Hi there! :)
a) (ii) The two angles are vertical angles, so they are congruent.
b)(i) y = 71°
(ii) The two angles are alternate interior angles, so they are congruent.
c) z = 44°
(ii) m∠x = 65° because the two angles are vertical angles, so they are congruent.
b) (i)
∠y is an alternate interior angle, therefore:
m∠y = 71°
c) Use the sum of interior angles of a triangle to determine the measure of angle z:
180 = 65 + 71 + z
180 = 136 + z
180 - 136 = z
z = 44°.
The probability of getting the correct order in the spelling bee is 1 chance in 362,880.
This is a permutation problem. Our goals is to find the total number of ways that the 9 students can be ordered.
For the first spot there are 9 choices, then 8 choices, then 7 choices....
We need to evaluate:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880
Another way to write this is: 9!
Answer:
1/125
Step-by-step explanation:
5^-3
We know that a^-b = a/a^b
1/5^3
1/125
Answer: About 800 thousand
The more accurate value is 807,528 but this is also an approximation.
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Work Shown:
That's the rough population of wild pigs (in millions) for the year 2000.
Multiply by 
to get it in terms of units instead.
There were roughly 800 thousand wild pigs in the year 2000.
