Answer:
5 cm
Step-by-step explanation:
If AB is tangent to the circle k(O), then radius OB is perpendicular to segment AB.
If BC is tangent to the circle k(O), then radius OC is perpendicular to segment AC.
Consider two right triangles ABO and ACO. In these triangles:
- AO is common hypotenuse;
- ∠OBA=∠OCA=90°, because AB⊥OB, AC⊥OC;
- OB=OC as radii of the circle k(O).
By HL theorem, triangles ABO and ACO are congruent. Then
- ∠OAB=∠OAC=30°;
- AC=AB=5 cm.
Hence, ∠BAC=∠OAB+∠OAC=30°+30°=60°.
Consider triangle ABC, this triangle is isosceles triangle. In isosceles triangles angles adjacent to the base are congruent, thus
∠CBA=∠BCA=1/2(180°-60°)=60°.
Therefore, triangle ABC is an equilateral triangle, so BC=AB=AC=5 cm.
A polygon with 3 sides is a triangle!
A linear equation represents a straight line.Thus, the solution of the system of linear equation depends on whether the lines intersect, not intersect or same line.
We have below cases:-
- The lines are non parallel and intersect at exactly one point. In this case we have one solution.
- The lines are parallel and hence never intersect. There is no solution in this case.
- The two lines represents the same line. Hence, infinitely many solutions.
We never got exactly two solutions because two lines can intersect at a single point.
Answer:
Jack is evil.
Step-by-step explanation:
Jack wasn't very smart, one-day jack made a science experiment to increase the temperature of frogs 2 fold every week starting from 2 degrees Celcius, the graph shows how much he cooked the poor frog in the weeks that sadly, followed.
(in case you don't know fold just means multiplied by that much so 20k$ going 10 fold is 200k$)
2 because it is the number being added to the zero intercept in the equation
