4. a rectangle is inscribed into a circle. the rectangle is cut along one of its diagonals and reflected across that diagonal to form a kite. draw the kite and its diagonals. find all the angles in this new diagram, given that the acute angle formed by the diagonal of the rectangle in the original diagram was 40°.

The diagrams below explain the process with angles.

Step-by-step explanation:

In figure 1, a rectangle is drawn in the circle.

Since the acute angle being drawn by the hypotenuse is 40 degree in figure 2, thus we can say the other angle will be 50 degrees.

In figure 3, the rectangle is cut across its diagonal to form a kite shaped entity within the circle.

Now we know that m∠BDE = 40° = m∠ADB.

Also, m∠A = m∠E = 90°

Thus, m∠EBD = m∠ABD = 50° ⇒ m∠B = 100°

Also, m∠ADE = 80° ANSWER

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.