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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Answer:
The simplest radical form is
⇒ (c)
Step-by-step explanation:
To simplify any square root;
- Factorize the number under the root using prime numbers
- Take out the root any number repeated twice as one number
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<em><u>Examples:</u></em>
1. Simplify 
factorize 8 using prime numbers
8 = 2 × 2 × 2, then 
Take two of 2 out the root, then 
2. Simplify 
factorize 18 using prime numbers
18 = 2 × 3 × 3, then 
Take the two 3 out the root, then 
Let us simplify 
∵ 45 = 3 × 3 × 5
∴ 
→ Take the two 3 out by one 3
∴ 
→ Multiply the numbers out the root
∴ 
∴ The simplest radical form is 
Answer:
5,6241
Step-by-step explanation:
I have no idea if this is correct but I hope it is. I hope this helps.
Answer:
293 seconds
Step-by-step explanation:
60*4=240
240+53=293
(2/5) of (2/3) of students = 4/15 of students study French. Then 1-(4/15) = 11/15 of students do not study French. The ratio you want is
(4/15):(11/15) = 4:11
_____
In a math expression "of" means "times".