Answer:
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
Answer:
85
Step-by-step explanation:
Pythagorean Triples obeys the Pythagoras Theorem.
We want to find is the value of x if (13, 84, x) is a Pythagorean triple.
We apply the Pythagoras Theorem to obtain:

We simplify to get:


Take positive square root;

Well, for 20 you just add them, to get

. For 21, you do a substraction:

. It'd take him quite some time (does this one even have zeros? :)) )
Answer:
Area=
Step-by-step explanation:
Area of circle is given as:

Where 
To find radius of a circle circumscribing an equilateral triangle, we use the expression

Where, a is the length of sides of the equilateral triangle. Therefore:-
We can then proceed and calculate the area of the circle as follows:-

*The attached picture illustrates what the circumscribed equilateral triangle looks like
Well we don’t know what’s given