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Nikitich [7]
3 years ago
12

In a pair of complementary angles, the larger angle is six more than three times the smaller angle. the measures of the angles a

re
Mathematics
1 answer:
harina [27]3 years ago
7 0
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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Answer:

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3 years ago
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Solve the inequality and write the solution set using both set-builder notation and interval notation. -3a-15≤-2a+6
sleet_krkn [62]

Answer:

Set builder notation: {a | a ≥ -21}

Interval notation: [-21, ∞)

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Interval notation is a way to define a set of numbers between a lower limit and an upper limit using end-point values. for example (8, 20) means numbers between 8 and 20.

Given -3a-15≤-2a+6; solving :

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7 0
3 years ago
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blondinia [14]

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svet-max [94.6K]
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