Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP StatementReason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°1. given 2. m∠H + m∠J + m∠K = 180°2. ? 3. 30° + 50° + m∠K = 180°3. substitution property 4. 80° + m∠K = 180°4. addition 5. m∠K = 100°5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N7. if angles are equal then they are congruent 8. △HKJ ~ △LNP8. AA similarity theorem Which reason is missing in step 2?

Reason: the sum of all interior angles of any triangle is equal to 180º.

Step-by-step explanation:

1) Organizing

Statement  1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. Reason: given

2) Since the sum of all internal angles of any triangle is equal to 180º, just like the formula. N the number of sides of a triangle:

3) We can also say

Similarly to the other triangle:

4) Hence,

Reason: The sum of interior angles is equal to 180º.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb

answer: b

step-by-step explanation: