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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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Suppose that the hourly wages of fast food workers are normally distributed with an unknown mean and standard deviation. The wag
Nutka1998 [239]

Answer: 1.303639

Step-by-step explanation:

The t-score for a level of confidence (1-\alpha) is given by :_

t_{(df,\alpha/2)}, where df is the degree of freedom and \alpha is the significance level.

Given : Level of significance : 1-\alpha:0.80

Then , significance level : \alpha: 1-0.80=0.20

Sample size : n=40

Then , the degree of freedom for t-distribution: df=n-1=40-1=39

Using the normal t-distribution table, we have

t_{(df,\alpha/2)}=t_{39,0.10}=1.303639

Thus, the t-score should be used to find the 80% confidence interval for the population mean =1.303639

8 0
3 years ago
Kevin has $24 to buy a gift for his cousin he found a gift for $22 with a 5% sales tax added on will Kevin have enough money to
STatiana [176]

Kevin will have enough. He will need to pay $23.10.

5% of $22 is $1.10.

22+1.10=23.10

23.10 is less than 24

6 0
3 years ago
PLS HELP ITS A SIMPLE EQUATION I GIVE 30 PTS AND BRANLIEST
KengaRu [80]

Answer:

- 59/40

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find the distance, c, between (–3, –1) and (3, 2) on the coordinate plane. Round to the nearest tenth if necessary ??
astra-53 [7]

Point distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²)

Substitute

d=√((3-(-3))²+(2-(-1)²)

Simplify

d=√((6)²+(3)²)

d=√(36+9)

d=√(45)

<h2><u><em> d=3√(5)</em></u></h2>

<u><em></em></u>

-Hunter

8 0
2 years ago
Read 2 more answers
Help me please i have no idea how to do this
hoa [83]
The correct answer is A.

In geometry, a set of points in space are coplanar if there exists a geometric plane that contains them all. For example, three points are always coplanar, and if the points are distinct and non-collinear, the plane they determine is unique. In other words, to be coplanar, all points have to lie in the same plane. Point d is not in the plane, therefore all points except d, are non coplanar.
6 0
3 years ago
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