Answer:
x = 
Step-by-step explanation:
Distributive Property:
3 (x - 4) = 12x
3x - 12 = 12x
Combine like terms and isolate the variable:
3x - 12 = 12x
-12 = 9x
= x
x =
Answer:
An individual's effective tax rate represents the average of all tax brackets that their income passes through as well as the total of all deductions and credits that lower their total income to their taxable income.
Step-by-step explanation:
Answer:
N is M reflected across the x-axis; only the signs of the x-coordinates of M and N are different.
Step-by-step explanation:
The y-axis is vertical, and the x-axis is horizontal. If a point, or image, is reflected over the x-axis, in this case M and N, then the signs of the y-coordinates do not change, and instead the coordinates of the x-axis change.
Answer: The flagpole is about 22.3 feet tall.
This is roughly the size of a two story building, assuming each floor is 10 feet or so.
Since this height is under 25 ft, this flagpole is in compliance with the regulation.
=====================================================
Work Shown:
The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.
The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.
Use the tangent rule to connect the opposite and adjacent sides.
Solve for x.
tan(angle) = opposite/adjacent
tan(25) = (x-5.5)/36
36*tan(25) = x-5.5
x-5.5 = 36*tan(25)
x = 36*tan(25)+5.5
x = 22.28707569358
x = 22.3 ft is the approximate height of the flagpole
Make sure your calculator is in degree mode.
The height is not over 25 ft, so this flagpole meets the requirements.
Answer:
5^3
Step-by-step explanation:
125= 5*25
25=5*5
5 is a prime number and there are 3 of them so the answer in index notation will be 5^3
