Find two consecutive odd integers whose sum is 84.

Prove that BUGS is a trapezoid with coordinates B(-2,-1), U(0,3), G(3,2) and S(4,-3).

telo118 [61]

Answer:

Proved

Step-by-step explanation:

Given

$B =(-2,-1)$

$U = (0,3)$

$G = (3,2)$

$S = (4,-3)$

Required

Prove BUGS is a trapezoid

Given the coordinates, to prove a trapezoid; all we need to do is to check if one pair of sides is parallel.

Taking BU and GS as a pair

First, we calculate the slope using:

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

For BU

$B =(-2,-1)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3 - -1}{0- -2}$

$m = \frac{4}{2}$

$m = 2$

For GS

$G = (3,2)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3-2}{4-3}$

$m = \frac{-5}{1}$

$m = -5$

The slope of BU and GS are not the same; hence, they are not parallel.

Taking BS and GU as a pair

Calculate the slope

For BS

$B =(-2,-1)$ --- $(x_1,y_1)$

$S = (4,-3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{-3 - -1}{4- -2}$

$m = \frac{-2}{6}$

$m = -\frac{1}{3}$

For GU

$G = (3,2)$ --- $(x_1,y_1)$

$U = (0,3)$ --- $(x_2,y_2)$

So, we have:

$m = \frac{3-2}{0-3}$

$m = \frac{1}{-3}$

$m = -\frac{1}{3}$

The slope of BS and GU are the same; hence, they are parallel.

BUGS is a trapezoid because BS and GU have the same slope

8 0

3 years ago

In the diagram below, what is the value of x? A. 3 B. 13 C. 177 D. 90

Elena-2011 [213]

The answer is A. 3° 87+90= 177+ 3= 180°

5 0

3 years ago

What is the area of a rectangle with two sides of length 1 and diagonal length 2?

gtnhenbr [62]

Other two sides = x

Then, x² + 1² = 2²

x² = 4 - 1
x = √3

Now, Area = Length * Width
A = 1 * √3
A = √3

In short, Your Answer would be: √3 or 1.73

Hope this helps!

7 0

3 years ago

Which statement correctly explains how Andre could find the solution to the following system of linear equations using eliminati

swat32

Answer:

The correct answer is B.

Step-by-step explanation:

Multiply the first equation by -7, and the second equation by 8, and then add.

What you're trying to do is cancel them out so they have to opposite signs in order for them to cancel out. You can't do that if the signs are the same, which is what option A suggests doing. B is the correct answer.

6 0

3 years ago

Read 2 more answers

HELPPPPPP ANYBODY KNOW????

Thepotemich [5.8K]

All the angles should add up to 360
So you know 1 is 110
But you also know 1 is 90 because of the square so you know half is equal to 200
So you are working with 160=360-200
So now you look at the number left and say what number can be doubled and still have enough left over to add 10.
So I guess 50 times 2 is 100
And 50 plus 10 is 60
So check does this add up to be 160?yes
So x is 50
Good luck
Brainliest would be appreciated

8 0

3 years ago