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3 years ago

Geo 3 - What Makes a Rectangle?

Mathematics

2 answers:

emmasim [6.3K]3 years ago

5 0

LINES sorry ima chill

WITCHER [35]3 years ago

3 0

Answer:

Just read explanation

Step-by-step explanation:

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal. It can also be defined as a parallelogram containing a right angle. A rectangle with four sides of equal length is a square. The term oblong is occasionally used to refer to a non-square rectangle. A rectangle with vertices ABCD would be denoted as ABCD.

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PART A: Mrs. konsdorf claims that angle R is a right angle.Is Mrs. konsdorf correct? explain your reasoning PART B: if T is trab

Anna007 [38]

Answer:

Part A: Angle R is not a right angle.

Part B; Angle GRT' is a right angle.

Step-by-step explanation:

Part A:

From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).

Slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

The product of slopes of two perpendicular lines is -1.

Slope of GR is

$\text{Slope of GR}=\frac{1-5}{-3-(-6)}=\frac{-4}{3}$

Slope of RT is

$\text{Slope of RT}=\frac{6-1}{2-(-3)}=\frac{5}{5}=1$

Product of slopes of GR and RT is

$\frac{-4}{3}\times 1=\frac{-4}{3}\neq -1$

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.

Part B:

If vertex T translated by rule

$(x,y)\rightarrow(x-1,y-2)$

Then the coordinates of T' are

$(2,6)\rightarrow(2-1,6-2)$

$(2,6)\rightarrow(1,4)$

Slope of RT' is

$\text{Slope of RT'}=\frac{4-1}{1-(-3)}=\frac{3}{4}$

Product of slopes of GR and RT' is

$\frac{-4}{3}\times \frac{3}{4}=-1$

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.

6 0

3 years ago

The owner of a bike shop sells unicycles and bicycles and keeps inventory by counting seats and wheels. One day, she counts 15 s

poizon [28]

Im going to guess its either b or c.

7 0

3 years ago

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A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has an

lukranit [14]

ŷ= 1.795x +2.195 is the equation for the line of best fit for the data

<h3>How to use regression to find the equation for the line of best fit?</h3>

Consider the table in the image attached:

∑x = 29, ∑y = 74, ∑x²= 125, ∑xy = 288, n = 10 (number data points)

The linear regression equation is of the form:

ŷ = ax + b

where a and b are the slope and y-intercept respectively

a = ( n∑xy -(∑x)(∑y) ) / ( n∑x² - (∑x)² )

a = (10×288 - 29×74) / ( 10×125-29² )

= 2880-2146 / 1250-841

= 734/409

= 1.795

x' = ∑x/n

x' = 29/10 = 2.9

y' = ∑y/n

y' = 74/10 = 7.4

b = y' - ax'

b = 7.4 - 1.795×2.9

= 7.4 - 5.2055

= 2.195

ŷ = ax + b

ŷ= 1.795x +2.195

Therefore, the equation for the line of best fit for the data is ŷ= 1.795x +2.195

Learn more about regression equation on:

brainly.com/question/29394257

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3 0

1 year ago

Which function has a graph that intersects the y-axis at 3?

igomit [66]

Answer:

Ummmmm any graph can

Step-by-step explanation:

You did not list any options, please list options or add a pic then i will edit my answer

5 0

4 years ago

What's the square root of 3 to the second power

jeka94

Answer:

*if you ever need to do more math like this, I suggest using desmos :)

7 0

3 years ago

Read 2 more answers