Answer:
The triangles are congruent because:
- QP = ST
- angle P = angle T
- the side PT is in both triangles
We know when 2 sides of two triangles and the angle between them is congruent, the triangles are congruent.
Evaluate f(1) then set equal to 5.
No solution
Using a system of equations, it is found that there are 34 pop songs are on the playlist.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable x: Number of hip-hop songs.
- Variable y: Number of pop songs.
Brandon has a playlist with 83 hip-hop and pop songs, hence:
x + y = 83.
There are 15 more hip-hop songs than pop songs, hence:
x = 15 + y.
Replacing the second onto the first equation:
x + y = 83.
15 + y + y = 83.
2y = 68.
y = 34.
There are 34 pop songs are on the playlist.
More can be learned about a system of equations at brainly.com/question/24342899
Like terms are when numbers with and without variables can be combined. ex: 4x+6-8x+=32
you would first combine 4x and -8x because they are the same.
