Give an example of fractions you wold compare by finding common numerators. Please help!
2 answers:
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The measure of EC is 1 ft.
Solution:
Given data:
AD = 8 ft, DB = 2 ft, AE = 4 ft
To find the measure of EC:
Using triangle proportionality theorem,
<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.</em>
Do cross multiplication.
8 EC = 8
Divide by 8 on both side of the equation, we get
EC = 1
EC = 1 ft
Hence the measure of EC is 1 ft.
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Comments:
We can see that as long as we add/subtract any value to both sides nothing happens: true statements remain true and false statements remain false. But if we multiply or divide by negative values, false statements become true and true statements become false. That why, when you multiply or divide an inequality by a negative number, you should also flip the inequality sign. For example, if we start with the true inequality
If we multiply both sides by -2 we have to flip the sign as well:
And the inequality will remain true.