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3 years ago

the measure of an angle is fifty nine times the measure of its supplementary angle. What is the measure of each angle

Mathematics

1 answer:

Dimas [21]3 years ago

7 0

9514 1404 393

Answer:

177°, 3°

Step-by-step explanation:

If the smaller angle is s, then the sum of the two angles is ...

s + 59s = 180°

s = 180°/60 = 3° . . . . . divide by the coefficient of s

59s = 177° . . . . . . . . . find the larger angle

The two angles are 177° and 3°.

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Inverse of y equals 12 to the x

e-lub [12.9K]

Answer:

$f^{-1}(x) = log_{12}(y)$

Step-by-step explanation:

We have the following function

y = 12^x, and we need to find the inverse function.

To find the inverse function we should solve the equation for "x". To do so, first, we need to:

1. Take the logarithm in both sides of the equation:

lg_12 (y) = log _12 (12^x)

(Please read lg_12 as: "Logarithm with base 12")

From property of logarithm, we know that lg (a^b) = b*log(a)

Then:

lg_12 (y) = x*log _12 (12)

We also know that log _12 (12) = 1

Then:

x = log_12(y).

Then, the inverse of: y= 12^x is:

$f^{-1}(x) = log_{12}(y)$

5 0

3 years ago

Seven friends went out to lunch. The meal subtotal was $91.22, including tax. The restaurant has a policy that for parties of si

vlada-n [284]

Answer:

$ 74.80

Step-by-step explanation:

The subtotal cost of the meal was $91.22 including tax.

The 18% tip is added for six or more.

The tip added should reduce the meal subtotal by 18 %

Reduce $91.22 by 18% to get ;

82/100 * 91.22 = $ 74.80

7 0

3 years ago

How to simplify : <br><br> √(1+√(1-x^2 )) - √(1-√(1-x^2 ))

muminat

√(1 + √(1 - x²)) - √(1 - √(1 - x²))
√(1 + 1 - x) - √(1 - 1 - x)
√(2 - x) - √(0 - x)
(1.414 - x^1/2) - (0 - x^1/2)
1.414 - 0 - x^1/2 + x^1/2
1.414

4 0

4 years ago

If a man earns $420 interest in one year at 7%, what was the amount of money invested?

baherus [9]

Answer:

6,000

Step-by-step explanation:

4 0

3 years ago

Joe's final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 5 points each. Let x be the

mixer [17]

This is the inequality

2x + 5y ≥ 90

7 0

3 years ago