Answer:
Pythagorean Theorem:
a^2 + b^2 = c^2
6^2 + b^2 = 12^2
36 + b^2 = 144
b^2 = 108
b = 10.4
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What you have written down is correct, x=-3
Answer:
52/3
Step-by-step explanation:
Use basic Thales therom,

Cross multiply,
3*(5x-8)=4*(3x+7)
3*5x - 3*8 = 4*3x + 4*7
15x - 24 = 12x +28
Add 24 to both sides
15x = 12x + 28 + 24
15x = 12x + 52
Subtract 12x from both sides
15x-12x =52
3x = 52
Divide both sides by 3
x = 52/3
Theophilus had a bag of toffees that he wanted share with all of his best friends.
Because Theophilus had a huge number of best friends, and because he was
concerned for their dental dental health, he began by cutting each toffee into
smaller pieces before passing them out.
He began with 6 toffees in the bag. Each toffee was 3-inches long, and he cut
each piece into 1-inch pieces.
To how many friends was he then ready to hand a chunk of toffee ?
When solved using the distributive property, it will equal 2b+6c