1. Given: Quadrilateral STAR is a parallelogram.
a. If m<S = x + 15 and m<A = 2x + 5, what is m<s?
b. If ST = 3y + 3 and HS = y + 13, how long is HS?
a. If m<S = x + 15 and m<A = 2x + 5, what is m<s?
b. If ST = 3y + 3 and HS = y + 13, how long is HS?
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Answer:
abs(x)/a + abs(y)/b<=1
Golden rectangle
-a/2<=x<=a/2 and -(a ϕ)/2<=y<=(a ϕ)/2
Golden rhombus
2 (1 + sqrt(5)) a + sqrt(2 (5 + sqrt(5))) (2 x + sqrt(5) y + y)>=0 and 2 (1 + sqrt(5)) a + sqrt(2 (5 + sqrt(5))) (-2 x + sqrt(5) y + y)>=0 and 2 sqrt(5 (5 + sqrt(5))) a>=5 sqrt(2) (2 x + sqrt(5) y + y) and 2 (1 + sqrt(5)) a>=sqrt(2 (5 + sqrt(5))) (-2 x + sqrt(5) y + y)
Half rectangle
-a/2<=x<=a/2 and 0<=y<=b/2
Step-by-step explanation: