Two polygons are similar. What is the correct similarity statement?

option 3

Step-by-step explanation:

Given the 2 triangles are similar then corresponding angles are congruent.

Calculate the missing angles in both triangles.

∠ A = 180° - (90 + 35)° = 180° - 125° = 55°

∠ L = 180° - (90 + 55)° = 180° - 145° = 35°

Consider ACB ~ MNL , comparing corresponding angles

∠ A= 55° and ∠ M = 90° ← not congruent

Consider ABC ~ LMN, comparing corresponding angles

∠ A = 55° and ∠ L = 35° ← not congruent

Consider CBA ~ LMN , comparing corresponding angles

∠ C = 35° and ∠ L = 35° ← congruent

∠ B = 90° and ∠ M = 90° ← congruent

∠ A = 55° and ∠ N = 55° ← congruent

The correct similarity statement is

CBA ~ LMN

 C) CBA ≅ LMN

Step-by-step explanation:

Match up the congruent angles:

∠C = 35°, ∠L = 90° - 55° = 35°     --> ∠C ≡ ∠L

∠B = 90°, ∠M = 90°                     -->  ∠B ≡ ∠M

∠A = 90° - 35° = 55°, ∠N = 55°    --> ∠A ≡ ∠N

The similarity statement can be written in any order as long as the congruent angles are in the same placement (1st, 2nd, or 3rd).

ΔABC ≅ ΔNML

ΔBCA ≅ ΔMLN

ΔCAB ≅ ΔLNM

ΔCBA ≅ ΔLMN

ΔACB ≅ ΔNLM

ΔBAC ≅ΔMNL

Any of these similarity statements can be used!

correct answer is infinitely many solutions

step-by-step explanation:

2(2x + 3) = -4 + 2(2x + 5)

solving the above equation:

4x + 6 = -4 +4x +10

combining like terms

4x -4x = -4+10-6

0=0

since both sides are 0=0, we end up into true statement it means it has infinite many solutions.

so correct answer is infinitely many solutions

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i