Annie walks 15 feet away from her house and places a mirror on the ground. she backs 4 feet away from the mirror so that she can see the tip of the roof. annie's eyes are 5 feet above the ground. annie and the house are both perpendicular to the ground. the angles between the top of the house, the mirror, and the ground and between annie's eyes, the mirror, and the ground are congruent as shown in the image below: image depicts a mirror on the ground between a person and a house. the mirror is 4 feet away from the person and 15 feet away from the house. what is the height of the house? show your work and explain your reasoning in complete sentences.

The radical equation 2+√2x-3 = √x+7 has a solution set [x= a0} and an extraneous root x = a1.

Which shows a reasonable estimation for 124% of 42 using the distributive property?

(i really need ) read the story problem, and then answer the questions that follow. gordon works for a graphic design firm and is creating a label for a food truck vendor. the vendor specializes in finger food and wants to sell food in right conical containers so that they are easy for people to hold. to complete his label, gordon needs to collect several different measurements to ensure that the label he designs will fit the surface of the container. gordon has been told that the containers have a diameter of 4 inches and a height of 6 inches. part a: find the slant height of the cone. the slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface. show your work. part b: find the measure of the angle formed between the base of the cone and a line segment that represents the slant height. part c: imagine two line segments where each represents a slant height of the cone. the segments are on opposite sides of the cone and meet at the apex. find the measurement of the angle formed between the line segments.