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.
Answer:
33.7º
Step-by-step explanation:
tan = opp/adj
tan∅ = 100/150 = 2/3
∅ = arctan 2/3
∅ = 33.690067525979787
33.7º
Answer:
The square root of six hundred and eighty-three √683 = 26.13426869074
Applying the midsegment theorem, the <u>value of x = 5</u>
<em><u>Recall:</u></em>
- The midsegment theorem of a triangle states that the length of the mid-segment (DE) which is parallel to the third side (AC), is half the length of the third side AC of triangle BAC.
<em><u>Thus:</u></em>
DE = 1/2(AC)
2x - 3 = 1/2(x + 9)
2(2x - 3) = x + 9
4x - 6 = x + 9
4x - x = 6 + 9
3x = 15
x = 5
Therefore, applying the midsegment theorem, the <u>value of x = 5</u>
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Learn more about the midsegment theorem on:
brainly.com/question/7423948
