Answer:
in the simplest term is:
Step-by-step explanation:
Given the expression
Thus, solving to reduce to the simplest term
LCM of 15, 2: 30
Adjusting fraction based on the LCM
so the expression becomes
Apply the fraction rule: 
Add the numbers: 8+15 = 23
Therefore, in the simplest term is:
Answer:
heres the answer
Step-by-step explanation:
just graph (2,3) (3,2) (4,3)
on a coordinate grid
Answer:
B: 54 square feet
Step-by-step explanation:
There are 3 feet in 1 yard. The scale model is 6 square yards.
Multiply 6 by 3 to get the amount of square yards.
There are 18 square yards in the actual playground.
Since there are 3 feet in a yard, multiply 18 by 3.
This gives you your answer:
54 square feet
There are going to be two solutions because the "biggest" x is x^2 but you can factor to find what they actually are.
Problem 1
x = measure of angle N
2x = measure of angle M, twice as large as N
3(2x) = 6x = measure of angle O, three times as large as M
The three angles add to 180 which is true of any triangle.
M+N+O = 180
x+2x+6x = 180
9x = 180
x = 180/9
x = 20 is the measure of angle N
Use this x value to find that 2x = 2*20 = 40 and 6x = 6*20 = 120 to represent the measures of angles M and O in that order.
<h3>Answers:</h3>
- Angle M = 40 degrees
- Angle N = 20 degrees
- Angle O = 120 degrees
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Problem 2
n = number of sides
S = sum of the interior angles of a polygon with n sides
S = 180(n-2)
2700 = 180(n-2)
n-2 = 2700/180
n-2 = 15
n = 15+2
n = 17
<h3>Answer: 17 sides</h3>
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Problem 3
x = smaller acute angle
3x = larger acute angle, three times as large
For any right triangle, the two acute angles always add to 90.
x+3x = 90
4x = 90
x = 90/4
x = 22.5
This leads to 3x = 3*22.5 = 67.5
<h3>Answers:</h3>
- Smaller acute angle = 22.5 degrees
- Larger acute angle = 67.5 degrees
