For 12:
Since the line y = mx + c is a tangent, then the distance from the centre of the circle to the line is equal to the radius.
Using perpendicular distance:
Squaring both sides, we get:
, as required.
<h3>
Answers: x = 30 and y = 150</h3>
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Explanation:
For any cyclic quadrilateral (aka inscribed quadrilateral), the opposite angles are always supplementary.
One pair of such angles is A and C
A+C = 180
x+y = 180 is one equation to form
The other pair of supplementary angles is B and D
B+D = 180
y-45+2x+15 = 180
2x+y-30 = 180
2x+y = 180+30
2x+y = 210 is the other equation to form
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So the system of equations we have is
Both equations involve 'y', with the same coefficient, so we can subtract straight down to eliminate this variable.
- The x terms subtract to x-2x = -x
- The y terms subtract to y-y = 0y = 0, so the y terms go away
- The right hand sides subtract to 180-210 = -30
We end up with -x = -30 which solves to x = 30
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Once we know x, we can determine y by plugging it into any equation involving x,y and solving for y
Let's say we picked on the first equation
x+y = 180
30+y = 180
y = 180-30
y = 150
Or we could pick on the second equation
2x+y = 210
2(30) + y = 210
60+y = 210
y = 210-60
y = 150
Only one equation is needed. However, doing both like this shows that we get the same y value, and it helps confirm the answers.
Answer:
see below
Step-by-step explanation:
They are 150% of the recommended daily allowance. There is a certain amount of a vitamin or mineral that a person is supposed to get to meet nutritional needs. The amount in the food exceeds that amount
150% is 150:100
or 3:2
Answer:
100:60 simplified to 10:6
Step-by-step explanation:
for every 100 milk cartons put out 60 milik cartons are taken. so 100:60 or simplified to 10:6
Answer:
the answer and explanation is there in the picture above as I found it hard to answer through text.
don't mind my messy handwriting...
I was writing fast.
Step-by-step explanation:
i hope this helps...
please give me brainliest if you find my answer helpful...
thank you and have a great day ahead :)