2 angles are Complementary, if the sum of their measures = 90°.
Let the 2 angles be A and B, and let their measures be m(A)=a, m(B)=b.
Let A be the larger angle.
"the larger angle is six more than three times the smaller angle."
can be 'translated' into algebra as: a = 6 + 3b
Also, since A and B are complementary, we have a+b=90°.
substitute a=6+3b in the second equation:
a+b=90°
(6°+3b+b)=90°
4b=90°-6°
b=84°/4=21°
Then, a = 90°-21°=69°
Answer: a= 69°, b=21°
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<span>air traffic controller
</span>
The most cited professional who uses geometry is the air traffic controller. This professional needs to calculate routes, distances and times traveled in order to avoid accumulation of aircraft at the time of landing, for example.
Answer:
Step-by-step explanation:
you have to even out the denominator so multiply 1/4 by 2 so you get 2/8 then subtract 2/8 from 7/8 so youll get 5/8
Answer:
the first one
Step-by-step explanation:
The first equation is -5m+15
and the first one is 15-5m
Which is basically the same thing.
Glad to help
Answer:
angle of depression = 2.1⁰
Step-by-step explanation:
1 mile = 5280 ft
Hence angle of depression = 90 - ∅
Where ∅ is angle of depression
Tan ∅ = (5 x 5280)/ 950
∅ = Tan₋¹ (27.789474) = 87.9⁰
Hence angle of depression = 90 - 87.9 = 2.1⁰
