(Brainliest will be given) Determine which of the following descriptions is accurate.
1 answer:
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Answer:
Step-by-step explanation:
absolute(5x + 6) = x
There are 2 solutions to this
Solution 1
5x + 6 = x Subtract 5x from both sides.
5x - 5x + 6 = x - 5x
6 = - 4x Divide by - 4
6/ - 4 = -4x / -4
x = - 1.5
Solution 2
5x + 6 = - x
6 = -x - 5x
6 = - 6x
x = 6/-6
x = - 1
Here is a graph which shows the solutions.
Purple color figure is similar to the original figure.
<u>Solution:</u>
Property of similar polygon:
<em>Similar polygons have same shape, corresponding angles are congruent and the corresponding sides are in the same ratio.</em>
(1) <u>Compare original figure with green color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the green color figure:
67°, 23° and 90°
These two angles of the triangles not congruent angles.
Hence these shapes are not similar.
(2) <u>Compare original figure with yellow color figure:</u>
Angles of the original figure:
37°, 53° and 90°.
Angles of the yellow color figure:
67°, 23° and 90°
These two angles of the triangles are not congruent angles.
Hence these shapes are not similar.
(3) <u>Compare original figure with purple color figure:</u>
Angles of the original figure:
37°, 53° and 90°
Angles of the purple color figure:
37°, 53° and 90°
These two triangles have same shape and congruent angles.
Ratio of the sides:
These two triangles have same ratio.
Hence these shapes are similar.
Hence purple color figure is similar to the original figure.