4.2 is the answer of this question you are asking ✌️
The first thing we must do for this case is to calculate the scale factor.
For this, we make the relationship between two parallel sides.
We have then:
![k =\frac{B'C'}{BC}](https://tex.z-dn.net/?f=%20k%20%3D%5Cfrac%7BB%27C%27%7D%7BBC%7D%20%20%20)
Substituting values we have:
![k = \frac{9.5}{3.8}\\k = 2.5](https://tex.z-dn.net/?f=%20k%20%3D%20%5Cfrac%7B9.5%7D%7B3.8%7D%5C%5Ck%20%3D%202.5%20%20%20)
We are now looking for the value of AB
We have then:
![AB = \frac{A'B'}{k}](https://tex.z-dn.net/?f=%20AB%20%3D%20%5Cfrac%7BA%27B%27%7D%7Bk%7D%20%20%20)
Substituting values:
![AB = \frac{15}{2.5}\\AB = 6](https://tex.z-dn.net/?f=%20AB%20%3D%20%5Cfrac%7B15%7D%7B2.5%7D%5C%5CAB%20%3D%206%20%20%20)
Answer:
The scale factor is:
![k = 2.5](https://tex.z-dn.net/?f=%20k%20%3D%202.5%20%20)
The value of AB is:
![AB = 6](https://tex.z-dn.net/?f=%20AB%20%3D%206%20)
Reflection:
Reflection is a type of rigid transformation which requires the turning of an object, shape or figure about a reference point or line. Therefore, the needed additional information is ∠DFE ≅ ∠ DFG.
Reflection implies turning the given triangle DEF about its side DF, so as to produce an image with the same dimensions but different orientation.
The required proof by Side-Angle-Side (SAS) implies that the relations will be in respect of two of its sides and their included angle.
So According to the above statement,
GF ≅ FE (: given)
DF is the common side to triangles DEF and DFG.
DFG is the included side.
Thus ∠DFE ≅ ∠ DFG (Side-Angle-Side postulate, SAS)
Learn more about Reflection on:
brainly.com/question/26494295
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Answer:
Step-by-step explanation:
it is a and j
Answer:
32x+540
Step-by-step explanation: