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m∠P = 105°

QR = 11.6

m∠M = 45°

LN = 8.5

Step-by-step explanation:

Given:

ΔLMN ≅ ΔPQR

By the property of congruence,

Sides of the congruent triangles will be equal in measure (SSS property of congruence)

LN = PR = 8.5

QR = MN = 11.6

Since, both the triangles are congruent, they will follow ASA postulate of congruence,

m∠P = m∠L = 105°

m∠M = m∠Q = 45°

step-by-step explanation:

their are no angles. sorry cant .

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'.