How many lines of symmetry does this figure have?
2 answers:
Answer: The figure has 1 line of symmetry.
Step-by-step explanation:
A figure is said to has a line of symmetry if we can draw a line that divides the entire figure into two equal halves, so that each half appears as a reflection image or the mirror of the other.
In the given picture , if given a figure of alphabet W.
It has only a vertical symmetry ( see below the line of symmetry divides W into two Vs) but no horizontal symmetry and any other symmetry.
Therefore , it has only one line of symmetry.
Hence, the figure has 1 line of symmetry.
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Two mixed numbers as and
the least common denominator (LCD) is 12.
<u>Step-by-step explanation:</u>
The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. Also known as the lowest common denominator, it is the lowest number you can use in the denominator to create a set of equivalent fractions that all have the same denominator.
<u>Steps to find the LCD of fractions, integers and mixed numbers:</u>
- Convert integers and mixed numbers to improper fractions
- Find the LCD of all the fractions
- Rewrite fractions as equivalent fractions using the LCD
Let's us have two mixed numbers as and
.
Equivalent Fractions with the LCD
=
=
For the denominators (6, 12) the least common multiple (LCM) is 12. Therefore, the least common denominator (LCD) is 12.
We are given the equation:
..........(1)
Now we have to write it in quadratic form using substitution.
The general form of quadratic equation is given by:
So let us say
.......(2)
Plugging the value of (x-5)² from equation (2) in (1),
Answer : Option B.