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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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<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in x^3 + 3x^2 + 5, the degree of the polynomial is 3 as the highest power in its terms is 3.

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<h3>What are like terms?</h3>

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For example, x^3 and 3x^3  are like terms since variable is same, and it is raised to same power 3.

For example 4x^2 and x^3 are not like terms as the variables are same but powers aren't same.

The given polynomials are:

c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10

Their sum is

c(x) + p(x)  = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11

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Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

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