A parallelogram has side lengths of 4 and 6 and an angle of measure 55°. Parallelogram P Q R S is shown. A diagonal with length x is drawn from point S to point Q. The length of P Q is 6 and the length of P S is 4. Angle S P Q is 55 degrees.

Law of cosines: a2 = b2 + c2 – 2bccos(A)

What is x, the length of the diagonal, to the nearest whole number?

3
5
6
7

Students buying lunch at rockwell elementary school yesterday chose either burritos or pizza. 185 students chose burritos and 252 chose pizza. 1. estimate the number of students who brought lunch by rounding each number to the nearest hundred. 2. estimate how many students bought lunch by rounding each number to the nearest ten. 3. find the total number of students who brought lunch. which of your estimates is closer to the actual total? explain. 4. draw a figure on a sheet of paper. estimate how many pennies will fit inside the figure. check your prediction using pennies.

What is the length of the unknown leg in the right triangle ?

What is the slope of the line passing through the points (-5, 7) and (-3,5)?