One angle measures 54 more degrees than 3 times another angle. the angles are supplementary. what are their
measures?
some friends went to the local movie theater and bought four large buckets of popcorn and six boxes of càndy. the
total for the snacks was $46.50. the last time you were at the theater, you bought a large bucket of popcorn and a box of candy, and the total was $9.75. how much would 2 large buckets of popcorn and 3 boxes of candy cost?

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c