What is the answer to this problem? ignore the work. what is the correct answer?

c = 42.5

Step-by-step explanation:

The legs of the triangle are a and b and the hypotenuse is c

Let a be the shorter leg

The hypotenuse is 5 more than the longest leg

c = b+5

The shortest leg is 20

a = 20

We can use the Pythagorean theorem

a^2 +b^2 = c^2

Substituting in what we know from above

20 ^2 + b^2 = (b+5)^2

FOIL  (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25

400 + b^2 = b^2+10b+25

Subtract b^2 from both sides

400+b&2-b^2 = b^2 -b^2 +10b+25

400 = 10b+25

Subtract 25 from both sides

400-25 = 10b+25-25

375 = 10b

Divide by 10

375/10 = 10b/10

37.5 = b

But we want to find c

c=b+5

c = 37.5+5

c = 42.5

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

2/3

step-by-step explanation: