Someone please help me with this!!!!!!!!!!!!!!

By satisfying all the four criteria, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

Based on vectorial expressions, an isosceles trapezoid satisfies the following properties:

(i) [tex]\overrightarrow{CD} = k \cdot \overrightarrow{AB}[/tex], for k ∈ [tex]\mathbb{R}[/tex]    

(ii) AB ≠ CD    

(iii) [tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]  

(iv) AC = BD

Now we proceed to prove each property:

Requisite I

(3 - (-3), 4 - 4) = (6, 0)

(5 - (-5), 0 - 0) = (10, 0)

(6, 0) = (5/3) · (10, 0)

Requisite II

AB = 6, CD = 10

AB ≠ CD

Requisite III

[tex]\overrightarrow{AC} = (2, 4)[/tex]

[tex]\overrightarrow{BD} = (-2, 4)[/tex]

[tex]\overrightarrow{AC} \neq \overrightarrow {BD}[/tex]

Requisite IV

[tex]AC = \sqrt{[-3-(-5)]^{2}+(4-0)^{2}}[/tex]

[tex]AC = \sqrt{2^{2}+4^{2}}[/tex]

[tex]AC = 2\sqrt{5}[/tex]

[tex]BD = \sqrt{(3-5)^{2}+(4-0)^{2}}[/tex]

[tex]BD = \sqrt{(-2)^{2}+4^{2}}[/tex]

[tex]BD = 2\sqrt{5}[/tex]

AC = BD

The figure with the entire quadrilateral is shown below. Therefore, the quadrilateral with the vertices A(x, y) = (-5, 0), B(x, y) = (5, 0), C(x, y) = (-3, 4) and D(x, y) = (3, 4) is an isosceles trapezoid.

To learn more on quadrilaterals: https://brainly.com/question/25240753

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answer:

0

step by step explanation:

Answer: 9 hours

Step-by-step explanation:

Answer: 24.67 or D

Step-by-step explanation:

i just took the quiz, goodluck <33

Answer:

Step-by-step explanation:

The rest are incorrect.

Answer:

the range is 53 :)

Step-by-step explanation:

Answer:

238 degrees

Step-by-step explanation:

Whole circle measures 360 degrees.

Subtract 122 degrees from the whole circle to get 238 degrees.

Answer:

63.5, 66.5

Step-by-step explanation:

Approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.7% of the data lies within three standard deviations of the mean.

Since we want to find the interval that represents the middle 68% of Camden's finishing times, we need to find the range of times that are one standard deviation above and below the mean.

The mean of Camden's finishing times is 65 seconds, and the standard deviation is 1.5 seconds, so the interval that represents the middle 68% of his finishing times is:

[65 - 1.5, 65 + 1.5] = [63.5, 66.5] seconds

This means that approximately 68% of Camden's finishing times fall within the interval from 63.5 seconds to 66.5 seconds.

Learn more about the empirical rules here:

brainly.com/question/27914019

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Answer:

It is skewed right

Step-by-step explanation:

Answer: looks pretty bell shaped to me

Step-by-step explanation:

Answer:

Step 1: Identify the values for b and c. In this example, b=6 and c=8.

Step 2: Find two numbers that ADD to b and MULTIPLY to c. This step can take a little bit of trial-and-error. ...

Step 3: Use the numbers you picked to write out the factors and check

Step-by-step explanation:

thank me later

Answer:

A

Step-by-step explanation:

I took the test

Answer: it’s 24

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

Answer:

24

Step-by-step explanation:

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

x - y = -2

2x + y = 5

First, add y on both sides for the first equation.

x = y - 2

Then, plug in x into the second equation.

2(y -2) + y = 5

2y - 4 + y = 5

3y = 9

y = 3.

Next, now that you've found y, plug it into either the first or second equation to solve for x. I'll be using the second equation.

2x + 3 = 5

2x = 2

x = 1.

Ans: x = 1, y = 3

Answer:

Step-by-step explanation:

132 degrees

Answer:

A. 3 stores

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

There are 3 stores farther than 3.5 miles

Answer:

104 in

Step-by-step explanation:

Answer:

take 45 degree as reference angle

using sine rule

sin45=p/h

1/[tex]\sqrt{2}[/tex]=[tex]\sqrt{5}[/tex]/m(do cross multiplication)

[tex]\sqrt{2}[/tex]*[tex]\sqrt{5}[/tex]=m

[tex]\sqrt{10}[/tex]=m

Step-by-step explanation:

Answer:

9/14

Step-by-step explanation:

81/126=9x9/9x14=9/14

Answer:

9/14

Step-by-step explanation:

I divided both the numerator and denominator by 9 and 9/14 is the "most simplified" it can go to, unless I'm incorrect. Hope this helped ^-^

Answer:

400.7 cm^3

Step-by-step explanation:

Answer:

n < 7

Step-by-step explanation:

Solve the bracket first (9-18n)

add the n together (-15n)

add the 9 and the -96 together (-105)

Divide 105 and 15n (7)

n < 7

Have a good day :)

Answer:

It's 15.70796. Won't go in-depth since time seems to be of the essence

Step-by-step explanation:

Won't go in-depth since time seems to be of the essence

Answer:

roots are [(5 - [tex]\sqrt{73}[/tex]) / 4] and [(5 + [tex]\sqrt{73}[/tex]) / 4]

Step-by-step explanation:

[-b ± √b² - (4ac)] ÷2a

2x² - 5x - 6 = 0

a = 2

b = -5

c = -6

[5 ± √5² - 4(2)(-6)] ÷ 2(2)

[5 ± √25 - (-48)] ÷ 4

[5 ± √73] ÷ 4

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

Answer:

40.73

not 100% sure but by comparing to the other answers, its the most logical

Answer:

$40.00

Step-by-step explanation:

Find 1% of 50

50 / 100 = 0.5

Multiply that value by 5

0.5 * 5 = 2.5

Multiply the new value by 4

2.5 * 4 = 10

Subtract

50 - 10 = 40

Answer:

y = 3/2x - 8

Step-by-step explanation:

y = 3/2x + b

4 = 3/2(8) + b

4 = 12 + b

-8 = b

Answer:

Explain more i cant understand

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3(x-4)=5         use distributive property

3x-12=5         add 12 to both sides

3x=17             isolate x by dividing both sides by 3

x=5.66 repeating or 5 2/3

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3(x- 4) = 5}[/tex]

[tex]\large\textsf{DISTRIBUTE 3 within your parentheses}[/tex]

[tex]\mathsf{3(x) + 3(-4) = 5}[/tex]

[tex]\mathsf{3(x) = \bf 3x}[/tex]

[tex]\mathsf{3(-4)=\bf -12}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x - 12 = 5}}[/tex]

[tex]\mathsf{3x - 12 = 5}[/tex]

[tex]\large\textsf{ADD 12 to BOTH SIDES}[/tex]

[tex]\mathsf{3x - 12 + 12 = 5+12}[/tex]

[tex]\large\text{CANCEL out: \textsf{-12 + 12} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{5 + 12} because it helps solve for the \textsf{x value}}[/tex]

[tex]\mathsf{5+12=\bf 17}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{3x = 17}}[/tex]

[tex]\mathsf{3x = 17}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{17}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you the value of \textsf{1}}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{17}{3}}\large\text{ because it gives you the \textsf{x value}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{x = \bf \dfrac{17}{3}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

<5 and <7= 56 degrees

Step-by-step explanation:

for <5: 180-124=56

<7 is equal to <5

Brainliest Plz?