Answer:
57.06 unit^2
Step-by-step explanation:
find the area of the rectangle = 12*12 = 144 unit^2
the area of the circle = pi*r^2 = 3.14*8^2 = 201.06 unit^2 (rounded to the nearest hundredth)
then the "shaded area" is the difference
201.06 - 144 = 57.06 unit^2
Answer:the number of adults that attended the show is 248
the number of students that attended the show is 54
Step-by-step explanation:
Let x represent the number of adults that attended the show.
Let y represent the number of students that attended the show.
Total number of tickets that were sold is 302. This means that
x + y = 302
Tickets to the fashion show were $2.50 for adults and $1 for students. The receipts for all the tickets were $674. This means that
2.5x + y = 674 - - - - - - - - - 1
Substituting x = 302 - y into equation 1, it becomes
2.5(302 - y) + y = 674
755 - 2.5y + y = 674
- 2.5y + y = 674 - 755
- 1.5y = - 81
y = - 81/- 1.5
y = 54
Substituting y = 54 into x = 302 - y, it becomes
x = 302 - 54 = 248
Use the formula 1/2•b•h to find your answer
<h2>Answer:</h2>
This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,
1.
Reason: Given
Statement: 
2.
Reason: Def of vertical 
Statement: 
3.
Reason: Def of vertical 
Statement:
4.
Reason: Transitive Property
Statement: 
5.
Reason: corresponding Angles Converse Postulate
Statement: 