3x + 4 divided by 2 = 9.5
2 answers:
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The standard form of the equation of a circle with center (h, k) and radius r is
(x-h)² + (y-k)² = r²
You have a circle centered at (-3, 1) with radius 1, so the standard form equation is
(x+3)² + (y-1)² = 1
(x-h)² + (y-k)² = r²
You have a circle centered at (-3, 1) with radius 1, so the standard form equation is
(x+3)² + (y-1)² = 1
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
Now, SRT is a straight line.
(Linear pair)
...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
Therefore, the value of x is 103 degrees.