Na-m; use m=2; and n=8
1 answer:
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Answer:
The lengths of MN is 22 units, MO is 26 units and JK is 10 units
Step-by-step explanation:
<em>A l</em><em>ine segment</em><em> joining the </em><em>mid-points of two sides</em><em> in a triangle is </em><em>parallel to the third side</em><em> and </em><em>equal to half its length</em>
In Δ MON
∵ J, K, and L are mid-points
∵ JL // MN and LK // MO
∴ L is the mid-point of ON
∴ J is the mid-point of MO
∴ K is the mid-point of MN
∵ J, L are the mid-points of MO and ON
∵ JL is opposite to MN
→ By using the rule above
∴ JL = MN
∵ JL = 11 units
∴ 11 = MN
→ Multiply both sides by 2
∴ 22 = MN
∴ MN = 22 units
∵ K, L are the mid-points of MN and ON
∵ KL is opposite to MO
→ By using the rule above
∴ KL = MO
∵ KL = 13 units
∴ 13 = MO
→ Multiply both sides by 2
∴ 26 = MO
∴ MO = 26 units
∵ J, K are the mid-points of MO and MN
∵ JK is opposite to ON
→ By using the rule above
∴ JK = ON
∵ ON =20 units
∴ JK = (20)
∴ JK = 10 units
∴ The lengths of MN are 22 units, MO is 26 units and JK is 10 units
Answer:
The actual distance between the historical markers is 18 miles.
Step-by-step explanation:
Given : On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles.
To find : What is the actual distance between the historical markers?
Solution :
We have given that,
2.5 inches represents 10 miles.
i.e, 1 inch represent miles.
1 inch = 4 miles.
Now, The distance between two historical markers is 4.5 inches.
The actual distance between the historical markers in 4.5 inch is
Therefore, The actual distance between the historical markers is 18 miles.