Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated
2 answers:
Answer:
Option D.
Step-by-step explanation:
The vertices of given triangle are (2,-2), (5,-2) and (2,2).
Distance formula:
Using distance formula, the length of sides of given triangle are
The sides of similar triangles are proportional.
Similarly, find the sides for each option.
The vertices of option D are
(2,-2), (8,-2), (2,6)
Using distance formula, the length of sides of this triangle are
It is noticed that
Since the sides of given triangle and side of triangle in option D are proportional. Therefore, the correct option is D.
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If a number "n" gives a remainder of 5 when divided by 16, it will give a remainder of 5 when divided by 8.
As per the question statement, a number "n" gives a remainder of 5 when it is divided by 16.
We are required to calculate the remainder when "n" is divided by 8.
To solve this question, we need to know the relation between Dividend, Quotient, Divisor and Remainder.
[(Quotient * Divisor) + Remainder = Dividend]
Here, (Divisor = 16), (Dividend = "n"), (remainder = 5) and let our Quotient be "x".
Now, we will form a linear equation in one variable, based on the above mentioned relation between Dividend, Quotient, Divisor and Remainder and the conditions mentioned in the question statement, i.e.,
...(where "x" is any positive integer)
Assuming (2x = y), we get that
That is, the same number "n" will give a remainder of 5 when divided by 8.
- Remainder: When a number cannot exactly divide another number, the left over amount is know as the remainder of that division.
- Linear Equation: In Mathematics, a linear equation is an algebraic equation which when graphed, always results in a straight Line and thus, comes the name "Linear". Here, each term has an exponent of 1 and is often denoted as (y = mx + c) where, 'm' is the slope and 'b' is the y-intercept.
To learn more about Remainder, click on the link below.
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