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2 years ago

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

1 answer:

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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Complete the steps to evaluate the following expression, given log3a = −0.631.

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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2 years ago

Read 2 more answers

A mountain climber on MT. Everest is at 29,035 ft above sea level . A stone at the bottom of th dead sea is at 1,349 below sea l

Lana71 [14]

29035 is to the right of 0.
-1349 is to the left of 0.

so, the distance between them:

29035 - (-1349) = 29035+1349 = 30384

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3 years ago

Connor wants to save up money to buy his math teacher a PS5 for the holidays. After 4 weeks, he has $178 saved up. After 9 weeks

Scorpion4ik [409]

Answer:

1.) Over these two moments he has saved up more money to buy a PS5 for his teacher

2.) $32 dollars per week

3.) $178

Step-by-step explanation:

2.) 338-178= 160/5= $32

3.)$178

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2 years ago

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Ou pick a card at random. Without putting the first card back, you pick a second card at random.

Arte-miy333 [17]

If you cards are only 5,6,7, then the probability of getting even, then even would be zero.

The directions say that the card is not replaced. Therefore, once you pick the 6, there would be no more even cards.

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3 years ago

a car costs 25,750.00 and depreciates in value 20%per year. how much will the car be worth in 5 years?

andriy [413]

In five years the car will be worth $9,472.90

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3 years ago