Answer:
the stated ratio means that of the 180 degrees involving two supplementary angles, the smaller angle is one sixth of that whole. Thus the smaller angle measures 30 degrees & the larger measures 150 degrees.
Step-by-step explanation:
Answer: x = 10.5
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Work Shown:
BC*BD = AB*AB
2*(2+x) = 5*5
4+2x = 25
2x = 25-4
2x = 21
x = 21/2
x = 10.5
Answer:
Paul spent $12.65
Step-by-step explanation:
Create a system of equations where p is how much Paul spent and t is how much Tammy spent.
p + t = 37.85
p = t - 12.55
Solve by substitution:
p + t = 37.85
(t - 12.55) + t = 37.85
2t - 12.55 = 37.85
2t = 50.4
t = 25.2
Find how much Paul spent by plugging in 25.5 as t into p = t - 12.55
p = t - 12.55
p = 25.2 - 12.55
p = 12.65
So, Paul spent $12.65