Answer:
1) x= 15
2) x= 34
3) x= 40
Step-by-step explanation:
1) 4x°= 45° +15° (vert. opp angles)
4x°= 60° <em>(</em><em>simplify</em><em>)</em>
x°= 60° ÷4 <em>(</em><em>÷</em><em>4</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
x°= 15°
Thus, x= 15.
2) (x+12)° +100° +x°= 180° (adj. angles on a str. line)
2x° +12°= 180° -100°
2x°= 80° -12°
2x°= 68°
x°= 68° ÷2
x°= 34°
x= 34
3) 3x°= 120° (vert. opp. angles)
x°= 120° ÷3
x°= 40°
x= 40
<u>Abbreviations</u><u>:</u>
1. vert. opp. angles
- vertically opposite angles
- This means that when 2 straight lines intersect, the angles facing opposite each other are equal.
2. adj. angles on a str. line
- adjacent angles on a straight line
- the sum of the angles that lie on a straight line is 180°
Answer:
V = 288.5 
Step-by-step explanation:
To find the volume of a cone, use this equation:

r = radius
h = height
We aren't given the height of the cone, just the length of the side. To find the height use the Pythagorean Theorem:

The value of 12.1 yds is the hypotenuse and the radius is the value of one of the legs. So, set it up like this:

Now, solve:
Distribute the square
Subtract 25 from 146.41

a = 11.01862
So, the height is equal to 11.01862 yds.
Now, we can plug everything into the volume equation:

Simplify (use calculator):
V = 288.5 
So, the volume of the cone is equal to 288.5 
Answer:
The value of n is 11 feet.
Step-by-step explanation:
Given that the area of rectangle from is A = length×width so we have to substitute the variables into the formula in order to find n :

Let area = 33,
Let length = n,
Let width = 3,




Ok it mean that 160 is the small square
Answer:
diameter=22
circumference=22pi
Step-by-step explanation:
diameter=2*radius
so 2*11=22
circumference=2pi*r
=2*11*pi
=22pi