Diagonal ac divides the trapezoid abcd (with bases ad and bc, ad> bc) into two similar triangles, △abc and △dca. find ac if bc=4 cm and ad=9 cm.

6 cm

Step-by-step explanation:

Let k represent the scale factor between ΔABC and ΔDCA. Then ...

... CA = k·BC

... AD = k·CA

So, AD/BC = k·(k·BC)/BC = k² = 9/4

Then k = √(9/4) = 3/2, and ...

... CA = (3/2)·BC = (3/2)·(4 cm)

... CA = 6 cm

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.