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Llana [10]
3 years ago
12

How can the Distance and Midpoint Formulas be used to identify specfic polygons? For example, how could you show that a quadrila

teral is a rectangle?
Mathematics
1 answer:
kiruha [24]3 years ago
7 0
In analytical geometry, the distance formula is used to find the distance between lines, points, or between a line and a point. If you want to know what specific polygon the coordinates of the points makes, then you are going to use the distance formula for points. The equation is 

d = √[(x₂-x₁)²+(y₂-y₁)²]

where x₁ & y₁ and x₂ & y₂ are coordinates of points 1 and 2

Now, you have to draw the coordinates on the Cartesian plane first. Then, identify two adjacent points and find the distance using the given formula. Do this for all pair of adjacent points. If you get two sets of equal lengths, then that polygon is a rectangle. Because by definition, a rectangle is a quadrilateral having two pairs of parallel and equal side lengths.
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A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang
Alika [10]

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

5 0
2 years ago
If ∠ABE = 100° and ∠EDC = 100°, are the two triangles, ΔABE and ΔEDC similar? If so, by what criterion?
MAVERICK [17]
No
because 2 similar triangles have to meet one of the following conditions:
1. all sides are equal
2. 2 pair of equal sides & the angles between these sides are equal
7 0
3 years ago
Read 2 more answers
At a store, notebooks are on sale for 78% off the regular price. The cost of a notebook is represented by n. Which of the
zlopas [31]

Answer:

C

Step-by-step explanation:

If the cost is represented by n, why would you subtract the cost of the notebook by 0.78 while multiping it witht the cost?

5 0
2 years ago
Read 2 more answers
QUICK If r+t = r and r−t = −s which of the following must be equal to t?
lord [1]

Answer:

Well t has to be zero, for r+t to equal r itself. so -s is equal to r, because it's r-0. Answer is C

5 0
2 years ago
72/12 ghhsnjdjdjjdjbdbdbdbdbxb
aliina [53]
72 divided by 12 is 36
5 0
3 years ago
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