Ray is 12 miles from home.
Let x be Ray's distance from home. His distance is one leg of a right triangle; 5, Rosa's distance from home, is the other. The hypotenuse, the distance between them, is 1 more than Ray's distance from home, or x+1. Using the Pythagorean theorem,
5²+x²=(x+1)²
25+x²=(x+1)(x+1)
Multiplying the binomials, we have
25+x²=x*x+1*x+1*x+1*1
25+x²=x²+1x+1x+1
25+x²=x²+2x+1
Subtracting x² from both sides,
25 = 2x+1
Subtracting 1 from both sides,
24 = 2x
Divide both sides by 2, and we have
12 = x
Ray is 12 miles from home.
Answer: C
Step-by-step explanation:
5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)
The area of a <span>isosceles triangle:
S=(bh)/2, where b is for base (=4) and h is for height (=x+3)
We get the equation:
10=(4*(x+3))/2
10=(4x+12)/2
4x+12=20
4x=8
x=2
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