3 ( x - 1/4 ) = 13/6
2 answers:
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Answer:
x = 28
Step-by-step explanation:
If the quadrilaterals are similar, there is a proportionality among their sides:
The top side in the large figure (70) is to the top side in the small figure (10) in the same ratio as the left side (x) in the large figure is to the left side in the small figure (4). This in math terms is written as:
We can then solve for the unknown "x" by multiplying both sides by 4:
For a better understanding of the solution given here please go through the diagram in the file attached.
To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."
Thus, in our question, we will have:
The above equation can be rearranged as:
...(Equation 1)
If we have a proper look at the denominator which is , we note that in
,
Thus, (Equation 1) wil give us:
<u>Therefore, LB= 12 feet</u>
