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emmainna [20.7K]
3 years ago
10

What is the measure of the missing angle? 90° 600 7.

Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Answer:

30°

Step-by-step explanation:

Let the measure of the missing angle be x°

Therefore, by interior angle sum postulate of a triangle:

x + 60° + 90° = 180°

x + 150° = 180°

x = 180° - 150°

x = 30°

Thus the measure of the missing angle is 30°.

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Larry Mitchell invested part of his $25,000 advance at 2% annual simple interest and the rest at 3% annual simple interest. If h
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  • $1000 at 3%
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Step-by-step explanation:

Let x represent the amount invested at 3%. Then the total interest earned is ...

  0.03x +0.02(25000 -x) = 510

  0.01x = 10 . . . . . . . . . . . . subtract 500, collect terms

  x = 1000

Mitchell invested $1,000 at 3% and $24,000 at 2%.

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What is a human and what does it do
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Step-by-step explanation:

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Which pair of equations represents parallel lines?
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Answer:

A) parallel

B) not

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The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Cels
Murrr4er [49]

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3 years ago
250 grams of sugar cost 150 dollars at Shop X. 100 grams of sugar cost 95 dollars at Shop Y. What is the difference in cost per
nata0808 [166]
<h2>Answer:</h2>

350 dollars

<h2>Step-by-step explanation:</h2>

<em>(step 1) Find the cost per kilogramme of sugar in shop X</em>

In shop X:

250 grams of sugar costs 150 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 250 grams will be equal to 0.25 kilogramme

Therefore (replacing 250 grams with 0.25 kilogramme) in shop X;

0.25 kilogramme of sugar costs 150 dollars

Now, if

0.25 kilogramme = 150 dollars,

=> 1 kilogramme =  150 dollars x 1 kilogramme / 0.25 kilogramme

=> 1 kilogramme = 600 dollars

Therefore, the cost per kilogramme of sugar in shop X is 600 dollars

<em>(step 2) Find the cost per kilogramme of sugar in shop Y</em>

In shop Y:

100 grams of sugar costs 95 dollars.

<em>Remember that;</em>

1000 grams = 1 kilogramme.

=> 100 grams will be equal to 0.1 kilogramme

Therefore (replacing 100 grams with 0.1 kilogramme) in shop Y;

0.1 kilogramme of sugar costs 95 dollars

Now, if

0.1 kilogramme = 95 dollars,

=> 1 kilogramme =  95 dollars x 1 kilogramme / 0.1 kilogramme

=> 1 kilogramme = 950 dollars

Therefore, the cost per kilogramme of sugar in shop Y is 950 dollars

<em>(step 3) Find the difference in cost per kilogramme of sugar between the two shops</em>

The difference is calculated by subtracting the cost per kilogramme of sugar in shop X from the cost per kilogramme of sugar in shop Y. i.e

=> cost per kilogramme of sugar in shop Y - cost per kilogramme of sugar in shop X

=> 950 dollars - 600 dollars

=> 350 dollars.

Therefore, the difference in cost per kilogramme is 350 dollars

3 0
3 years ago
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