Geometry ∠1 and ∠2 are vertical angles. If m∠1 = 17x + 1 and m∠2 = 20x – 14, find m∠2.
1 answer:
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Answer:
Correct choice is C). mn=ac
Step-by-step explanation:
Given statement is that the first step in factoring a trinomial of the form is to find two numbers, m and n, such that m + n = b and _____.
We know that when we factor polynomial of type ,product of both numbers m and n must be same as product of a and c.
Hence correct choice is C). mn=ac
Question:
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to .
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
5n = 3d and n - 2 = 2d - 4
5n = 3d and 2n - 4 = d - 2
3n = 5d and 2n - 4 = d - 2
Answer:
5n = 3d and 2n – 4 = d – 2
Solution:
Let n be the numerator of the fraction and d be the denominator of the fraction.
Given the numerator and denominator of a fraction are in the ratio of 3 to 5.
This can be written as n : d = 3 : 5.
⇒ – – – – (1)
Do cross multiplication, we get
⇒ 5n = 3d
When the numerator and denominator are decreased by 2, the fraction is equal to .
⇒
Do cross multiplication, we get
⇒ 2(n –2)=1(d – 2)
⇒ 2n – 4 = d – 2
Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.