Answer
The correct answer should be 2/3, Nicholas should have divided the numerator and the denominator by the same greatest common factor.
Step-by-step explanation:
When simplifying fractions, you need to look at the value of the numerator (top number) and denominator (bottom number) and compare their factors. Factors are the number that we multiply to get that number. To simplify a fraction to lowest terms, you need to find the greatest common factor of both numbers and divide each number by the same factor. 20 has the following factors: 1, 2, 4, 5, 10, 20. 30 has the following factors: 1, 2, 3, 5, 6, 10, 15, 30. Although both 20 and 30 have the factors 1, 2, 5 and 10 in common, the greatest common factor is 10, so we divide both 20 and 30 by 10 to get 2/3.
B beacuse it’s 173 thanks very much
Answer:
The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC
Step-by-step explanation:
<em>There is an important fact about the parallel lines: </em>
- Parallel lines have equal slopes
<em>The rule of the slope of a line is:</em>
, where
and
are two points on the line
<em>Let us use the fact and the rule to solve the question</em>
∵ ABCD is a quadrilateral
∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)
∵ The opposite sides are AB, CD and AD, BC
Find the slopes of the four sides to check the parallel sides
∵
∵ 
∵ The slope of AB = The slope of CD
∴ AB // CD
∵
∵ 
∵ The slope of AB = The slope of CD
∴ AD // BC
The correct answer is:
Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)
Answer:
The solutions are <u>270°</u> and <u>450°</u>.
Step-by-step explanation:
Given:
.
So, the second and third quadrant angle to be calculated.

°.
And, 
°
Therefore, the solutions are <u>270°</u> and <u>450°</u>.