Answer:
A) AB = 24 and DE = 12
Step-by-step explanation:
Since the side CA is the double of side DF and the side CB is double the side FE, to get SIMILAR triangles, we also need the third sides to in the same proportion... so AB = 24 and DE = 12
So the first triangle would have measurements:
CA = 12
CB = 20
AB = 24
The second triangle would be scaled by 2:
DF = 6
FE = 10
DE = 12
Jonah makes 85,740, which is at least 85,650 but less than 178,650, his tax is 28%. All you have to do is multiply 85,740 by 28% a.k.a .28 and you should get 24,007.2 which is Jonah’s income tax for the year.
We can find the measure of angle B using the Law of cosines.
According to the
Law of Cosines:
Using the values of a,b and c in the above equation we get:
Thus measure of angle B is 13.47 degrees. We can convert the decimal part to minutes by multiplying it by 60.
So measure of angle B will be 13 degrees and (60 x 0.47) minutes which equals 13 degrees and 28 minutes or 13° 28'.
Thus option A gives the correct answer.