One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. approximately how long is the side of the rhombus? (hint: diagonals of a rhombus bisect the angles.)

Side of a rhombus = 8 inches.

Step-by-step explanation:

Given : One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long.

To find :  Approximately how long is the side of the rhombus.

Solution : We have given that

Angle of a rhombus = 108° .

Shorter diagonal = 9 inches.

By the rhombus properties :

1) All sides of a rhombus are equal.

2) The diagonals of rhombus bisect each other at right angle.

Diagonal of the rhombus divide the rhombus in to four sides .

By the second property : The diagonals of rhombus bisect each other at right angle .

Adjacent side = = 4.5 in.

Hypotenuse is a sides of rhombus.

Then, angle become = 54°. ( Diagonals of a rhombus bisect the angles).

By the cosine ration = .

cos( 54) = .

0.58778 =   .

On dividing both sides by 0.58778.

Hypotenuse =   .

Hypotenuse = 7.6559 inches

Approx = 8 inches

Therefore , Side of a rhombus = 8 inches.

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,