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.

Which answer goes into the box? (90° clockwise rotation, 90° counter clockwise rotation, translation, or glide reflection)

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above

Solve for x where 0 equation: cot^2x+2cotx+1=0