HELP guys ily please help

Choice A) Alternate exterior angles are congruent

This is due to the alternate exterior angles theorem.

A more in depth answer would involve a multiple number of paths to take. One such path could have us noticing the following two properties

Both congruences are due to the vertical angle theorem.

Furthermore,

angle 4 = angle 5

because they are alternate interior angles

Then by the transitive property, we effectively connect the dots or the chain links to get to angle 1 = angle 8. We can also use the substitution property as well.

Side note: angles 1 and 8 are outside the parallel lines 'a' and m, so they are considered exterior angles. Also, they are on alternating sides of the transversal line t. These two facts lead to angles 1 and 8 being alternate exterior angles.

answer: 20

step-by-step explanation:

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb