Answer:
x = 40 degrees
Step-by-step explanation:
We are given that AB and CD are parallel to each other and they are cut by a transversal.
The angle 40 is complementary to angle z, so this means that they have the same measure by the complementary angles theorem.
Complementary are angles that occupy the same space on one parallel line compared to the other parallel line.
Angle z = 40 degrees
Answer:
ln(5/3)
Step-by-step explanation:
The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.
<h3>Limit</h3>
We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.

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Answer:
x-less than-or-equal-to 3
Step-by-step explanation:
4x + 6 < 18 (less than or equal to)
4x < 12 (less than or equal to) x < 3 (less than or equal to)
18 * 100 / 36 = 200
<span>36% of 50 is 18</span>