We can solve this by using systems of equations.
Let's find our first formula, how much money was made using the tickets.

Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!
since we sold 156 tickets that could be any combination of child and adult tickets.
Let's solve this system. I'm going to use <em>substitution</em> so I'm going to take our second formula and subtract both sides by x to get
.
Now I will plug this in the first equation for y to get You plug it in for y to get
From this you can solve for x to get
.
Since 


There were 99 child tickets and 57 adult tickets.
Answer:
Step-by-step explanation:
Circumference is= to diameter * Pi

For the ones that are radius, double it, then pi

Answer:
d. ∆UVW ∼ ∆UWT ∼ ∆WVT
Step-by-step explanation:
Two triangles are similar if the corresponding angle are congruent and if the ratio of the corresponding sides are proportional.
The logic is in three scenarios. The Cases that lead to similarities in a triangle can be expressed as follows
i. If two sides of a triangle are in the same ratio to the corresponding side of another triangle and the included angle are the same.
ii. If the three corresponding sides are in the same ratio then the triangles are similar.
iii. Also if the angles are of a triangle is congruent to the corresponding angles of another triangles they are similar.
Circumference of a circle
C = 2πr
since r = 14 then
C = 2π14
C =28π.
Area of a circle
A = πr²
A = π14²
A = 196π
Answer:
(3,0)
Step-by-step explanation:
Co-ordinates of J =(4,3)
Co-ordinates of K = (2,-3)
Midpoint formula :
= 
<u>Coordinates of the midpoint M </u><u>(3,0)</u>