In the diagram shown, line m is parallel to line n . Justine says that ∠3 ∠ 3 and ∠7 ∠ 7 are supplementary angles. Is she correc
t? Why or why not?
a. No, because ∠3∠3 is an interior angle and ∠7∠7 is an exterior angle.
b. No, because they are not a linear pair.
c. Yes, because ∠3∠3 and ∠8∠8 are congruent corresponding angles, and ∠7∠7 and ∠8∠8 are a linear pair.
d. Yes, because ∠3∠3 is acute and ∠7∠7
is obtuse.
a. No, because ∠3∠3 is an interior angle and ∠7∠7 is an exterior angle.
b. No, because they are not a linear pair.
c. Yes, because ∠3∠3 and ∠8∠8 are congruent corresponding angles, and ∠7∠7 and ∠8∠8 are a linear pair.
d. Yes, because ∠3∠3 is acute and ∠7∠7
is obtuse.
1 answer:
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Answer: 6x
Work Shown:
For each step, the logs are all base b. This is to save time and hassle of writing tricky notation of having to write the smaller subscript 'b' multiple times. The first rule to use is that log(x^y) = y*log(x) for any base of a logarithm. The second rule is that meaning that the log base of itself is 1
log(b^(6x)) = 6x*log(b) .... pull down exponent using the first rule above
log(b^(6x)) = 6x*1 .... use the second rule mentioned
log(b^(6x)) = 6x