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sergey [27]
3 years ago
5

One of two complementary angles is 12 degrees greater than the other. Find the measure of the larger angle.

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Answer:

39,51

Step-by-step explanation:

Complementary angles add to 90 degrees

Let one angle be x

The other angle is x+12

x+ x+12 = 90

Combine like terms

2x+12 = 90

Subtract 12 from each side

2x+12-12 = 90-12

2x = 78

Divide each side by 2

2x/2 = 78/2

x =39

The other angle is 39+12 =51

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AveGali [126]

An important rule of logs is a*log b = log b^a.

Thus, 2 (log to the base 5 of )(5x^3) = (log to the base 5 of ) (5x^3)^2, or

(log to the base 5 of ) (25x^6).

Next, (1/3) (log to the base 5 of ) (x^2+6) = (log to the base 5 of ) (x^2+6)^(1/3).

Here, the addition in the middle of the given expression indicates multiplication:

2Log5(5x^3)+1/3log5(x^2+6) = (log to the base 5 of ) { (5x^3)^2 * (x^2+6)^(1/3) }.

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5 0
3 years ago
Read 2 more answers
Ryan has x stamps in his collection if he was 6 times as many stamps as penny, how many stamps does penny have in her collection
Free_Kalibri [48]

The number of stamps with penny in terms of x is \frac{x}{6}

<em><u>Solution:</u></em>

Given that,

Ryan has x stamps in his collection

Number of stamps of Ryan = x stamps

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Ryan has 6 times as many stamps as penny

Therefore,

Number of stamps in Ryan = 6 times as many stamps as penny

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7 0
3 years ago
Zach painted 92 square feet in the same amount of time that Blaise painted
Alika [10]

Answer:

The answer to your question is 252 in²

Step-by-step explanation:

Data

Zach = 92 ft²

Blaise = 13500 in²

Who painted more and how many more square inches? = ?

Process

1.- Convert the square feet to square inches

            1 ft² ----------------- 144 in²

          92 ft² ----------------   x

            x = (92 x 144)/1

            x = 13248 in²

2.- Subtract the lower value to the higher value

Area = 13500 in² - 13248 in²

Area = 252 in²

3.- Conclusion

Blaise painted 252 in² more than Zach.

4 0
3 years ago
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Andrej [43]

Answer:

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6 0
2 years ago
Im completely stuck, can someone please help me out??
Rasek [7]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
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