Question

Plot the points P(1,0), Q(4,0) and S(1,3). Find the coordinates of point R such that PQRS is a

square.

Q3. Find the angle which is five times its complement.

ANSWER FOR LIKE​

Answer 1

Q.1) All sides of a square are equal
So, Calculating the side of the square,
Q-P=length of 1 side
4-1=length
Length of side= 3 units

So, adding 3 units to both X coordinate of S and y coordinate of Q will give R

X coordinate = 1+3=4
Y coordinate = 0+3=3

Therefore, R=(4,3)
(Picture provided for this answer)


Q.3) Complementary angles= 2 angles add up to 90°

So, for getting an angle 5 times it’s complement,

Let the angle be x
Therefore, Complementary angle=90-x
According to the condition given,
x=5(90-x)
So, calculating x,
x=450-5x
6x=450
x=75

We can check by seeing it’s complement
75+15=90

15*5=75

75 is five times 15.

Hope this helped you....
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