Two sides of a parallelogram measure 60 centimeters and 40 centimeters. if one angle of the parallelogram measures 132, find the length of each diagonal.

 The length diagonals of the given parallelogram are approximately 91.716 cm and 44.589 cm.

Step-by-step explanation:

Since, a parallelogram has two pairs of congruent opposite angles

and two pairs of congruent sides,

Let ABCD is a parallelogram ( shown below)

In which AB = CD = 60 meters and BC = DA = 40 meters

∠ ABC = ∠ADC = 132° ⇒ ∠DAB = ∠DCB = 1/2(360 - 2×132)= 48°

We have to find : AC and BD.

In triangle ABC,

By the cosine law,

Again, in triangle ABD,

hence, the diagonals of the given parallelogram are approximately 91.716 cm and 44.589 cm.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

a long term investor

step-by-step explanation:

because he is a long term investor