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.
Answer and Step-by-step explanation:
1. square and 20 ft because each side is 5 ft and 5+5+5+5=20
2. triangle and 25 ft because 12+5+8=25 ft
3. trapezoid but Im not sure what the side lengths are for that one so i dont know what the perimeter is
4. Parallelagram and the same as what happened with number three
5. hexagon and 8+8+8+8+8+8= 48 ft
<h2>
Answer with explanation:</h2>
The given function : 
Using completing the squares, we have
[∵ 
]
(1)
Comparing (1) to the standard vertex form 
, the vertex of function is at (h,k)=(-1,-4)
For x-intercept, put f(x)=0 in (1), we get
Square root on both sides, we get
∴ x intercepts : x= (-3,0) and (1,0)
For y-intercept put x=0 in (1), we get
∴ y intercept : (0,-3)
Axis of symmetry : 
In , a=1 and b=2
Axis of symmetry=
If a diameter intersects a chord of a circle at a perpendicular then the chord is bisected.
<h3>What is the relation between the chord and diameter of a circle?</h3>
- The segments of a circle whose endpoints are on its perimeter are called chords.
- A circle's diameter is the chord that passes across its center.
- The circle's longest chord equals its diameter.
- Any line that is perpendicular to a chord on the circle cuts it in half and goes through the center.
The solution to the problem:
A circle's chord is intersected perpendicularly by its diameter, which also passes through the center of the circle. The chord and diameter are perpendicular. Any line that is perpendicular to a chord on the circle and passes through its center divides it. The chord is divided equally by the diameter.
Therefore, the chord is bisected.
Learn more about diameter and chord at: brainly.com/question/12934647
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