triangle abc has been rotated 90° to create triangle def. write the equation, in slope-intercept form, of the side of triangle abc that is perpendicular to segment ef. you must show all work to receive credit.

y = x + 1

step-by-step explanation:

slope-intercept form : y = mx + b

where m is slope and b is the y-intercept

the side of triangle abc perpendicular to segment ef is the segment bc. (also shown in the figure how the projected lines are perpendicular to each other)

point b : (4,5)

point c : (1,2)

slope is calculated as: (y2-y1)/(x2-x1)

it doesnt matter which point is 1 or 2. taking b as 2 and c as 1:

slope = (5-2)/(4-1) = 3/3 = 1

y-intercept is clearly shown in the figure: 1

equation in slope-intercept form:

y = x + 1

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: