Answer:
clockwise
Step-by-step explanation:
Conventionally, positive angles in the Cartesian coordinate plane are measured counterclockwise from the +x axis. Rotation in the negative direction is the opposite of that, so is clockwise.
Answer:
<em>From left to right: 54 deg, 51 deg, 47 deg</em>
Step-by-step explanation:
From the bottom right triangle:
105 + 28 + x = 180
x + 133 = 180
x = 47
The lower right triangle has angles measuring 28, 105 and 47.
The lower unknown angle of the upper right triangle is vertical to the 47 deg angle, so it also measures 47 deg.
Now we calculate the upper unknown angle of the upper triangle.
82 + 47 + y = 180
y + 129 = 180
y = 51
One angle forms a linear pair with the 105-deg angle. It measures
180 - 105 = 75.
The large left triangle has angles 75 deg, 51 deg, and the unkown angle at the left.
z + 51 + 75 = 180
z + 126 = 180
z = 54
It looks like for all of these we will be using the Pythagorean theorem.
If you don't know what this is or how to apply it, go to the website "Khan Academy" and watch his video(s) on it. I would suggest going to that site whenever you don't understand something in math :)
I'll just be giving you the answers and won't explain what I'm doing, but please do go to Khan Academy to find out how to do it on your own!!
Anyway, onto the answers.
1) a = 12.5, b = 5.7, c = 13.7.
2) 24
3) 19.2
4) 6.4
5) 18.7
6) 98.5
7) 1.9
Hope this helps!!!
Answer:
The answer to your question is the second choice
Step-by-step explanation:
Data
Large rectangle Small rectangle
base = 15 ft base = 11 ft
height = 13 ft height = 9 ft
Process
1.- Express the area of the large rectangle
Area = base x height
Substitution
Area = (15)(13)
2.- Express the area of the small rectangle
Area = (11)(9)
3.- Write the area of the shaded region
Shaded area = Area of the large rectangle - Area of the small rectangle
-Substitution
Shaded area = (15)(13) - (11)(9)
