9. The basketball team sold t-shirts and hats at a fundraiser. They sold a total of 23 items and made a profit of $154. They made a profit of $8 from each t-shirt sold and a profit of $10 from each hat sold.
Identify your variables. Then, write and solve a system of equations to find the number of t-shirts and
hats the basketball team sold.

t-shirts = 8, hats= 15

Step-by-step explanation:

let the no of of t-shirt be x

and the no of hats be y

solving equations 1 and 2 simultaneously we have

multiplying equation 1 by 8 and subtracting from 2 we have

y= 15

substituting y= 15 in equation 1 to find x we have

x=8

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.