See how many times 30 fits into 383.
30 x 12 = 360, 30 x 13 = 390
therefore, 30 fits into 383 twelve times.
383 - 360 = 23
you'll have a remainder of 23
A.
ratio 1 to 1
alright
find the distance between the x values and the y values and seperate each into that ratio
1:1
A to B is (6,12) to (15,-4)
disatnce from 6 to 15 is 9, ratio would be 4.5:4.5=1:1
distance from 12 to -4 is 16, ratio would be 8:8=1:1
so the point would be (4.5,8)
b.
5:2
5+2=7
alright
A to C
(6,12) to (20,12)
distance from 6 to 20 is 14, 14/7=2, 2 times 5=10
distance from 12 to 12=0, so same coordinate
the point is (10,12)
c.
2+3=5
C to B
C is (20,12) and B is (15,-4)
distance from 20 to 15 is 5, so 2 is the x value
distance from 12 to -4 is 16, 16/5 times 2=32/5
the point is (2,32/5)
To find in how many ways this can be done, we can use the method of combination.
As the customer have to choose 2 out of 3 appetizers, the combination would be 3C2.
For 4 out of 5 main courses, the combination wouls be 5C4.
For 6 out of 8 desserts, the combination would be 8C6.
We can then combine them into a single equation to find the answer:
3C2 x 5C4 x 8C6
=420
Therefore, the answer is 420 ways.
Hope it helps!
Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F
Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24
Subtract both sides of the equation by 3x
6x + 12 = 24
Subtract 12 from both sides
6x = 12
Divide both sides by 6
x = 2
This should be your answer. Have an awesome day! :)
