An exterior angle of a triangle is an angle formed by one side of the triangle and the extension of an adjacent side of the triangle.
FACTS:
- Every triangle has 6 exterior angles, two at each vertex.
- Notice that the "outside" angles that are "vertical" to the angles inside the triangle are NOT called exterior angles of a triangle.
1. Angles 1, 5 and 6 are inteior angles of the given triangle.
2. Angle 3 is vertical to the interior angle 5.
3. Angles 2 and 4 are exterior angles of the triangle.
Answer: correct options are A and B.
Answer:
56
Step-by-step explanation:
Given that there are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom.
The three candidates that receive the highest number of votes become candidates for a runoff election.
i.e. 3 persons out of 8 to be selected for becoming candidates for a runoff election.
Since order does not matter we use combinations here
3 persons out of 8 can be done in 8C3 ways
= 56
no of 3-candidate combinations possible are 56
Answer:
15.6%
Step-by-step explanation:
Since each day there is a 6% chance that Lisa smiles at him then that means that each day there is a 94% chance that Lisa does not smile at him. To find the probability of Milhouse going longer than a month (30 days) without a smile from Lisa we need to multiply this percentage in decimal form for every day of the month. This can be solved easily by putting 94% to the 30th power which would be the same, but first, we need to turn it into a decimal...
94% / 100 = 0.94
= 0.156
Now we can turn this decimal into a percentage by multiplying by 100
0.156 * 100 = 15.6%
Finally, we can see that the probability that Milhouse goes longer than a month without a smile from Lisa is 15.6%
12 + 26 + 125 = 163
163 + 0.056(163) = 163 + 9.13 = 172.13
1. Page 1-9 (1digit/page
x 9page) = 9 digits = 9 page
2. Page 10-99 (2digits/page x 90page)= 180 digits = 90 page
3. Page 100-999 (3digits/page x 900page)= 2700 digits = 900
page
2,929 total digits – (9 digits + 180 digits + 2700 digits)= 40
digits
Since there are only 4 digits after page 999 we divide 40/4
= 10, thus there are 10 more pages after 999
So the book has 1009 pages.
Hope
this answer will be a good help for you.
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