Carmen opened a bank account with

Vanyuwa [196]

All of them.
This is what they will turn out to be
A will end up being 2xy
B will end up being 9x^2
C will end up being 3y
D will end up being 9x^2y^4

8 0

3 years ago

Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.

Gelneren [198K]

Answer:

(A)Segment EF, segment FG, segment GH, and segment EH are congruent

Step-by-step explanation:

Step 1

Quadrilateral EFGH with points E(-2,3), F(1,6), G(4,3), H(1,0)

Step 2

Using the distance formula

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given E(-2,3), F(1,6)

$|EF|=\sqrt{(6-3)^2+(1-(-2))^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given F(1,6), G(4,3)

$|FG|=\sqrt{(3-6)^2+(4-1)^2}=\sqrt{3^2+3^2}=\sqrt{18}=3\sqrt{2}$

Given G(4,3), H(1,0)

$|GH|=\sqrt{(0-3)^2+(1-4)^2}=\sqrt{(-3)^2+(-3)^2}=\sqrt{18}=3\sqrt{2}$

Given E (−2, 3), H (1, 0)

$|EH|=\sqrt{(0-3)^2+(1-(-2))^2}=\sqrt{(-3)^2+(3)^2}=\sqrt{18}=3\sqrt{2}$

Step 3

Segment EF ,E (−2, 3), F (1, 6)

Slope of |EF|= $\frac{6-3}{1+2} =\frac{3}{3}=1$

Segment GH, G (4, 3), H (1, 0)

Slope of |GH| $= \frac{0-3}{1-4} =\frac{-3}{-3}=1$

Step 4

Segment EH, E(−2, 3), H (1, 0)

Slope of |EH| $= \frac{0-3}{1+2} =\frac{-3}{3}=-1$

Segment FG, F (1, 6,) G (4, 3)

Slope of |EH| $=\frac{3-6}{4-1} =\frac{-3}{3}=-1$

Step 5

Segment EF and segment GH are perpendicular to segment FG.

The slope of segment EF and segment GH is 1. The slope of segment FG is −1.

Step 6

Segment EF, segment FG, segment GH, and segment EH are congruent.

The slope of segment FG and segment EH is −1. The slope of segment GH is 1.

Step 7

All sides are congruent, opposite sides are parallel, and adjacent sides are perpendicular. Quadrilateral EFGH is a square

4 0

3 years ago

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A distribution is positively skewed if which of these statements is true about the density curve that represents it?

UkoKoshka [18]

The right tail is longer than the left.

8 0

3 years ago

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the cafeteria staff made sandwich each sandwich had either rye or white bread either ham or turkey and either cheese or no chees

nata0808 [166]

The complete question is

"The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich.

The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich.

What are the chances that Mary will get a sandwich with cheese?"

The chances of Mary getting a sandwich with cheese is 1/2.

<h3>How to calculate the number of different ways?</h3>

The number of different sandwiches is calculated by multiplying all of the possibilities for each material being used.

rye or white bread: 2 options

ham or turkey: 2 options

cheese or no cheese: 2 options

So the number of different sandwiches = 2*2*2 = 8.

4 have cheese and 4 have no cheese, as the staff made an equal number of each type of sandwich.

So, The chances of Mary getting a sandwich with cheese is 4/8 = 1/2.

Learn more about possibilities ;

brainly.com/question/15577149

#SPJ1

3 0

2 years ago

Find the root of 6x-48=0

Kisachek [45]

X=-8 final answer. hope that helps

3 0

3 years ago

Read 2 more answers