Answer: radius: 6, center: (3,-4)
Step-by-step explanation:
Given:
Consider the below figure attached with this question.
In circle A below, chord BC and diameter DAE intersect at F.
The arc CD = 46° and arc BE = 78°.
To find:
The measure of angle BFE.
Solution:
According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.
Using intersecting chords theorem, we get




Therefore, the measure of angle BFE is 62°.
The probability to pick anything other then orange is 0.86
Answer:
Length = 12cm
Step-by-step explanation:
The dimensions of the recatngle is:
- width → x
and
- length → x+7
The area of a rectangle follows the formula: length*width
Meaning: x * (x + 7) = 60
Expand that: x^2 + 7x = 60
Rearragne the equation and factorise it
(x-5)(x+12) = 0
The width cannot be a negative value, so the answer must be 5.
Remember that x was the width and the length is the width add the 7.
So the length is 12 cm.