Helllppp pythagoreum ! idk how to do thiss

The Pythagorean Theorem is a² + b² = c², where a and b are the two shorter sides, and c is the hypotenuse, or the longest side.

For this triangle, a and b could be either 8 and 6, so let's just make a=6 and b=8. Now a=6 because we are applying the theorem to one half of the triangle, so we have to split the bottom length in half. Then  c will be side x, because that is the longest side, i.e. the hypotenuse.

a² + b² = c²

6² + 8² = c²

36 + 64 = c²

100 = c²

=

10 = c

c = x

x = 10

The value of x is 10

Hope that helps!

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is