Answer:
I. (x - 6)² + (y + 7)² = 121
Step-by-step explanation:
Given a circle with coordinates of the center as (6, -7), and with a diameter of 22, equation of the circle is given below using the standard equation formula of a circle:
Formula => (x - a)² + (y - b)² = r²
Where,
a = 6
b = -7
r = radius of circle = ½ of diameter = ½ of 22 = 11
Thus, plug in the above values into the standard equation formula:
(x - 6)² + (y - (-7))² = 11²
(x - 6)² + (y + 7)² = 121
<em>Our answer, which is the equation of the circle is I. (x - 6)² + (y + 7)² = 121</em>
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You take 1.2 and multiply it by 1.29, which gives you the answer, which is $1.55
Answer B I’m not sure if it’s right
Answer:
m∠J = 45° , m∠I = 45° and m∠M = 90°
And the ΔJIM is an isosceles right angled triangle.
Step-by-step explanation:
(a). In ΔJIM,
∠J = 2x + 15,
∠I = 5x - 30, and
∠M = 6x
Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°
⇒ ∠J + ∠I + ∠M = 180°
⇒ 2x + 15 + 5x - 30 + 6x = 180°
⇒ 13x -15 = 180°
⇒ 13x = 195
⇒ x = 15
Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°
(b). Now, ΔJIM is a right angled triangle right angled at M.
Also, ∠J = ∠I = 45°
So, JM = IM ( because in a triangle sides opposite to equal angles are equal)
So, ΔJIM is an isosceles triangle because its two sides are equal.
Hence, ΔJIM is a right angled isosceles triangle right angled at M.
