Formal proof
Statement Reason
ΔABC is a right triangleBD ⊥ AC Given
∠ ABC = ∠BDC Right angles have the same measure.
∠ BCA = ∠ BCD same angle
ΔABC ~ΔBDC AA Similarity Postulate
BC
DC
=
AC
BC
Corresponding sides of similar triangles are proportional
BC2 = (AC)(DC) Cross multiplication
∠ ABC = ∠ADB Right angles have the same measure
∠ BCA = ∠ BAD same angle
ΔABC ~ΔABD AA Similarity Postulate
AB
AD
=
AC
AB
Corresponding sides of similar triangles are proportional
AB2 = (AC)(AD) cross multiplication
AB2 + BC2 = (AC)(AD) + (AC)(DC) Addition
AB2 + BC2 = (AC)(AD + DC) ?
AB2 + BC2 = (AC)2 Addition

What is the missing reason?
A) Addition Property
B) Division Property
C) Associative Property
D) Distributive Property

throw the computer

step-by-step explanation:

e

step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)

might be the correct answer will be question number 2