The diagram shows triangle ABC. ADC and BED are straight lines. AB=12.2cm CD=5.8cm BE:ED=3:1 Angle ADB=90° Angle ABD =38° Work out the size of angle DCE. Give your answer correct to 1 decimal place.

An architect is designing a water fountain for a park she uses the given function to model the water jet flowing from the fountain nozzles where h(x) gives the height of the water jugs in feet x feet from the starting point h(x)=-1/20x+x+15

Suppose i flip two identical coins. what is the probability that i get one head and one tail?

Find the value of x. give reasons to justify your solutions! l, m ∈ kn