Which of the following statements is the reason for line 2 in the proof? a.) right angles are equal. b.) vertical angles are equal. c.) definition of bisects.

Option 'B' is correct.

Step-by-step explanation:

Since we have given that

∠A=∠B=90⁰

AC=BD

and

∠AMC =∠BMD

Reason : Vertical opposites angle are equal.

So,

ΔAMC  ≅ΔBMD

Reason : By ASA Congruence Criteria .

Hence, Option 'B' is correct.

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

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