The base of a ladder is placed 6 ft from the bottom of the house. The ladder touches the side of the house 8 ft up on the wall. Calculate the length of the ladder.

10 ft

Step-by-step explanation:

Step-by-step explanation:

Draw a picture. The ladder is the hypotenuse of a right triangle with legs of length 6 ft and 8 ft.

length of ladder = √(6²+8²) = 10 ft

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!

c. side angle side. u shares the same sides