Answer:
With respect to the reference angle, one leg is the adjacent leg, or the leg right next to the reference angle; and the other leg is the opposite leg, or the leg on the opposite side of the triangle. If two triangles are similar, the ratios of corresponding sides are equal.
Answer:
Larger angle: 80 degrees
Smaller angle: 10 degrees
Step-by-step explanation:
complementary angles = two angles that add up to 90 degrees
x = larger angle
x + x - 70 = 90 Add like terms
2x - 70 = 90 Add 70 on both sides
2x = 160 Isolate the variable by dividing 2 on both sides
x = 80
x = larger angle , 80 degrees
x - 70 = smaller angle , 10 degree
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Answer:
9:29 PM
Step-by-step explanation:
Let us add the number of minutes the first act, interval and second act lasted:
46 + 20 + 53 = 119 minutes
Converting this to hours and minutes:
60 minutes = 1 hour
119 minutes = 1 hour 59 minutes
Therefore, the time that the second act ends is:
H M
7 : 30 PM
+ <u> 1 : 59</u>
<u> 9 : 29 </u>
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The second act will end by 9:29 PM
Answer:
31 + x
Step-by-step explanation:
1) 1 + 10 × 3 + x
2) 1 + 30 + x
3) 31 + x
Answer:
There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
Desired outcomes:
The number of male nannies selected. 24 of the nannies placed were men. So the number of desired outcomes is 24.
Total outcomes:
The number of nannies selected. 4,176 nannies were placed in a job in a given year. So the number of total outcomes 4176.
Find the probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").