To find the value of x for a pair of similar polygons, set up a proportion comparing the lengths of corresponding sides and solve for x.
The value of x can be found by examining the corresponding sides of similar polygons. For example, if one side of the first polygon is twice as long as the corresponding side of the second polygon, then we can set up the proportion:
Length of side in polygon 1 / Length of side in polygon 2 = 2 / 1
Once we have the proportion set up, we can solve for x by cross-multiplying and then dividing:
Length of side in polygon 1 = 2 * Length of side in polygon 2
So, the value of x is 2 times the length of the corresponding side in the second polygon.
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Answer:
The equivalent expression is
Step-by-step explanation:
Given:
Here we have expression and to simplify it
Distribute minus sign
Combine the like terms (whose variable part same)
Equivalent expression
Hence, The equivalent expression is
The slope and y-intercept of a linear equation can be identified directly from the graph. In this case, the y-intercept is 9 and the slope is 3, making the equation of the line y = 3x + 9.
In Mathematics, we often work with linear equations, which can be represented graphically as a straight line. The slope and y-intercept are two key aspects of this equation and can be obtained directly from the graph. Specifically for problem 6, your line graph has x on the horizontal axis and y on the vertical axis, and intersects the y-axis at the point (0,9). This tells us that the y-intercept (represented by b in the equation) is 9. Furthermore, the slope (represented by m in the equation) is the rise over run, or change in y over change in x. In this case, for every 1 unit increase in x, y increases by 3 units, so the slope is 3. Therefore, the standard form of the line equation would be "y = 3x + 9."
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