The length of a rectangle is 3 meters less than twice its width.
1 answer:
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Answer:
Option A is correct : . a=115, b=71
Step-by-step explanation:
Consider the attached file.
AB is parallel to CD.
∠1+ a° = 180° (since sum of linear pairs is 180°) ---(A)
And ∠1 = ∠2 because they are corresponding angles.
∠1 = ∠2 = 65°
Putting this value in (A)
⇒65°+ a° = 180°
⇒a° = 180°-65°
⇒a° = 115°
∠3+ 109° = 180°(since sum of linear pairs is 180°) ---(B)
⇒∠3 = 180°-109°
⇒∠3 = 71°
Now, ∠3 = b° (because they are corresponding angles and corresponding angles are equal)
⇒∠3= b°= 71°
Thus Option A is correct : . a=115, b=71
Answer:
Option C. (2x+3)(6x – 5) is the correct answer.
Step-by-step explanation:
Given polynomial(trinomial) is:
The given trinomial is quadratic. Factorization will be as follows:
Multiplying the co-efficient of x^2 and the constant results in 180. We have to make factors of 180 in such a way that their sum of difference is equal to the co-efficient of x.
The required factors are 18 and 10
So,
Hence,
Option C. (2x+3)(6x – 5) is the correct answer.