In the diagram, ∆ABC ≈∆ECG, BC is parallel to EG, AC=EG=15cm, BC=CG, CD=5cm and FG=9cm. 1)show that ∆ACD is similar to ∆EFD.
2) Find the length of DE.​

Ivan and jeff buy a package of 8 pens for $4.00. ivan wants 5 of the pens, and jeff wants 3.how much should each student pay?

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.

What is the following sum in simplest form? square root 8 + 3 square root 2 + square root 32