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Strike441 [17]
3 years ago
6

The measure of the acute angles of the right triangle below are represented by x and y. In this triangle y is 15 less twice x

Mathematics
1 answer:
il63 [147K]3 years ago
7 0
That is a right triangle.  That means that the other 2 angles added together equal 90, because a right angle measures 90 degrees and all the angles added together in a triangle equal 180.  So the first equation is x + y = 180.  If y is 15 less twice x, then 2x - 15 = y, or 2x - y = 15, if we are solving it for 15 and putting it into standard form of a line.  What you are looking for is the third choice down.
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Answer:

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Step-by-step explanation:

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George and Riley are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges.
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The cost of small box of oranges is $7.

The cost of large box of oranges is $13.

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

It is given that,

3 small boxes of oranges and 14 large boxes of oranges for a total of $203.

11 small boxes of oranges and 11 large boxes of oranges for a total of $220.

Let us take,

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<u>The system of equations are framed as :</u>

3x + 14y = 203  ---------(1)

11x + 11y = 220  ---------(2)

<u>To solve these equations for x and y values :</u>

Multiply equation (1) by 11 and equation (2) by 3

Subtract eq(2) from eq(1),

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  <u>        121 y = 1573  </u>

⇒ y = 1573 / 121

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∴ The cost of large box of oranges is $13.

Substitute y=13 in the eq(1),

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⇒ 3x = 203 - 182

⇒ 3x = 21

⇒ x = 21 / 3

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∴ The cost of small box of oranges is $7.

<u />

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Step-by-step explanation:

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