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3 years ago

7

Camryn practices the trumpet every 11th day and the flute every 3rd day. Camryn practiced both today. How many days until Camryn

practices both the flute and trumpet again?

1 answer:

SpyIntel [72]3 years ago

5 0

Multiples of 11:
11, 22, 33, 44, 55

Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33

Camryn will practice both on the 33th day.

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The measure of the first angle is 50°.

Step-by-step explanation:

Let the three angles be <em>a, b, </em>and <em>c. </em>

<em />

The measure of the first angle is twice the measure of the second angle. In other words:

$a=2b$

The measure of the third angle is 80° more than the measure of the second angle. In other words:

$c=b+80$

And since the interior angles of a triangle must equal 180°:

$a+b+c=180$

Substitute <em>a</em> and <em>c: </em>

<em /> $(2b)+b+(b+80)=180$ <em />

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So, the measure of the second angle is 25°.

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(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)

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