6x+4=5x-6 what is the solution for it
2 answers:
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The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
<h3>How to find Scale Factor?</h3>Scale factor = dimension of new figure / dimension of original figure
The polygons given are shown in the diagram attached below.
Figure A is the original figure
Figure B is the new figure.
x, y, and z has been used to mark the missing sides of figure B.
One dimension of original figure = 15
Corresponding dimension of the new figure = 3
Scale factor = new/original = 3/15
Scale factor = 1/5
To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:
x = 12 × 1/5 = 2.4
y = 18 × 1/5 = 3.6
z = 20 × 1/5 = 4
In summary:
The scale factor is: 1/5.
The missing sides of figure B are: 2.4, 3.6, and 4.
Learn more about scale factor on:
Answer:
The polygons are similar.
Step-by-step explanation:
By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.
Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.
The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is .
The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is .
If these polygons are similar, these proportions must be equal.
Checking, we see that these proportions are equal, and therefore the polygons are similar.