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kogti [31]
1 year ago
12

In the figure below, j || m. Find the values of x and y.

Mathematics
1 answer:
Sedaia [141]1 year ago
3 0

X and 73 are same-side interior angles, which are supplementary (they add up to 180).

x + 73 = 180

x = 107

X and (6y - 79) are vertical angles, which are congruent (have the same measure/value.

x = 6y - 79

107 = 6y - 79

6y = 186

y = 31

Hope this helps!

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The minute hand of a clock 7 inches long to the nearest 10th of an inch how far does the tip of the minute and trouble as time p
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Answer:

The answer to the question is;

The distance the tip of the minute and travels as time progresses from 12:00 to 12:25 is 18.33 in.

Step-by-step explanation:

To solve the question, we note that

Number of minutes in one complete revolution of the clock = 60

Position travel of the minute hand = 12:00 to 12:25 = 25 minutes

Fraction of complete revolution traveled by minute hand = 25/60

Distance of one complete revolution = Circumference of circle = 2·π·r

Length of minute hand = 7 inches = r

Distance of one complete revolution = 2 × π × 7 = 43.98 in

Distance traveled by minute hand = 25/60×43.98 in = 18.33 in.

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3 years ago
What is the difference of the two polynomials?
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You subtract the like terms, don't forget to distribute the subtraction sign, its 7x2+5x
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PLEASE HELP I NEED THIS NOW SO BADLY :(( Simplify: 2 1/4 x+(4 1/3 x−7 4/5 )÷2 3/5
prohojiy [21]

Answer:

2\frac{1}{4}x+\left(4\frac{1}{3}x-7\frac{4}{5}\right)\div \:2\frac{3}{5} = \frac{47x-36}{12}

Step-by-step explanation:

Considering the expression

2\frac{1}{4}x+\left(4\frac{1}{3}x-7\frac{4}{5}\right)\div \:2\frac{3}{5}

Simplifying the expression

\frac{1}{4}x+\left(4\frac{1}{3}x-7\frac{4}{5}\right)\div \:2\frac{3}{5}

\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{1}{4}=\frac{9}{4}

\frac{9}{4}x+\left(4\frac{1}{3}x-7\frac{4}{5}\right)\div \frac{13}{5}

\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{3}{5}=\frac{13}{5}

\frac{9}{4}x+\left(4\frac{1}{3}x-7\frac{4}{5}\right)\div \frac{13}{5}

\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{1}{3}=\frac{13}{3}

\frac{9}{4}x+\left(\frac{13}{3}x-7\frac{4}{5}\right)\div \frac{13}{5}

\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 7\frac{4}{5}=\frac{39}{5}

\frac{9}{4}x+\left(\frac{13}{3}x-\frac{39}{5}\right)\div \frac{13}{5}

As

\frac{9}{4}x=\frac{9x}{4}

and

\frac{\frac{13}{3}x-\frac{39}{5}}{\frac{13}{5}}=\frac{5\cdot \frac{65x-117}{15}}{13}

So,

\frac{9x}{4}+\frac{5\cdot \frac{65x-117}{15}}{13}

\mathrm{Least\:Common\:Multiplier\:of\:}4,\:13:\quad 52

\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}

\frac{117x}{52}+\frac{\frac{4\left(65x-117\right)}{3}}{52}

\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}

\mathrm{Join}\:117x+\frac{4\left(65x-117\right)}{3}:\quad \frac{611x-468}{3}

\frac{\frac{611x-468}{3}}{52}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}

\frac{611x-468}{3\cdot \:52}

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\frac{611x-468}{156}

\mathrm{Factor}\:611x-468:\quad 13\left(47x-36\right)

\frac{13\left(47x-36\right)}{156}

\mathrm{Cancel\:the\:common\:factor:}\:13

\frac{47x-36}{12}

Therefore, 2\frac{1}{4}x+\left(4\frac{1}{3}x-7\frac{4}{5}\right)\div \:2\frac{3}{5} = \frac{47x-36}{12}

Keywords: algebraic expression , simplification

Learn more about algebraic expression from brainly.com/question/11336599

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Ghella [55]

The price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit is 62.13

<h3>Quadratic equation</h3>

y = -14x² + 1035x - 10266

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-14x² + 1035x - 10266 = 0

x = -b ± √b² - 4ac / 2a

= -1035 ± √1035² -4(-14)(-10266) / 2(-14)

= -1035 ± √1071225 - 574896 / -28

= -1035 ± √496329 / -28

x = 1035 / 28 ± √496329 / 28

x = 11.80 or 62.13

The maximum value of x is 62.13

Learn more about quadratic equation:

brainly.com/question/1214333

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Answer: The second one. Sorry if it's wrong

Step-by-step explanation:

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