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3 years ago

Find d and the measure of each side of equilateral triangle KLM if KL=d+2, LM=12-d, and KM=4d-13

Mathematics

1 answer:

fiasKO [112]3 years ago

4 0

Answer:

all sides are 7 units

Step-by-step explanation:

Since the triangle is equilateral then all 3 sides are equal in length

equate any 2 sides and solve for d

KL = LM

d + 2 = 12 - d ( add d to both sides )

2d + 2 = 12 ( subtract 2 from both sides )

2d = 10 ( divide both sides by 2 )

d = 5

KL = d + 2 = 5 + 2 = 7

LM = 12 - d = 12 - 5 = 7

KM = 4d - 13 = (4 × 5) - 13 = 20 - 13 = 7

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3 years ago

A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. W

crimeas [40]

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanatio

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3 years ago

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5. The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle (1 point)

andriy [413]

Answer:

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