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jeka94
3 years ago
14

List the steps in solving the equation 16 = 2 (4d - 8) - 4

Mathematics
2 answers:
nikdorinn [45]3 years ago
5 0

Answer:

Step-by-step explanation:

16=2(4d-8-2)

4d-10=16/2

4d=8+10

d=18/4

d=9/2

laila [671]3 years ago
5 0

Answer:

\huge\boxed{4.5,\ \text{See explanation for steps.}}

Step-by-step explanation:

If we have the equation 16=2(4d-8)-4, our goal is to isolate the variable d on one side of the equation.

We can do this by performing a series of steps to reverse the equation.

1. Apply the distributive property on the right side:

16=(4d \cdot 2) + (2 \cdot -8) - 4\\\\16 = 8d - 16 - 4

2. Combine like terms on the right side:

16 = 8d + (-16-4)\\\\16 = 8d-20

3. Add 20 to both sides:

16 + 20 = 8d -20 + 20\\\\36 = 8d

Divide both sides by 8:

36 \div 8 = 8d \div 8 \\\\ 4.5 = d

So d=4.5.

Hope this helped!

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1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)
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Transforming a shape involves changing the size and/or the location of the shape.

  • The rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)
  • The rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y).
  • The rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

(x,y) \to (x,-y)

So, a rule that will take the triangle to a congruent triangle is (x,y) \to (x,-y)

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

(x,y) \to (0.5x,0.5y)

So, a rule that will take the triangle to a figure that is similar is (x,y) \to (0.5x,0.5y)

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is (x,y) \to (0.5x,2y).

Read more about transformation at:

brainly.com/question/4289712

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