The two similar triangles are triangle BXY and triangle BAC. Since line XY is parallel to segment AC, angle BXY is congruent to angle A, and angle BYX is congruent to angle C. Since two corresponding angles are congruent, we use one of our similarity conjectures, Angle-Angle, to show these triangles are congruent.
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Hope this helps!
Let x be amount of music lessons
Member = 100 + 20x
Non member = 30x
Must be same, so 100 + 20x = 30x
Solve for x:
Group like terms.
100 = 30x - 20x
100 = 10x
100/10 = x
x=10
10 music lessons for member and non member to have same costs of $300.
Im not very good at maths. But this seems easy :D. I'm still a beginner, but please give me points.
Answer:
(c) 4
Step-by-step explanation:
Given
The piecewise function
Required
The value in f(x) domain
The domain of f(x) is:
and 
Combine both inequalities:

List the values of the inequality

From the list of given options
Only 4 is among the domain
Others are not
500 * (1+ (0.0575*25))= 1,218.75
Mass is the amount of matter stored in an object, and capacity is the maximum amount that something can contain. Meat, rice, cereal, and fruits are commonly measured in terms of mass. (I'm not sure about the items measured in terms of capacity.)