
Integrating gives

To compute the integral, substitute
, so that
. Then

Since
for all
, we can drop the absolute value, so we end up with

Given that
, we have

so that

Answer:
B
Step-by-step explanation:
Question 1:
Statement Reasons
m∠ABD + m∠DBC = m∠ABC Angle addition postulate
60° + 40° = m∠ABC Substitution Property of equality
100° = m∠ABC Simplpifying
∠ABC is an obtuse angle Definition of obtuse angle
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Question 2:
Statement Reasons
AC = BD Given
AC = BC + BD Segment addition postulate
AB + BC = BC + CD Addition property of equality
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Question 3:
Angle congruence postulate
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Question 4:
Segment congruence postulate
Answer:

Step-by-step explanation:
Let x = unknown number


Multiply both sides by 9:

Expand brackets:

Add 32 to both sides:

Divide both sides by 8:

Answer:
Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes
Step-by-step explanation:
Number of boxes sold = 26
Cases of 12 plus extra boxes needed
Number of cases of 12 needed :
Number of boxes sold / 12
= 26 /12
= 2 remainder 2
Hence, Jessica needs 2 cases of 12 girls scout cookies plus 2 extra boxes