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klemol [59]
2 years ago
12

39. Solve for x. SHOW ALL WORK FOR FULL CREDIT m n 6x-4 112°​

Mathematics
2 answers:
coldgirl [10]2 years ago
4 0

Answer:

x = 12

Step-by-step explanation:

6x - 4 and 112 are same- side interior angles and sum to 180° , that is

6x - 4 + 112 = 180

6x + 108 = 180 ( subtract 108 from both sides )

6x = 72 ( divide both sides by 6 )

x = 12

damaskus [11]2 years ago
3 0

Answer:

x = 12

Step-by-step explanation:

<u />

<u>Consecutive Interior Angles Theorem</u>

When a <u>straight line</u> intersects <u>two parallel straight lines</u>, the consecutive interior angles formed are are supplementary (sum to 180°).

Therefore:

⇒ 6x - 4 + 112 = 180

⇒ 6x + 108 = 180

⇒ 6x + 108 - 108 = 180 - 108

⇒ 6x = 72

⇒ 6x ÷ 6 = 72 ÷ 6

⇒ x = 12

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Answer:

Step-by-step explanation:

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Probability that at most 4 cards are spade P=\frac{N_0}{N}

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Answer:

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Step-by-step explanation:

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Answer:

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Step by step explanation:

\text{Given that,  two roots are}~ -4~ \text{and}~  4i.\\\\\text{Let,}\\\\~~~~~~~x = 4i\\\\\implies  x^2 = 16i^2~~~~~~~;[\text{Square on both sides}]\\\\\implies x^2 = -16~~~~~~~~;[i^2 = -1]\\\\\implies x^2 +16 = 0\\\\\text{So,}~ x^2 +16~ \text{ is a factor of the 3 degree polynomial}.\\ \\ \text{The polynomial is ,}\\\\ f(x) = (x+4)(x^2 +16)\\\\~~~~~~~=x^3 +16x +4x^2 +64\\\\~~~~~~~=x^3 +4x^2 +16x +64

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