If δabc ≅ δfde, which of the following statements is true?
∠a ≅ ∠e
∠b ≅ ∠f
∠c ≅ ∠e
∠a ≅ ∠d

∠C ≅ ∠E  

Step-by-step explanation:

Given : ΔABC ≅ ΔFDE

We know that the corresponding parts of congruent triangles are congruent.

i.e. Corresponding angles of congruent triangles are congruent.

i.e. If ΔABC ≅ ΔFDE, then

∠A ≅ ∠F   [ First vertex ]

∠B ≅ ∠D    [Middle vertex]

∠C ≅ ∠E    [Last Vertex]

Therefore, the correct answer is : ∠C ≅ ∠E  

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.