Answer:
Step-by-step explanation:
we know that the sum of these two angles=180 degrees
5x/2 +125=180
5x/2=180-125=55
5x/2=55
5x=55*2
5x=110
x=110/5=22
x=22
Given:
Point A with coordinates: (4, 2) is in the first quadrant.
The point is translated to the rule (x, y) --> (x+1, y-5)
Now, point A becomes (4+1, 2-5) = (5, -3) which is now in quadrant 4.
The point is reflected across the y-axis. Now, it is in the third quadrant.
28. Each person will get 2 pieces. 1/6=2/12
29. Each teacher will get 9 cookies. 1/4=(sorry, I'm not sure)
30. Each student will get 4 slices.1/16=4/64
31. She has made five.
Hope this helped :)
Answer:
87.29%
Step-by-step explanation:
Given: Mean= 68.8 inches
Standard deviation= 2.8 inches
Now, finding the percent of the men in the sample were greater than 72 inches.
We know, z-score= 
z-score= 
⇒ z-score= 
∴ z-score= 1.14
Next, using normal distribution table to find percentage.
Coverting 0.8729 into percentage= 
We get the percentage as 87.29%
Hence, 87.29% of the men in the sample were greater than 72 inches.
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The parallel lines divide the sides proportionally, so ratios of corresponding sides are the same.
(x +5)/15 = (5x +1)/35
Multiplying by 105, we have ...
7(x +5) = 3(5x +1)
7x +35 = 15x +3 . . . . . eliminate parentheses
32 = 8x . . . . . . . . . subtract 7x+3 from both sides
4 = x . . . . . . . . divide by 8
