Which steps can be done to both sides of the equation to determine the value of x? 3.2 x - 9.6= 38.4
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17. Arc AB has a measure of 90 degrees. This means the angle subtending this arc (angle APB) is a right angle, and so triangle PAB is is a right triangle. The sides of the triangle AP and BP have length equal to the radius of the circle. By the Pythagorean theorem,
so the answer is A.
20. To find the measure of arc AUB, we need to find the measure of the central angle AQB. This angle is part of the quadrilateral AQBP, which is a kite because we're given that PQ and AB are perpendicular.
Arc AVB has measure 60 degrees, so the central angle subtending it (angle APB) also has measure 60 degrees. PQ bisects this angle, so angle APQ has measure 30 degrees.
QA is tangent to circle P, so angle PAQ is a right angle. The sum of the measuers of the interior angles of any triangle is 180 degrees, so
PQ also bisects the angle AQB, so that , and therefore the angle AQB has measure 120 degrees, which in turn is the measure of arc AUB.
Here it is given that the width is x ft and total length of the fence is 2400 ft .
Let the length be y ft
So we have
Let A represents area, and area is the product of length and width .
So we get
Substituting the value of y, we will get
Second part
The area is maximum at the vertex, and vertex is
And
And that's the required dimensions .