Write a simplified expression that represents the perimeter of an irregular quadrilateral with side lengths (2 1/4t−5), (4t+3), (1/2t−1), and (3t+2).

7 7/4 t - 1

Step-by-step explanation:

The perimeter of the quadrilateral is the sum of all the sides combined together

Given the length of the sides as (2 1/4t−5), (4t+3), (1/2t−1), and (3t+2),

Taking the sum;

Perimeter = (2 1/4t−5)+(4t+3)+(1/2t−1)+(3t+2)

Perimeter = 9/4 t - 5 + 4t + 3 + 1/2 t - 1 + 3t + 2

Collect like terms;

Perimeter = 9/4 t + 1/2 t + 4t + 3t -5 + 3-1 + 2

Perimeter = (9t-2t)/4 + 7t -1

Perimeter = 7/4 t + 7t - 1

Perimeter = 7 7/4 t - 1

3

step-by-step explanation:

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true