3. A fence on a hill uses vertical posts L and M to hold parallel rails N and P. <4 and <14 are alternate exterior angles.
1 answer:
Given information:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P
The diagram is attached below
Here lines N and P are parallel lines
Transversal line for parallel lines N and P is line L
Calculation:
angle 1 and angle 16 are consecutive exterior angles
If parallel lines are cut by a transversal then consecutive exterior angles are supplementary.
<em><1 +< 16 = 180</em>
<em>115+ < 16 = 180</em>
<em>< 16 = 180 - 15</em>
<em>< 16 = 65</em>
<em />
<em>So measurement of angle 16 = 65 degrees.</em>
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Answer:
Step-by-step explanation:
we would like to integrate the following indefinite integral:
in order to integrate it we can consider using u-substitution also known as the reverse chain rule and integration by substitution as well
we know that we can use u-substitution if the integral is in the following form
since our Integral is very close to the form we can use it
let our u and du be 4x³+9 and 12x²dx so that we can transform the Integral
as we don't have 12x² we need a little bit rearrangement
multiply both Integral and integrand by 1/12 and 12:
apply substitution:
recall Integration rule:
back-substitute:
finally we of course have to add constant of integration:
and we are done!