Which of the following is the correct graph of the solution to the inequality -18 > -5x + 2 ≥ -48?

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.

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Answer:

3/32

Step-by-step explanation:

prob greater than 5

that would be 6,7 or 8

p = 3/8

prob purple

p = 1/4

Prob of both

p = 3/8 * 1/4

p = 3/32

Answer: It would be 170

Step-by-step explanation:

5 x 10 + 5 x 10 + 5 x 10 = 150 but since it is park of the rectangle and not the triangle you don't multiply by 1/2 but the triangle part  4 x 5 you do 4 x 5 x 1/2 with is ten then you do it for the other side 4 x 5 x 1/2 equals ten. So 150 + 10 + 10=170

Answer:

Solutions given:

opposite side [0pp]=x

hypotenuse [Hypo]=7

angle A=36°

Now

relationship between opposite side and hypotenuse is given by Sin angle

Sin A=[tex] \frac{oppo}{hypo} [/tex]

Sin 36=[tex] \frac{x}{7} [/tex]

x=Sin36*7

x=4.11

So second one x=4.1 is your answer

Answer:

75

Step-by-step explanation:

100-25=75

Answer:

75

Step-by-step explanation:

Subtract the smallest value from the largest value so 100 - 25 = 75

Answer:

c. 4

Step-by-step explanation:

f ( -2) means x = -2

so just replace x with -2

Answer:

C Base x Height ÷ 2. 300 ÷ 2 = 150. 150 ÷ 12 .5 is 12.

Answer:

Step-by-step explanation:

Answer:

19a - 12b

Step-by-step explanation:

2(2a - b) + 5(3a - 2b)

4a - 2b + 15a - 10b

19a - 2b - 10b

19a - 12b

Answer:

The median of the data is 3.5

Answer: 2

Step-by-step explanation:

We don't know what is the Y.

Then, 4 + 2y < 18 is:

6y < 18

If y=2, it'll make this equation true.

6*2 < 18

12 < 18.

So, Y=2

Answer:

Step-by-step explanation:

Answer:

median: 4

Step-by-step explanation:

Answer:

(-5,-5)

Step-by-step explanation:

Connect The points H and F so it forms a right angle

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

G = (-5,-5)

Step-by-step explanation:

d = sqrt (x^2 - x^1)^2 + (y^2 - y^1)^2

Let's use the coordinate pairs: (6,4) and (6,-5).

Input.

d = sqrt (6 - 6)^2 + (-5 - 4)^2

Solve.

d = sqrt 0 + (-9)^2

d = sqrt 0 + 81

d = sqrt 81

d = 9

Count 9 places back from (6, -5) , then you will arrive at (-5,-5).

Thus, the fourth vertex of the rectangle "EFGH" is (-5,-5) for G.

Answer:

C and D

Step-by-step explanation:

Both have a 2/3 chance of success, and are completed 7 times :)

let me know if you need more explanation

Options (C) and (D) are same as Diego predictions.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Diego predicts that his basketball team has two third probability of winning each of their next seven games.

The probability of winning = [tex]\frac{2}{3}[/tex]

We need to choose from the option, which has the same probability as above.

Option A:

Put the number 0 through 7 in a bag pick a number from the back.

Here, the probability = [tex]\frac{1}{8}[/tex] and the process is done for one time only.

So, this option is not same as above.

Option B:

Will a standard number cube 7 times count the number of twos.

Here, the probability = [tex]\frac{1}{6}[/tex]

So, the option is not same as above.

Option C:

Roll a standard number cube 7 times count how many of ones to threes and fours.

Here, the probability = [tex]\frac{4}{6}[/tex]

⇒ [tex]\frac{2}{3}[/tex]

So the option is same as above.

Option D:

Marcus spinner with 12 equally sized sections right when on four of the sections spin the spinner seven times and count the number of times it ends on the win.

Here, the probability = [tex]\frac{8}{12}[/tex]

⇒ [tex]\frac{2}{3}[/tex]

So the option is same as above.

Option E:

Put 10 white chips and fiber chips in a bag draw a chip from the bag record its results and put it back in the bag do the seven times and count the total number of white chips drawn.

Here, number of fiber chips is not given.

So, we could not predict the probability for this option.

Hence we can conclude that options (C) and (D) are same as Diego predictions.

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Answer:

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.

Step-by-step explanation:

Using the Pythagorean Theorem, ([tex]a^2+b^2=c^2[/tex] ) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.

Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:

[tex]6^2+9^2=c^2[/tex]

[tex]36+81=c^2[/tex]

[tex]117=c^2[/tex]

Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.

[tex]\sqrt{117} =10.8[/tex]

[tex]10.8=c[/tex]

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.

Answer:

im gonna guess its 30 but not 100% sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rest are incorrect.

answer:

0

step by step explanation:

Answer:

51

Step-by-step explanation:

3.6=6333.34

Divide that by 125 and you have

50.6 but round up to 51

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:

AGIB

Step-by-step explanation:

I solved it eh.

Pretty simple honestly.

But school ends!

Each side and each area were calculated using the Pythagoras theorem.

The Pythagoras theorem states that, in a right triangle, the sum of squares of shorter sides is equal to the square of the hypotenuse.

So, using the Pythagoras theorem

[tex]TU^2=175^2-79^2[/tex]

[tex]TU^2=24384[/tex]

[tex]TU=156.15[/tex]

So, the corresponding area of the rectangle = 156.15*79 =12335.85 square units.

Similarly, [tex]GH = \sqrt{207^{2}-98^2 }[/tex]

[tex]GH=182.33[/tex]

So, the corresponding area of the triangle = 0.5*182.33*98 = 8934.27 square units.

Thus, each side and each area were calculated using the Pythagoras theorem.

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Answer:

A. (5, 10), (-8, 2), (-1, 8), (-5, 10)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the side x is 15

bottom right angle is 31.61 degrees

other angle is 58.39 degrees

Answer:

Step-by-step explanation:

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer: 24.67 or D

Step-by-step explanation:

i just took the quiz, goodluck <33

Answer:

correct answer is the last one is true i think so

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