Estelle drew two parallel lines pq and rs intersected by a transversal kl. which fact would estelle prove that the measure of angle kmq is equal to the measure of angle mns?
1. when both angle kmq and mns are equal to angle rnm, the angles kmq and mns are congruent. 2. when consecutive interior angles qmn and pmn are complementary, the angles kmq and mns are congruent. 3. when alternate interior angles qmn and mnr are supplementary, angles kmq and mns are congruent. 4. when both angle kmq and mns are equal to angle pmn, the angles kmq and mns are congruent.

When same-side, consecutive interior angles QMN and PMN are complementary, the angles KMQ and MNS are congruent.

Step-by-step explanation:

Just took the test!

Hope it helps someone :)

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

hello from mrbilldoesmath!

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

discussion:

in general, the factorization of a^3 + b^3 is

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

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

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

you,

mrb

(a + b) (a^2 - a b + b^2)