Solve the following problems. given: ab ≅ bc and ae = 10 in, m∠fec = 90° m∠abc = 130°30' find: m∠ebc, ac

Because BA ≅ BC, we know the triangle is isosceles. Because ∠FEC=90°, we know BE is a median and angle bisector of ∠ABC.

Hence ...

... AC = 2×AE = 20 in

... ∠EBC = (1/2)×∠ABC = 65°15'

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1