Answer:
105°
Step-by-step explanation:
X and 75 has to add up to 180
so 180 - 75 = 105°
Answer:
6
Step-by-step explanation:
1. get rid of parentheses: 12x -6 = 10x +6
2. group like terns together: 12x-10x = 6+6
3. simplify: 2x = 12
4. divide both sides by 2: x=6
Answer:
1.04 inch
Step-by-step explanation:
Given: Old house has a basement stairways with 7.25 inch vertical riser and 7 inch horizontal treads.
Remember; horizontal treads is known as run in steps.
Now, calculating the slope of the stairways.
Formula: 
Rise= 7.25 inch
Run= 7 inch.
Subtituting the value in the formula
Slope= 
(∵ Round to two decimal)
∴ Slope of stairways is 1.04.
Answer:
27√39
Step-by-step explanation:
To calculate the geometric mean we need to first of all multiply 24 and 32 and take the square root of it (i.e. 24*32 is 768, √768 is 27.712.....). However, in this case, we need to represent the answer in a simplified surd. To do this we need to find the highest possible perfect square that is below 768. Here it is 27 because 27*27 equals 729. Now we can go ahead and subtract 768 by 729. We get 39. So now we got two different surds. √729 and √39. We can simplify the √729 to 27. Thus our answer is the combination of both 27*√39 or 27√39.
