Answer:
XY = 16
Step-by-step explanation:
The ratio is 3 to 2 meaning that the sides of the triangle ABC and triangle AYY are in a ratio of 3 to 2. You are comparing the big triangle to the small triangle and the sides are compared the same way.
3:2 = 24:XY
3/2 = 24/XY
3 XY = 48
XY = 48/3
XY = 16
Y=mx+b
m=slope
b=yintercept
given
slope=-1/4
yint=5
y=-1/4x+5
Answer: OPTION A
Step-by-step explanation:
Let be "a" the number of adults tickets they sold and "s" the number student of tickets they sold.
With the information given in the exercise you can set up the following System of equations:

Use the Elimination method to solve the system of equations:
1. Multiply the first equation by -6.
2. Add the equations.
3. Solve for "s" in order to find its value.
Then:

4. Finally, substitute the value of "s" into the first equation and solve for "a":

Answer:

Step-by-step explanation:
Let
x ----> the length of the third side of triangle in Lauren's sculpture
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
Applying the Triangle inequality Theorem
1) 

Rewrite

2) 

therefore
The possible values of x are
