Answer: Option (B) is the correct answer.
Step-by-step explanation:
A point at which three altitudes of a triangle meet is known as orthocenter.
Whereas when a circle is inscribed in a triangle and it touches all the sides of a triangle then the center of circle is known as incenter.
When all the three medians of a triangle intersect each other then the point is known as centroid.
Circumcenter is a point where perpendicular bisectors on each side of a triangle bisect and this point is equidistant from all the vertices.
Answer:
Step-by-step explanation:
its c=5
6y+18+3=51
6y+21=51
6y=51-21
6y=30
y=5
This would look like 6x/11. Since the problem doesn’t state the answer then you would simply write the expression.
Answer:
1 : 4 , 1 : 4
Step-by-step explanation:
= 3 : 12 , 48 : 192
= 3/12 , 48/192
= 1/4 , 1/4
= 1 : 4 , 1 : 4
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Answer:
67.5°, 107.5°
Step-by-step explanation:
For supplementary angles, their sum equals 180°.
Let x be the first angle and y be the second angle, then
x + y = 180°.
It is given that x = y + 45°.
So x + y = 180°
substituting x into the equation, we have
y + 45° + y = 180°
simplifying, we have
2y + 45° = 180°
collecting like terms, we have
2y = 180° - 45°
2y = 135°
dividing through by 2, we have
y = 135°/2
y = 67.5°
Since y = 67.5°
then x = y + 45°
x = 67.5° + 45°
x = 107.5°
