Is it possible to calculate X? If so, what is it?
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Is it possible to calculate X? If so, what is it?
To solve the problem, we will perform algebraic manipulation to find .
The triangle gives expressions for sides: and . To find where these are potentially determined equal or prominent in symmetry or division:
Solve this equation for :
Upon simplification:
Therefore, the solution is , confirmed as the valid solution satisfying provided problem setup.
Solve for X:
\( 3x=18 \)
Looking at the diagram, these expressions represent corresponding sides of similar triangles that appear to be equal in this specific case. The problem is asking us to find when these two sides have the same length.
Check your algebra! In this problem, X should be positive since it represents a scaling factor for triangle sides. If you get negative, review your equation setup and solving steps.
Look for similar positioning in the triangles and any angle markings. Corresponding sides are opposite to equal angles in similar triangles.
Yes! You could also set up a proportion if you know the triangles are similar: . But the direct equality method shown here is simpler for this problem.
X is a variable that determines the lengths of the triangle sides. When X = 14.5, one side is 6(14.5) = 87 units and the other is 10(14.5) - 58 = 87 units long.
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