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, 
<span>5.823 x 103 i hope it right ???</span>
Answer:
$0.06 per square inch
Step-by-step explanation:
The question should be:
<em>"If tile costs $8.50 per square foot, how much does it cost per square inch?"</em>
<em />
To solve this, we basically need a conversion from feet to inches. BUT 2 times, since we are talking about "square feet" and "square inches".
We know 1 feet = 12 inches
Also, since we are going from square feet to square inches [big to small], we have to divide TWICE.
Thus, we will have:

We are dividing 8.5 (the cost) by 12, 2 times since we want square feet in square inches. The answer is:

So, tile costs $0.06 per square inch
Answer:
Harper is 200 yards away from her home if the map shows 3 inches
Step-by-step explanation:
50 yards = 3/4 inch
3 inches = 3/1
3/1 x 4/4 = 12/4
12/4 = 3 inches
50 x 4 = 200
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
x = 45/2 = 22.5 cm
Step-by-step explanation:
2x + 45 = 90
2x = 90- 45= 45
2x = 45
x = 45/2 = 22.5 cm
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