*see attachement for the triangles given
Answer:
PQ = 6.8
Step-by-step explanation:
Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:
LN/OQ = MN/PQ
LN = 5
OQ = 17
MN = 2
PQ = ?
Plug in the values
5/17 = 2/PQ
Cross multiply
5*PQ = 2*17
5*PQ = 34
PQ = 34/5
PQ = 6.8
Answer:
x = 20, <S = 47 degrees, <P = 131 degrees
Step-by-step explanation:
27 + x + 119 + 63 + 3x + 71 = 360
4x + 280 = 360
4x = 80
x = 20
<S = 27 + x = 27 + 20 = 47 degrees
<P = 3x + 71 = 3(20) + 71 = 131 degrees
1st box:
m<A + m<B + m<C = 180
2nd box:
substitution property
3rd box:
division property of equality
Hope it helps.
It is 2/10 for tour question