Question

Solve the bottom b (find x and y). Please show all work will mark brainliest

Answer 1

Answer:

First, we can make a proportion to find y

12/3=y/5

Cross multiply

3*y=12*5

3y=60

Divide both sides by 3

y=20

Next, we can use Pythagorean theorem to find x

a^2+b^2=c^2

a and b are the legs, and c is the hypotenuse

We know a is 15(12+3), b is x, and c is 25(20+5)

15^2+x^2=25^2

225+x^2=625

Subtract 225 from both sides

x^2=400

Take the square root of both sides

x=20

Answer 2

Create an expression to solve for y.

12/3 = y/5

~Multiply 5 to both sides

4 * 5 = y/5 *  5

~Simplify

20 = y

Now that we know what y equals, we can solve for x using the pythgorean theorem (a² + b² = c²)

~Substitute

15² + b² = 25²

~Solve hte exponents

225 + b² = 625

~Subtract 225 to boh sides

225 - 225 + b² = 625 - 225

~Simplify

b² = 400

~Take the square root of both sides

√b² = √400

~Ssimplify

b = 20

Therefore, both x and y equal 20.

Best of Luck!