The base and height of a parallelogram are in the ratio of 6:5. It's area is 480 inches squared. Find the height of the parallelogram. The area of a parallelogram is a=bh

The height of the parallelogram is 20m

Step-by-step explanation:

Given the area of a parallelogram

A = bh where;

b is the base and h is the height

If the base and height of a parallelogram are in the ratio of 6:5. It's area is 480 inches, this means that b/h = 6/5

5b = 6h

b = 6h/5

Substituting equation 1 into the volume if the parallelogram we have;

A = 6h/5×h

480 = 6h²/5

6h² = 480×5

6h² = 2400

h² = 2400/6

h² = 400

h = √400

h = 20m

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180