Answer:
The measure of the angles are 46, 89, and 41 degrees.
Step-by-step explanation:
In order to find this, we need to add all 3 angles together and set equal to 180. Then we can find x.
x + 2x - 3 + x - 5 = 180
4x - 8 = 180
4x = 188
x = 46
Now we can find the value of each angle using the value of x.
Angle 1:
x = 46
Angle 2:
2x - 3
2(46) - 3
92 - 3
89
Angle 3:
x - 5
46 - 5
41
Answer: 3 2/3 Yards
Step-by-step Solution:
In order to solve this problem, you'll want to set up a conversion equation.
** 1 Yard = 3 Feet **
To convert these measurements you'll need to write this conversion factor as a conversion ratio. Your ratio will be 1 yard / 3 feet. This fraction is actually equal to 1, meaning we can multiply it by any number to convert the units without changing its value.
You can then solve by using simple division. I will attach a photo of the steps I did by hand.
** Canceling the units will help avoid confusion **
After you reach the 6th step, all you have to do to find your mixed number is see how many times 3 fits into 11.
3 can go into 11 3 times, with a remainder of 2. Your final answer should be 3 2/3 yards.
I hope this helps! c:
Answer:
17.88854382
13.0384048104
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
AOB + BOC = AOC
AOC = 90 since the lines are perpendicular
6x-12 + 3x+30 = 90
Combine like terms
9x + 18 = 90
Subtract 18 from each side
9x+18-18 = 90-18
9x = 72
divide by 9
9x/9 = 72/9
x = 8
AOB = 6x - 12
= 6*8 - 12
= 48 -12
= 36