X = 1 hr lessons and y = 1/2 hr lessons
x + y = 35......y = 35 - x
40x + 25y = 1115
40x + 25(35 - x) = 1115
40x + 875 - 25x = 1115
40x - 25x = 1115 - 875
15x = 240
x = 240/15
x = 16 <=== there are 16 one-hr lessons
and 19 half-hr lessons
So, we have x=√8x. The square root is a number times itself, so x=√x*x. That means that 8 is x.
Answer:
The smaller number is 0.6666... repeating, and the larger number is 1.3333... repeating.
Step-by-step explanation:
For the smaller triangle ;
15^2 + b^2 = 17^2
b = 8
To check the work
15^2 + 8^2 = 289
17^2 = 289
(This is if the bottom number on the smaller triangle says 15, its a bit hard to read..)