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Aleks04 [339]
3 years ago
8

A triangle has angles measuring 58 and 93 degrees. What is the measure of the third angle?

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
The third angle is 29 degrees.

180 - 58 - 93 = 29
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Which polynomial can be simplified to a difference of squares
Mrrafil [7]
<h2>Hello!</h2>

The answer is:

The polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}=(4-1)(4+1)

<h2>Why?</h2>

To solve this problem, we need to look for which of the given quadratic terms given for the different polynomials can be a result of squaring (elevating by two).

So,

Discarding, we have:

The quadratic terms of the given polynomials are:

First=10a^{2}

Second=16a^{2}

Third=25a^{2}

Fourth=24a^{2}

We have that the coefficients of the quadratic terms that can be obtained by squaring are:

16a^{2} =(4a)^{2} \\\\25a^{2} =(5a)^{2}

The other two coefficients are not perfect squares since they can not be obtained by square rooting whole numbers.

So, the first and the fourth polynomial are discarded and cannot be simplified to a difference of squares at least using whole numbers.

Therefore, we need to work with the second and the third polynomial.

For the second polynomial, we have:

16a^{2} -4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2} =(4-1)(4+1)

So, the second polynomial can be simplified to a difference of squares.

For the third polynomial, we have:

25a^{2} +6a-6a+36=16a^{2}+36=(5a)^{2}+(6)^{2}

So, the third polynomial cannot be simplified to a difference of squares since it's a sum of squares.

Hence, the polynomial that can be simplified to a difference of squares is the second polynomial:

16a^{2}-4a+4a-1=16a^{2}=(4a)^{2}-(1)^{2}

7 0
3 years ago
Read 2 more answers
What impression do you have of the narrator, Nick Carraway, from his narration and actions?
Anni [7]
Nick is easy to share to since he and his decision are imperfect. We can trust Nick’s account of the facts but we cannot completely trust his decisions of the other characters in the story – he is unfair.His unfairness led him to ridicule Tom and acclaim Gatsby. Gatsby, for Nick signifies a fundamental blamelessness and uprightness, notwithstanding the fact that his life is externally built upon a lie. It is secretly built upon a boy’s dream of the future of personal prominence. This dream speaks to Nick even as he learns to recklessness it for himself.
6 0
3 years ago
How many terms are in 5x4-2x3+x-4
san4es73 [151]
I think that there are 4 termms if we condider onlu plus and minus as operators.
7 0
3 years ago
What is the experamental probability that the coin lands on heads?
sammy [17]

Answer:

The experamental probability that the coin lands on head is 50 %

Step-by-step explanation:

Given:

Experiment:

A coin is Toss

Let the Sample Space be 'S' that is total number of outcomes for a coin has been tossed = { Head, Tail }

∴ n ( S ) =  2

Let A be the event of getting a Head on tossing a coin i.e  { Head }

∴ n( A ) = 1

Now,

\textrm{Probability} =\frac{\textrm{outcomes for the experiment}}{\textrm{total number of outcomes}}

Substituting the values we get

P(A) = \frac{n(A)}{n(S)} \\\\P(A) = \frac{1}{2} \\\\P(A) = 0.5\\\\P(A) = 50\%

The experamental probability that the coin lands on head is 50 %

5 0
3 years ago
Which equation represents the graphed function ?
nadezda [96]

Answer:

A y =-2x + 3

Step-by-step explanation:

7 0
3 years ago
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