Answer:
Dean's prediction was correct.
Step-by-step explanation:
Dean picked up 31.5% yellow blocks (0.315 as a decimal), and Jeanne picked up 27% yellow blocks (0.27 as a decimal). If they had the same yellow block percent as before, Dean would get about 158 blocks, and Jeanne would get 135 blocks.
The answer is

÷ 2 =

÷
If

÷

=

, then:

÷

=
Now, 2 can be canceled out from

:
Answer:
m<2 = 57
Step-by-step explanation:
Since they are all in a straight line, the sum of the three angles = 180
Let m ∠3 = x
Thus;
2m<1 = x - 6
m<1 = (x-6)/2
m<2 = x-27
Adding all
x + x-27 + (x-6)/2 = 180
Multiply through by 2
2x + 2x -54 + x -6 = 360
5x -60 = 360
5x = 360 + 60
5x = 420
x = 420/5
x = 84
But m<2 = x -27
m<2 = 84 -27 = 57
Answer:
a) 165.52 degrees.
b) 131.41 degrees.
c) 118.96 degrees.
d) 159.73 degrees.
Step-by-step explanation:
The sine of an obtuse angle is positive as it is in the second quadrant.
a) Using a calculate the angle whose sine ( arcsin) is 0.25 = 14.478 degrees
so the obtuse angle = 180 - 14.478 = 165.52 degrees to nearest hundredth
b) c) and d) are calculated in the same way.
Answer:
Step-by-step explanation:
<u>Use the ratio of corresponding sides of similar triangles:</u>
- 25/x = x / 144
- x² = 25*144
- x = √25√144
- x = 5*12
- x = 60