REASONING . Given that NPQR, MN congruent to MR and NP congruent to QR, fill in the
reasons below to prove that triangle MPQ is isosceles.

Statements
Reasons
(1) NPQR, MN congruent to MR, NP congruent to QR
(2) angle N congruent to angle R
(3) triangle MNP = triangle MRQ
(4) MP =MQ
(5) triangle MPQ is isosceles

saving = more money

step-by-step explanation:

if you have 100 bucks, and you want to buy a candy bar, even if you have one at home, if you choose not to buy it, you save.

~courtney

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24

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