We can use a theorem called Proportional segments in right triangles.
1. How far is library from the park?
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The perpendicular is the mean proportional between the segments of the hypotenuse, so:
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2. How far is the park from the football field?
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Each leg of the given triangle is the mean proportional between the hypotenuse and the adjacent segment, so:
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Answer: A.
Answer:
3 miles
Step-by-step explanation:
A trapezoid has an area of 18 square miles. The bases are 5 miles and 7 miles. Using these measurements, the height of this trapezoid is how many miles
Area of a trapezoid = 1/2 (a + b)h
The formula for the height of a trapezoid =
h = 2(A/a + b)
A = 18 square miles
a = 5 miles
b = 7 miles
h = 2(18/5 + 7)
h = 2( 18/12)
h = 2 ( 9/6)
h = 3 miles
The measure of ab and df are 3cm and 7.5cm respectively
<h3 /><h3>Similarity theorem of shapes</h3>
In order to determine the missing sides, we need to take the ratio of the similar sides as shown:
1) ab/de = ac/df
ab/de = ab+bc/df
Substitute the given values
ab/2 = ab+4.5/2+3
ab/2 = ab+4.5/5
2(ab+4.5) = 5ab
2ab+9=5ab
3ab = 9
ab = 3cm
Hence the measure of ab is 3cm
2) ae/ce = bf/df
24/9 = 20/df
24df =. 9(20)
24df = 180
df = 7.5cm
Hence the measure of ab and df are 3cm and 7.5cm respectively
Learn more on similar shapes here: brainly.com/question/11920446
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