Find the value of x in the figure shown
2 answers:
You might be interested in
Answer:
Children ticket cost $30 and adult ticket costs $40.
Step-by-step explanation:
Given that:
x = price of a child ticket
y = price of an adult ticket
According to given statement;
3x+2y=170 Eqn 1
4x+6y=360 Eqn 2
Multiplying Eqn 1 by 3
3(3x+2y=170)
9x+6y=510 Eqn 3
Subtracting Eqn 2 from Eqn 3
(9x+6y)-(4x+6y)=510-360
9x+6y-4x-6y=150
5x=150
Dividing both sides by 5
Putting x=30 in Eqn 1
3(30)+2y=170
90+2y=170
2y = 170-90
2y = 80
Dividing both sides by 2
Hence,
Children ticket cost $30 and adult ticket costs $40.
Constructing an a circle inscribed in a triangle involves these steps:
i) Draw 2 (or 3) of the angle bisectors. Their point of intersection is the center of the inscribed circle, or the incenter. Let's denote this point by O
ii) Draw a perpendicular line segment from the incenter to one of the sides. Let the intersection of the perpendicular from O and the side be T.
iii) Draw a circle with center the incenter, and radius the distance OT.
Answer: B) Only perpendicular bisectors are not involved.
i) Draw 2 (or 3) of the angle bisectors. Their point of intersection is the center of the inscribed circle, or the incenter. Let's denote this point by O
ii) Draw a perpendicular line segment from the incenter to one of the sides. Let the intersection of the perpendicular from O and the side be T.
iii) Draw a circle with center the incenter, and radius the distance OT.
Answer: B) Only perpendicular bisectors are not involved.