X + (4x+15) = 180
5x+15=180
5x=165
x=33
4(33)+15=147. (Or you could subtract 33 from 180)
Check answer: 33+147=180 yes
Using proportions, it is found that the scale factor of the transformation is of 1/3.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, during the transformation, each coordinate was divided by 3, hence, applying the proportion, the scale factor of the transformation is of 1/3.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
The vertex Q' is at (4,5)
Step-by-step explanation:
Given:
Quadrilateral PQRS undergoes a transformation to form a quadrilateral P'Q'R'S' such that the vertex point P(-5,-3) is transformed to P'(5,3).
Vertex point Q(-4,-5)
To find vertex Q'.
Solution:
Form the given transformation occuring the statement in standard form can be given as:

The above transformation signifies the point reflection in the origin.
For the point P, the statement is:

So, for point Q, the transformation would be:

Since two negatives multiply to give a positive, so, we have:

Answer:
x = - 15
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
35 - 5 - 8x - 2x = 180 ( simplify left side )
30 - 10x = 180 ( subtract 30 from both sides )
- 10x = 150 ( divide both sides by - 10 )
x = - 15