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Amiraneli [1.4K]
1 year ago
9

An angle measures 14° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
Mars2501 [29]1 year ago
7 0

Answer:Complementary angles are two angles whose degree measurements add up to 90 degrees. The first angle would be (x + 14.4) and its complementary angle would be x. Therefore, you would set up this problem as: x + (x + 14.4) = 902x + 14.4 = 902x = 75.6 x = 37.8  (one angle)And (x + 14.4) = 52.2 (other angle). 

To check: 37.8 + 52.2 = 90

Step-by-step explanation:

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Zielflug [23.3K]

\log _{3}(3)=1 and \log _{3} \frac{a}{3}=-1.631

Solution:

Given value \log _{3} a=-0.631.

To evaluate the expression \log _{3} \frac{a}{3}.

Using logarithmic rule: \log _{b}\left(\frac{M}{N}\right)=\log _{b}(M)-\log _{b}(N)

$\log _{3} \frac{a}{3}=\log _{3}(a)-\log _{3}(3)

We know that \log _{3} a=-0.631.

$\log _{3} \frac{a}{3}=-0.631-\log _{3}(3)

Using another logarithmic rule: \log _{b} b=1

$\log _{3} \frac{a}{3}=-0.631-1

$\log _{3} \frac{a}{3}=-1.631

Hence \log _{3}(3)=1 and \log _{3} \frac{a}{3}=-1.631.

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