Triangle ABC is similar to triangle DEC, ∠B ≅ ∠E and 3DE = 2BC
<h3>What is
transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>rotation, reflection, translation and dilation.</em>
Dilation is the increase or decrease in the size of a figure by a scale factor.
Right triangle ABC is reflected over AC, then dilated by a scale factor of 2/3 to form triangle DEC, hence:
Triangle ABC is similar to triangle DEC, corresponding angles are congruent (∠B ≅ ∠E) and DE = (2/3)BC i.e. 3DE = 2BC
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I'm pretty sure you are asking for the value of b. Let's actually write it and then solve it:
Solving for b yields:
So,
b = 19.59. If you want the answer in simplified radical form, we can also do that:
So,
b = 8√6 = 19.59
I don't know what c you are talking about because there is no picture
An expression is defined as a set of numbers, variables, and mathematical operations. The simplified version of the given expression is (3√2-2)√x³.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression 
can be simplified as shown below.
Hence, The simplified version of the given expression is (3√2-2)√x³.
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Formula= Base times height divided by 2
6 x 7= 42
42/ 2
answer= 21
