Answer:
<h2>
i) Angle AOC is 95° </h2>
Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles.
<h2>
ii) Angle BOC is 85°</h2>
Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°)
Angle AOC is 95°, So:-
95° + Angle BOC = 180°
Angle BOC= 180° - 95°
<h3><u>
Angle BOC = 85°</u></h3>
<u></u>
<h2>
iii) Angle DOE is 17°</h2>
Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°)
So,
68° + Angle DOE+ 95° = 180°
163° + Angle DOE = 180°
Angle DOE= 180° - 163°
<h3><u>
Angle DOE is 17°</u></h3>
The center is at origin O(0,0).
If it contains the point, P(-8,6), then the radius r is, by Pythagoras theorem,
r=sqrt((-8)^2+6^2)=10
The general equation of a circle at centre (xc,yc) with radius r is given by
(x-xc)^2+(y-yc)^2=r^2
Substituting r=10, (xc,yc)=(0,0)
the resulting equation is therefore
(x-0)^2+(y-0)^2=10^2
or simply
x^2+y^2=100
Answer:
assuming 10 cups it 10 parts then the answer is 4 cups of seltzer
Shown below
<h2>
Explanation:</h2>
Here we have a line given by the equation:

This line is given in Slope-intercept form, recall that this form is as follows:

So in this case:

So a point that lies on the line is:

Another point would be:

So the line must pass through these two points. By using graphing tool we get the line shown below.
<h2>Learn more:</h2>
Matching graph with equations: brainly.com/question/13015874
#LearnWithBrainly
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Step-by-step explanation: