2.
180 degrees
Clockwise or counterclockwise. Both directions give the same result.
3.
90 degrees
Clockwise.
Answer:
126°
Step-by-step explanation:
The sum of angles in a triangle is 180°. Corresponding angles C and H of the similar triangles have the same measure, so you have ...
... ∠G + ∠H + ∠D = 180°
... ∠G + 31° +23° = 180° . . . . . . . subtract the numbers on the left to find ∠G
... 180° -54° = ∠G = 126°
There are 4 teams in total and each team has 7 members. One of the team will be the host team.
Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.
So total number of possible 9 member tournament committees will be equal to:

This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:

Therefore, there are 2917215 possible 9 member tournament committees
Answer:
(-3, 1)
The solution is the point at which both lines intersect.
This is the solution since both lines would have that point and only that ppoint in this type of problem. IN a graph where 2 lines are parralel, there is no solution as they never intersect . on a graph where the 2 lines overlap there is infinite solutions. FInally in a graph like this there is exactly one solution and it is the intersection of both lines
Step-by-step explanation:
Answer:
The lateral area is 392.5 sq. inches.
Step-by-step explanation:
The pipe is in a shape of a cylinder. The lateral area formula for a cylinder is:
Lateral Area = 
Where
r is the radius (half of diameter)
h is the height
Given, diameter = 5
so,
radius = 5/2 = 2.5
Also,
height = 25 inches (same as length, here)
Now we use 3.14 for
and substitute the values to get the lateral area:
Lateral Area = 
The lateral area is 392.5 sq. inches.