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tresset_1 [31]
4 years ago
8

Two angles are supplementary. The larger angle is 33 degrees more than 6 times the smaller angle. Find the measure of each angle

.
Mathematics
1 answer:
noname [10]4 years ago
3 0

Sum of two angles that are supplementary = 180°

Let the smaller angle be = x

Let \:  the  \: smaller \:  angle \:  be \:  =  \: x

then \: the \: larger \: angle \:  = 6x + 33

<h3>Their sum :</h3>

x + 6x + 33 = 180

7x + 33 = 180

7x = 180 - 33

7x = 147

x =  \frac{147}{7}

x = 21

Using this let us find the measures of the smaller angle and bigger angle .

smaller \: angle \:  = x = 21°

larger \: angle \:  = 6x + 33 = 6 \times 21 + 33 = 126 + 33 = 159°

∴ The measure of the two angles are = 21° and 159° .

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Answer:

The expression used to find the change in temperature per hour is Algebraic expression

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

Step-by-step explanation:

A temperature falls from 0 to  - 12\dfrac{1}{4}     in     3\dfrac{1}{2} \ hours

Which expression finds the change in temperature per hour.

From the above given information;

The initial temperature is 0

The final temperature is  - 12\dfrac{1}{4}  

The change in temperature is \Delta T = T_2  -  T_1

\Delta  T = -12\dfrac{1}{4} -0

\Delta T = -12.25

Thus;

-12.25 ° = 3.5 hours

To find the change in x°   per hour; we have;

x°            = 1 hour

The expression used to find the change in temperature per hour is Algebraic expression

From above if we cross multiply ; we have;

(- 12.25° × 1 hour) = (x° × 3.5 hour)

Divide both sides by 3.5 hours; we have:

\dfrac{-12.25^0*1 }{3.5}=\dfrac{ x^0 *3.5}{3.5}

x° =  - 3.5

x° = - 3\dfrac{1}{2}

Thus per hour; the temperature falls at the rate of - 3\dfrac{1}{2}^0

8 0
3 years ago
What digit placed in the blank would make the number 138_ divisible by both 4 and 5
kap26 [50]

Answer:

The digit that should be placed in the blank is 0.

Step-by-step explanation:

We are given the four-digit number: 138_

And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.

A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.

Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.

80 is indeed divisible by 4, while 85 is not.

In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.

7 0
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topjm [15]

Answer:

(y+7)²/364 - (x+8)²/364 = 1

Step-by-step explanation:

This is the standard form of a vertical hyperbola (y-k)²/a² - (x-h)²/b² = 1

so, (y²+14y+?) - (x²+16x+?) = 251

(y²+14+49)-49 - (x²+16x+64)-64 = 251

(y+7)² - (x+8)² = 251 + 49 + 64

(y+7)² - (x+8)² = 364

(y+7)²/364 - (x+8)²/364 = 1

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4 years ago
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Answer:

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Step-by-step explanation:

Given that

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Now after 6 years, it would make

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So, the percentage is

= 1 - 0.80

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= 20%

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4 years ago
Write the equation of the cosecant function with domain
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Answer:

wait can u put it in a way that i can understand it pls and thank you

Step-by-step explanation:

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