1) 16
2) 2
3) 6
4) 70
5) 9
6) 15
7) 20
Answer:
(
) || (
)
Step-by-step explanation:
When two lines are parallel, all four angles formed by the intersection of the two lines are right angles, meaning their angle measures are (90°). This means that alternate interior angles are congruent because all alternate interior angles measures equal (90°). Therefore, by the alternate interior angles converse theorem, lines () and () are parallel.
The alternate interior angles converse theorem states if two angles are congruent and they have the relation of being a part of two lines intersected by a third line, then the two non-intersecting lines are parallel.
Answer:
28/9
Step-by-step explanation:
We will have to convert the given question into improper fraction before solving
So let's solve the question
3 1/9
Can be written as 28/9 which is improper fraction
Since there's nothing that can be used to divide both the numerator and denominator
Then our final answer is 28/9
But in the case where the fraction can be divided we can actually solve further
Answer:
56,275
Step-by-step explanation:
Given:
Area of sample board: 1/3 square ft.
Weight of sample board: 1/5 lbs
We need to get the weight of the whole square foot.
1/3 square foot is only a part of the whole square foot. Its corresponding weight is 1/5 pounds. We need to divide the area by its corresponding weight to get the total weight per square foot.
1/3 ÷ 1/5
Rules of dividing fractions:
1st fraction: 1/3 ; 2nd fraction: 1/5
1) Get the reciprocal of the 2nd fraction. 1/5 ⇒ 5/1
2) Multiply 1st fraction to the reciprocal of the 2nd fraction
1/3 * 5/1 = 5/3
3) Simplify fraction.
5/3 is an improper fraction. To simplify it, it needs to become a mixed fraction.
5/3 = 1 2/3 pounds.
