<1 and <2 are congruent because they are a pair of vertical angles.
Answer:
1 - 60
2 - 120
3 - 60
4 - 120
5 - 60
6 - 120
7 - 60
8 - 120
Step-by-step explanation:
Via supplementary angles, you can conclude that angle 5 is 60. Because of vertical angles, angle 8 is 120 and angle 7 is 60. Because of alternate exterior angles, angle 1 is congruent to angle 7 and angle 2 is congruent to angle 8, meaning angle 1 is 60 and angle 2 is 120. Because of vertical angles, angle 3 is 60 and angle 4 is 120.
Answer:
The percent change in salary from one job to the next is 88.57%.
Step-by-step explanation:
The previous salary of per hour = $8.75 per hour
The current salary of per hour = $16.50 per hour
Change in the salary rate per hour = Current salary - Previous Salary
= $16.50 per hour - $8.75 per hour
=$7.75 per hour
⇒The change in the salary per hour rate is $7.75
Now, 
= 
or, the change in salary percentage is 88.57%
Hence, the percent change in salary from one job to the next is 88.57%.
Answer:
square inches.
Step-by-step explanation:
<h3>Area of the Inscribed Hexagon</h3>
Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be
inches (same as the length of each side of the regular hexagon.)
Refer to the second attachment for one of these equilateral triangles.
Let segment
be a height on side
. Since this triangle is equilateral, the size of each internal angle will be
. The length of segment
.
The area (in square inches) of this equilateral triangle will be:
.
Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:
.
<h3>Area of of the circle that is not covered</h3>
Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is
inches, the radius of this circle will also be
inches.
The area (in square inches) of a circle of radius
inches is:
.
The area (in square inches) of the circle that the hexagon did not cover would be:
.