Hi there! :)

The two angles pictured are vertical angles, therefore:
8x - 6 = 6x + 12
Solve for x by subtracting 6x from both sides:
2x - 6 = 12
Add 6 to both sides:
2x = 18
Divide both sides by 2:
x = 9.
Answer:
15n
Step-by-step explanation:
Amal has a bookcase with n shelves. There are 15 books on each shelf. Using n, write an expression for the total number of books.
The expression for the total number of books is given as:
Number of shelves × Number of books in each shelf
= n × 15 books
= 15n
Answer:
So, Y (the up and down part of the graph) equals K (The constant of proportionality, you get it by dividing Y by X), times X (the side by side part of the graph.)
Answer:11
Step-by-step explanation:
Boys : girls=7:1
Sum of ratio=7+1=8
Let them number of girls be y
Then they number of boys=y+66
Total number of pupils=y+y+66
Total number of pupils=2y+66
Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)
y=1/8 x (2y+66)
Cross multiply
y x 8=2y + 66
8y=2y + 66
Collect like terms
8y-2y=66
6y=66
Divide both sides by 6
6y/6=66/6
y=11
The number of girls is 11