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inna [77]
3 years ago
6

Triangles ABC and DEF similar

Mathematics
1 answer:
Anarel [89]3 years ago
4 0

Answer:

DE = 4 1/2

EF = 3 3/4

Step-by-step explanation:

AB/AC = DE/DF

6/4 = DE/3

cross-multiply:

4DE = 18

DE = 18/4 or 4 1/2

AB/BC = DE/EF

6/5 = 4.5/EF

cross-multiply:

6EF = 22.5

EF = 3.75

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Ralph pays his workers $100 each, and labor is the only variable cost. At a quantity of 2000 chickens, how many workers does he
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Ralph hires 8 workers

What is variable cost ?

Variable costs are expenses that alter as the volume of a good or service a company produces fluctuates. Marginal costs multiplied by the number of units produced make up variable costs. They can be regarded as typical expenses as well. Total cost is divided into two parts: fixed costs and variable costs.

Workers paid = $100

Assuming $1600 is given as a Total cost for the 2000 quantity for chicken and Fixed cost is $800

Total cost = $1600 out of which $800 is the fixed cost

Variable cost =  Total cost - Fixed cost

                      = 1600 - 800

                      = 800

Numbers of workers hired = Variable cost / Workers pay

Numbers of workers hired = 800 / 100

Numbers of workers hired = 8

Therefore, the number of workers that Ralph hires is 8 workers

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6 0
1 year ago
Triangle ABC has vertices A(–1, 0), B(4, 0), and C(2, 6). If ΔABC is translated using the function rule (x, y) → (x – 6, y – 5)
Elina [12.6K]

Answer:

b.  A''(7, 5), B''(2, 5), C''(4, –1)

Step-by-step explanation:

Given vertices of ΔABC:

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  • B = (4, 0)
  • C = (2, 6)

Translation <u>mapping rule</u>:

(x, y) → (x – 6, y – 5)

Therefore:

  • A' = (-1 - 6, 0 - 5) = (-7, -5)
  • B' = (4 - 6, 0 - 5) = (-2, -5)
  • C' = (2 - 6, 6 - 5) = (-4, 1)

Rotation of 180° clockwise rule:

(x, y) → (-x, -y)

Therefore:

  • A'' = (-7, -5) = (7, 5)
  • B'' = (-2, -5) = (2, 5)
  • C'' = (-4, 1) = (4, -1)

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5 0
1 year ago
At one store, 20 percent of the pairs of shoes sold are of men's athletic shoes. Lionel rings up 8 orders which contain one or m
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7 0
3 years ago
Point J has coordinates (–3, 4) in the coordinate plane. Point K has coordinates (3, 4). Both points will be reflected across th
kumpel [21]

The location of the image of points <em>J </em>and <em>K </em>following a reflection across the x-axis are;

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Coordinates of point are;

J(-3, 4), K(3, 4)

The given transformation is; A reflection across the x-axis

The representation of a reflection across the x-axis is presented as follows;

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The image of <em>J </em>and <em>K </em>following a transformation across the x-axis are therefore;

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8 0
2 years ago
Which shape represents 6% of the rectangle?
Aleks04 [339]

Answer:

Step-by-step explanation:

D

area of rectangle=25*12=300

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area of D=1/2 *6*6=18

so  D

6 0
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