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Blababa [14]
3 years ago
7

If lines L and M are parallel, find x, y, and z. Explain your reasoning.

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
8 0

Answer:

The answer to your question is:

                                                     x = 43°, y = 137° and z= 43°

Step-by-step explanation:

-If lines L and M are parallel, that means that 43° and z are corresponding angles and they measure the same.

                                           z = 43°

- y and 43° are supplementary angles , so

                                          y + 43 = 180

                                          y = 180 - 43

                                          y = 137°

- x and z are vertical angles, so they measure the same

                                          x = z = 43°

 

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3 years ago
Rewrite each expression as a polynomial in standard form.a)(x+i)(x-i)b)(x+5i)(x-5i)
Nitella [24]

Answer:

a) x² +1

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Step-by-step explanation:

a) (x+i)(x− i)

   = x² - ( i ) x + ( i ) x - ( i)²

   = x² -  i²                       ∵ i² = -1

   = x² -  (-1)

   = x² +1

b) (x+5 i)(x− 5i)

 = x² - ( 5 i ) x + ( 5 i ) x - ( 5 i)²

   = x² - 25 i²                       ∵ i² = -1

   = x² -  25(-1)

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we can also solve

using identity

   (a + b)(a - b) = a² - b²

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   = x² - (5 i)²

   = x² - 25 i²

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8 0
3 years ago
The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre o
kifflom [539]

Answer:

792\ \text{pounds}

Step-by-step explanation:

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x_2=90 cubic feet of fertilizer is used in y_2=990 pounds of strawberries

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Linear interpolation is applied

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72 cubic feet of fertilizer will yield 792\ \text{pounds} of strawberries.

5 0
2 years ago
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Answer:

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Step-by-step explanation:

To answer the question given, we will follow the steps below:

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Step-by-step explanation:

.

6 0
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