Answer:
A
Step-by-step explanation:
Using PEMDAS you start with multiplication first, so -2 multiplied by -6, which is positive 12. Then you go from left to right, so 4 +-3, or 4-3, which is 1. Then 1-12 is -11. So your final answer is A, -11.
Answer:
C and D
Step-by-step explanation:
They are both right
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
Answer:
Step-by-step explanation:
Let's use your example as a starting point. <em>Determine whether the same number will divide each 10 and 65 evenly</em>. In this case, the answer is yes, and the number is 5. 10/5 = 2, and 65/5 = 13. Thus, the fraction in lowest terms is 2/13.
