5. The scale of a map says that 8 cm represents 5 km.
2 answers:
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Answer:
x = 67.5 ft
Step-by-step explanation:
In ΔNMP
∵ AB // NP
∴ m∠ MAB = m∠MNP
∴ m∠MBA = m∠MPN
∵ ∠M is a comman angle
∴ ΔMAB is similar to ΔMNP
∴ MA/MN = MB/MP
∵ MA = 71.5 - 22 = 49.5
∴ 49.5/71.5 = x/97.5
∴ x = = 67.5
Using proportions, it is found that the coordinates of point B are given as follows:
A. (1.6, 0).
<h3>What is a proportion?</h3>A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Point B is 3/4 of the way from AB to AC, hence:
The points are:
- A(-2,-3).
- B(x,y).
- C(3,1).
Then, to find the x-coordinate:
x + 2 = 3.6.
x = 1.6.
For the y-coordinate:
y + 3 = 3
y = 0.
Hence option A is correct.
More can be learned about proportions at brainly.com/question/24372153
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