Option B is right perpendicular bisectors of the sides of the triangle
<h3>What circumcircle?</h3>
If we draw a circle through all the vertices of a triangle then the circle obtained is the circumcircle of the given triangle. We have in a triangle there are some properties inherent.
One is the perpendicular bisectors of all sides are concurrent. These three concur at a point called the circumcentre of the triangle.
When we draw a perpendicular bisector for a side AB, we get that all points on the perpendicular bisector are equidistant from A and B.
When we take the point of intersection of the perpendicular bisector of AB and BC, we have the intersecting point S(say) is equidistant from A and B and also from B and C
In short, this is equidistant from all 3 vertices and hence is the centre of the circumcircle of triangle ABC
Therefore Option B is right perpendicular bisectors of the sides of the triangle.
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The answer should be -14/16
17y-8=12+13y
4y=20
y=5
11x-4=117
11x=121
x=11
This is the answer, and I have steps, if have any questions, message me.
Answer:
16/24 and 12/18, in simplest form 2/3
Step-by-step explanation:
8 parts juice
fruit and crushed ice = 3 + 9 = 12
ratio of juice to fruit and crushed ice is 8:12 or 8/12
8/12 (2/2) = 16/24
8/12 (1.5/1.5) = 12/18
in simplest form
8/12 (1/4 / 1/4) = 2/3
We want to use the Addition-Subtraction method to solve
8.92x - 5.42y = 3.41 (1)
5.83x + 1.07y = 2.37 (2)
We shall eliminate y from the two equations by Addition.
Multiply (1) by 1.07 and multiply (2) by 5.42 to obtain
1.07*(8.92x - 5.42y) = 1.07*3.41
9.5444x - 5.7994y = 3.6487 (3)
5.42*(5.83x + 1.07y) = 5.42*2.37
31.5986x + 5.7994y = 12.8454 (4)
Add (3) and (4) to obtain
9.5444x - 5.7994y + 31.5986x + 5.7944y = 3.6487 + 12.8454
41.143x = 16.4941
x = 0.4009
From (2), obtain
1.07y = 2.37 - 5.83x
= 2.37 - 5.83*0.4009
= 0.0328
y = 0.0307
Answer:
x = 0.4009
y = 0.0307