Answer:
you need to explain what the question is
Step-by-step explanation:
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:
10 possible outcomes
S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}
Step-by-step explanation:
As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are
= 5x2 = 10
Each vowel can be chosen with 6 or with 7
Let S be the sample space
a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number
S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..
Answer:
130
Step-by-step explanation:
18+(4x28)
=18+112
=130
Remember PEMDAS!
0.47 is the answer. Because it's in the middle of 0.43 and 0.50. I answered this on your last question =p
