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Rzqust [24]
3 years ago
8

Definition of corresponding angles

Mathematics
1 answer:
Serggg [28]3 years ago
6 0

Answer:

When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.

Hope this helps : D

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Simplify for a = 3, b = -4 and c = -1.<br> 16a-3c+ 5b =
NikAS [45]

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31

Step-by-step explanation:

16(3) - 3(-1) + 5(-4)

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Which equation represents the model?
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Step-by-step explanation:

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A small software corporation borrowed $ 250,(000) to expand its software line. The corporation borrowed some of the money at 9%,
Lyrx [107]

Answer:

<em>$50,000 was borrowed at 9%.</em>

<em>$125,000 was borrowed at 10%.</em>

<em>$75,000 was borrowed at 12%.</em>

Step-by-step explanation:

Let amount borrowed at 9% be x

Let amount borrowed at 10% be y

Let amount borrowed at 12% be z

Now equations form:

x+y+z=250000      ....(1)

0.09x+0.10y+0.12z=26000     ....(2)

y=2.5x   ..... (3)

Substituting the value of y from (3) in (1) and (2)

x+2.5x+z=250000

=> 3.5x+z=250000   ......(4)

0.09x+0.10(2.5x)+0.12z=26000

=> 0.34x+0.12z=26000   ....(5)

Multiplying (4) by 0.12 and subtracting (5) from it, we get

0.42x+0.12z=30000 - 0.34x+0.12z=26000

0.42x-0.34x=30000-26000

0.08x=4000

x = $50000

As y = 2.5x

So, y=2.5\times50000=125000

y = $125000

And as x+y+z=250000

=>z=250000-50000-125000

z = $75000

Therefore, <em>$50,000 was borrowed at 9%.</em>

<em>$125,000 was borrowed at 10%.</em>

<em>$75,000 was borrowed at 12%.</em>

4 0
3 years ago
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