Peter walks 30 feet away from his house and places a mirror on the ground. he backs 6 feet away from the mirror so that he can see the tip of the roof. peter's eyes are 5 feet above the ground. peter and the house are both perpendicular to the ground. the angles between the top of the house, the mirror, and the ground and between peter's eyes, the mirror, and the ground are congruent as shown in the image below: what is the height of the house? show your work and explain your reasoning in complete sentences.

Match the scale and the actual area to the area of the corresponding scale drawing. scale: 1 inch to 4 feet actual area: 128 square feet scale: 1 inch to 7 feet actual area: 147 square feet scale: 1 inch to 8 feet actual area: 256 square feet scale: 1 inch to 5 feet actual area: 225 square feet area of scale drawing scale and actual area scale drawing area: 3 square inches arrowright scale drawing area: 8 square inches arrowright scale drawing area: 4 square inches arrowright scale drawing area: 9 square inches arrowright

Solve for the equation x. 2x + 22 = 4(x + 3)

Based on the diagrams, what is the value of x?