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2 years ago

If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure

Mathematics

1 answer:

Contact [7]2 years ago

8 0

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

⇒ Angle ABC = 3x-1

Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

⇒ 3x-1 = x+47

⇒ 2x = 48

⇒ x = 24

So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree

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2 years ago

Read 2 more answers

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Step-by-step explanation:

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we also have insurance and storage costs (note the average thats why we divide by 2):

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now the comany sells 1600 microscopes a year, so in order to figure out the number of microscopes per run we divide 1600 by the total number of runs N and replace in the costs

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now derivate the function with respect to N and equal to 0:

$\frac{d}{dN}(2500N + 40000/N) = 2500(1-16/N^2) \\\\ 2500(1-16/N^2) = 0\\$

this gives you two solutions, N = -4 which is not eligible (you cant make negative microscopes lol) and N = 4 which is the answer

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2 years ago

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marishachu [46]

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