB to EF.
It's like saying "P --> Q and Q --> R, therefore P --> R"
Answer:
78
Step-by-step explanation:
for the right side we can just do 14*2 since there are two people per seat and 14 rows
14 *2 is 28
for the left side we just do 14*3 since there are three people per seat and 14 rows
14*3 is 42
Then we have to add the 8 students that can fit in the very back seat
42 + 28 + 8
28 + 8 is 36
42 + 36 = 78
There are a total of 208 cards. For every one card Tony has, Duane has 12, which means that there are 13 cards in each "set." If you divide the total number of cards (208) by 13, you get 16 "sets." So out of the total 208 cards, Tony has 16 cards and Duane has 12 times 16 or 192 cards.
