no. of boys : no.of girls
100 : 140
to get the simplest ratio you gotta divide both with a common factor
Because both 100 and 140 share a common factor of 20
the simplest ratio will be
100/20 : 140/20
5:7
5:7 is the simplest ratio
Answer:
The value of an exterior angle is the sum of the two interior angles not adjacent to it so
a:
x = 64 + 45 = 
b:
3x + 6 = 153 so
3x = 147 so
x = 

Answer:
Step-by-step explanation:
The angles would be supplementary
45 + 5x + 35 = 180
5x + 80 = 180
5x = 100
x = 20
To find out why they are supplementary, refer to the transversal below
∠3 = ∠7 (corresponding angles)
∠8 = 180 - ∠7 (supplementary angles)
And since ∠7 = ∠3...
∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)
21: The factors of 21 are 1,3,7,21
Answer:
There is a 3/20 chance that a red plastic marble will be taken out on random.
Step-by-step explanation:
This is because there are 14 yellow marbles, and 6 red marbles. Along with this, half of the red marbles are made out of plastic. This leaves 3/6 of the red marbles made out of plastic. When combined with the yellow marbles, you'll add 14 to the denominator, since there are 14 yellow marbles. (Red + Yellow = Total Number Of Marbles) This leads to a total count of 3 marbles of the 20 total marbles, being red and made out of plastic.