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Olenka [21]
1 year ago
12

AB= 4x + 7 and BC = 20x - 5 AB ~= BC

Mathematics
2 answers:
Mariana [72]1 year ago
8 0

The value of the variable x is 3/4

<h3>What are congruent segments</h3>

Congruent segment are segments with equal or congruent lengths.

From the information given, we have that line AB is approximately equal to line BC. This is represented as;

AB = BC

Where;

  • AB = 4x + 7
  • BC = 20x - 7

Now, let's equate the expressions

4x + 7 = 20x - 5

collect like terms

4x - 20x = - 5 - 7

- 16x = - 12

Make 'x' the subject of formula

x = -12/-16

x = 3/4

Thus, the value of the variable x is 3/4

Learn more about line segments here:

brainly.com/question/1388250

#SPJ1

Mnenie [13.5K]1 year ago
6 0

Answer:

3/4

Step-by-step explanation:

Congruent segments have the same length, so:

AB= BC \\ \\ 4x+7=20x-5 \\ \\ 12=16x \\ \\ x=3/4

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Nataly [62]

Answer:

p = -10x + 200

m = -10x^2 +200x

Step-by-step explanation:

We know that at a price of $ 150, 5 televisions are sold and at a price of $ 100, 10 televisions are sold.

We must write a linear equation for this situation.

The equation of the line will have the following form

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m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{100-150}{10-5}=-10

b=p_1-mx_1\\\\b=150-(-10)(5)\\\\b=200

The equation is:

p = -10x + 200

Now we know that the revenue m is the product of the price p for the quantity sold x.

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4 0
2 years ago
Read 2 more answers
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Answer:

Step-by-step explanation:

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Take note, if the inequality is a less than or equal to or (more than or equal to), the dots will be solid, otherwise it will be hollow.

Since this is a piecewise function, here is one question you might want to ask yourself:

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Answer:

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Step-by-step explanation:

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hope this helps :)

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Phoenix [80]
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