30 POINTS!! “Use the figures to help you complete the statements” Help pls
2 answers:
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Answer:
<em>Strips should be </em><em>1.5 ft wide.</em>
Step-by-step explanation:
Given:
Width of 1st piece = 6 ft
Width of 2nd piece = 7.5 ft
To find:
To find the maximum width possible to make strips of equal size from both the pieces.
Solution:
This problem can be visualized as if we are given two numbers and we have to find the Highest common factor for both of them i.e. HCF of 6 and 7.5 will be our answer.
Let us try to factorize the given factors:
The common factors are highlighted above as underlined.
Therefore, the answer is 3 0.5 = <em>1.5 ft </em>
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<em>Strips should be </em><em>1.5 ft wide.</em>
Given: We have the given figure through which we can see
LK=16,
KJ=10,
LM=24,
MN=15
To Find: Whether KM || JN and the reasoning behind it.
Solution: Yes, KM || JN because
Explanation:
For this solution, we use the concept of Similar Triangles.
Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).
Now, ∠MLK=∠NLJ
To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN
which is true as both sides simplify to
Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).
Therefore, KM || JN.
To come to the reasoning, notice that
In other words,