In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

$x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20
$

The length of a side must be a positive number, so x=15.
The answer is C.

6 0

3 years ago

Peggy completed 5/6 of the math homework and Al completed 4/5 of the math homework. Did Peggy or Al complete more of the math ho

xeze [42]

Peggy completed more because more equal parts that are smaller with more shaded means it has to be more.

3 0

2 years ago

Read 2 more answers

What are the differences between an (Algebraic) equation and expression?

lara31 [8.8K]

Hello!

An equation has an (=). They equal something. For example, 1+1=2 is an equation.

An expression does not have an equal sign. For example, 2 or 1+3 are both expressions. They have no equal sign.

I hope this helps!

6 0

2 years ago