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den301095 [7]
2 years ago
8

Quadrilateral ABCD is an Isosceles Trapezoid. Which angle is congruent to Angle C?

Mathematics
2 answers:
dalvyx [7]2 years ago
4 0

Answer:

The reason why any angles coming out from <em>D</em> and <em>C</em> are congruents is  because of the <em>geometry coungruence's concept</em> of 2 items having the same pattern, shape or form and size as the mirror image of the other.

2 angles would be congruent by being the same angle in degrees or radians.

Thereby any angle coming out from <em>C</em> as vertex would be congruent with any other vertex point angle mirroring the resulting figure shaped by the radiants or degrees of such angle.

Step-by-step explanation:

weqwewe [10]2 years ago
3 0
Answer: Angle D

The base angles C and D are congruent because this is an isosceles trapezoid. In addition, angle A = angle B because this is another pair of base angles (imagine rotating the figure 180 degrees to make segment AB the base)
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A bacteria culture begins with 13 bacteria which triple in amount at the end of every hour. How many bacteria are grown during t
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The end of first hour = 13*3 = 39

The end of second hour = 39*3 = 117

The end of third hour = 117*3 = 351

The end of fourth hour = 351*3 = 1,053

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The end of eighth hour = 85293*3 = 255,879

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The correct answer is D.2,302,911

6 0
2 years ago
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Foggy Optics, Inc., makes laboratory microscopes. Setting up each production run costs $2500. Insurance costs, based on the aver
Ray Of Light [21]

Answer: 4

Step-by-step explanation:

Let N be the total number of runs.

The microscopes per year will be equal to the total number of runs * microscopes per run

total number of microscopes = total number of runs * microscopes per run

now we have each run to cost 2500, therefore:

run costs = 2500 * total runs = 2500*N

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

storage costs = 20* microscopes per run /2 = 20*N/2

insurance costs = 15 * microscopes per run = 15*N

the costs are:

costs = run costs + storage + insurance

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

costs = 2500N + 40000/N => C(N) = 2500N + 40000/N

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

have a nice day

4 0
2 years ago
Based on Pythagorean identities, which equation is true? sine squared theta minus 1 = cosine squared theta secant squared theta
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Answer:

Cot^2\theta-Csc^2\theta=-1

Step-by-step explanation:

The only Pythagorean identities are:

1. \ Sin^2\theta+Cos^2\theta=1

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3. \ 1+Cot^2\theta=Csc^2\theta

4. \ Sin^2\theta=1-Cos^2\theta\\  \ \ Cos^2\theta=1-Sin^2\theta

 

Therefore,Cot^2\theta-Csc^2\theta=-1 is correct as it's one of the pythagorean identities.

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