Answer:
See explanation
Step-by-step explanation:
16. Two parallel lines are cut by transversal. Angles with measures
and
are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:

Then

17. Two parallel lines are cut by transversal. Angles with measures
and
are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:

Then

18. Two parallel lines are cut by transversal. Angles with measures
and
are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:

Then

19. The diagram shows two complementary angles with measures
and
. The measures of complementary angles add up to
then

Hence,

Check:

20. Angles
and
are vertical angles. By vertical angles theorem, vertical angles are congruent, so

Hence,

21.
and
are supplementary. The measures of supplementary angles add up to
so

Therefore,

Answer:
1. C 2.D 3.D 4.A
Step-by-step explanation:
The first one would be C because the slope is -1, which can also be -x and the y-intercept is 0, meaning you don't need to add or subtract anything.
The second one is D because the slope is -3, meaning it's -3x, and the y-intercept is positive, meaning you add 5.
The third one is D because the slope is 5/4, which is 5/4x and the y-intercept is positive 3, meaning you add 3.
And the fourth one is A because there is no slope, so y would just equal 3.
You can take the log of the left and right hand side, and then apply the <span>logarithm rules:
log(a</span>ˣ) = x·log(a)
log(ab) = log(a) + log(b)
log(9^(x-1) * 2^(2x+2)) = log(6^(3x))
log(9^(x-1)) + log(2^(2x+2)) = 3x log(6)
(x-1) log(9) + (2x+2) log(2) - 3x log(6) = 0
x(log9 + 2log2 - 3log6) = log9 - 2log2
x = (log9 - 2log2) / (log9 + 2log2 - 3log6)
simplifying by writing log9 = 2log3 and log6 = log2+log3
x= 2(log3 - log2) / (2log3 + 2log2 - 3log2 - 3log3) =
x= -2(log3 - log2) / (log3 + log2) = -2 log(3/2) / log(6)
So 6^x = 4/9
Assuming the five frame is for the number five (5) then place 5 counters in the frame.
Let, that fraction = x
So, 8 * x = 5
x = 5/8
In short, Your Answer would be 5/8
Hope this helps!