Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34
Remember that, for independent events, the probability that both occurr is the product of the individual probabilities.
a) Probability of being contacted: 78% = 0.78
Probaility of refusing: 1 - 22% = 1 -0.22 = 0.78
Combined probability: 0.78*0.78 = 0.6084
b) The probability of failing to contact or making contact and not geeting them to agree 1 - the probability of contacting and getting them to agree.
The probabilityof contacting and getting them to agree is 0.78*0.22 = 0.1716
The the answer to this question is 1 - 0.1716 = 0.8284
The line GH bisects The triangle FGI meaning it divides it into two equal parts <em>(that is the definition if bisection); </em>therefore, the angles FGH and HGI are equal:

Now let us add 2 to both sides gives

subtracting 4x from both sides gives


Hence, x = 11.
The measure of FGH is

(B)
The measure of HGI is

(C)
The measure of FGI is the sum of HGI and FGH:

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Answer:
Option D.) 236 degrees
Step-by-step explanation:
Angle GFE is half of the central angle. Measure of central angle is congruent to it's intersecting arc, therefore;
<em>2 * ∠GFE = Arc GE (?)</em>
2 * 118 = Arc GE (?)
<u>236 = Arc GE (?)</u>
Hope this helps!