Answer:
Number of white marbles in the bag = 45
Step-by-step explanation:
Total number of marbles in the bag = 135
Ratio of white marble to transparent ones = 3 : 6
Let number of white marbles be
Then number of transparent marble will be
Total number of marbles will be
So we have.
Dividing both sides by 9.
∴
∴ Number of white marbles in the bag =
Answer:
yards
Step-by-step explanation:
Fractions can be confusing. Let's convert them to decimals since they are all rational numbers. 12 1/2 → 12.5 5 1/4 → 5.25 2 1/2 → 2.5
Add the two numbers that indicate the amount of thread available.
5.25 + 2.5 = 7.75
Subtract that number from the amount of thread needed.
12.5 - 7.75 = 4.75
Convert back to a fraction.
4.75 → 4 3/4
The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation
and solve it for x: subtract 13x from both sides to get
and add 2 to both sides to get
Check: if we plug the value we found we have
So the angles are actually the same, as requested.