Answer:
80%
Step-by-step explanation:
regular price is 100%
so, after the discounted price is 20%
the discount is 80%
So there are two triangles here: Smaller one (ADE) and bigger one (ABC) and they both are similar.
So you can use proportions here.
AB / AC = AD / AE
AB = AD + DB = 6 + 1 = 7
AC = AE + 3
AD = 6
So plug in these values:
AB / AC = AD / AE becomes
7 / (AE + 3) = 6 / AE
Now do the cross multiply:
7 AE = 6 (AE + 3)
Now solve for AE:
7AE = 6AE + 18
AE = 18
Class of students - number of students that are boys = numbers of students that are girls
30 - 13 = 17
To change the number of students that are girls into percentage...
17/1 * 1/100 = 17/100
17/100 in a % form = 17%
The percentage of girls in the class is 17%
Use the Law of Sines to solve.
24/Sin 67.38 = 26/Sin X
Cross multiply
26Sin 67.38 = 24SinX
Divide both sides by 24
(26Sin67.38)/24 = Sin X
Use Sin^-1 to find the angle measure.
Sin^-1 [(26Sin67.38)/24]
x = 89.92 degrees
5 1/6 divided by 2 5/12 is 2 4/29 so it is true