She can make a total of 30 different outfits, just multiply them all together.
We have three similar triangles, let's see if we can get this right, right vertex first, then other vertex from small side:
EDF ~ GDE ~ GEF
As ratios that means
ED:DF:EF = GD:DE:GE = GE:EF:GF
x:20:y = 5:x:GE = GE:y:15
Since we're after y we choose
20/y = y/15
20(15) = y²
y² = 300
y = 10√3
y ≈ 17.32
The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:
c² = a² + b² - 2abcosC
16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC
C = 91.2°
Also:
a² = b² + c² - 2bccosA
8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA
A = 31.4°
A + B + C = 180° (angles in a triangle)
31.4 + B + 91.2 = 180
B = 57.4°
The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°
Find out more on equation at: brainly.com/question/2972832
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Seven times eight equals fifty six