9. Select all the statements that must be true.

Parallelograms have four congruent sides

Both sets of opposite sides of a parallelogram are parallel and congruent

A trapezoid is a parallelogram

Diagonals of a parallelogram bisect each other

Diagonals of a parallelogram are congruent​

Answer:

24179 square inches

Step-by-step explanation:

In ΔRST, r = 620 inches, s = 840 inches and t=230 inches. Find the area of ΔRST to the nearest square inch.

We use the formula

Heron's formula = √s(s - a)(s - b)(s - c)

Where s = a + b + c/2

Solving for s

s = 620 + 840 + 230/2

s = 845

Solving for the area of the triangle

= √845 × (845 - 620) × (845 - 840) × (845 - 230)

= √584634375

= 24,179.213696893 square inches

Approximately = 24179 square inches

Answer:

23

Step-by-step explanation:

20,22,24,26

(22+24)/2 = 23

Hope this helps my bad if its wrong

The middle value of the data set in the table given, which is the median, is: 22.

The middle value of an ordered data set is the median of the data, which is also called the center of the data set.

Given the table, the middle value is the 5th data point, which lies at 22.

Therefore, the median of the data in the table is: 22.

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Answer:

y = - [tex]\frac{4}{5}[/tex] x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 12) and (x₂, y₂ ) = (10, 4)

m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L

Parallel lines have equal slopes , then

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, - 11) into the partial equation

- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7

y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line

The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The straight line L passes through the points (0 , 12) and (10 , 4).

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

Now,

Since, The straight line L passes through the points (0 , 12) and (10 , 4).

So, Equation of line L is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 12 = (4 - 12) / (10 - 0)  (x - 0)

⇒ y - 12 = - 8 / 10x

⇒ 10 (y - 12) = - 8x

⇒ 10y - 120 = - 8x

⇒ 10y = - 8x + 120

⇒ y = - 8/10x + 12

⇒ y = - 4/5x + 12

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = -4/5x + 12

m = dy/dx = - 4/5

m = - 4/5

Thus, The equation of line with slope 1- 4/5 is,

⇒ y - (-11) = - 4/5 (x - 5)

⇒ y + 11 = - 4/5 (x - 5)

⇒ 5 (y + 11) = - 4x + 20

⇒ 5y + 55 = - 4x + 20

⇒ 5y = - 4x + 20 - 55

⇒ 5y = - 4x - 35

⇒ y = - 4/5x - 7

Thus, The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

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Answer:

5: independent, 6:independent, 7:independent, 8:dependent, 9:dependent

Step-by-step explanation:

5 is independent because the first roll of the die does nothing to affect the second.

6 is independent because the first flip of the coin does nothing to affect the second

7 is independent because the first draw from the bag does nothing to impact the second, if they didn't place a marble back then it would become dependent.

8 is dependent because by keeping the first marble you change the odds for the second draw. The second draw depends on the first.

9 is dependent because there is a set amount of names placed into this raffle. Say to start you have 12. That means you have a 1/12 chance of being chosen. Once your name is drawn it goes up to a 1/11 chance. The first action directly impacts the second making it dependent.

Answer:no clue

Step-by-step explanation:

i need the points im sorry

Answer:

x ≈ 2.3

Step-by-step explanation:

Given

x³ = 12 ( take the cube root of both sides )

x = [tex]\sqrt[3]{12}[/tex] ≈ 2.3 ( to 1 dec. place )

Answer:

The answer is D

Step-by-step explanation:

If you look at image you can see that is is on both lines but you always start on the origin (the middle) and go left or right to get your first number. which is 6 next you'll start at the origin and go up and down, once you stop at where you're positive the dot is place the two numbers together and you got your answer (6,-4)

Answer:

C. Move 3 units to the right and 5 units up, and draw a dot at that point.

Step-by-step explanation:

My YT is YoungGodlyFN is this helped!

Answer:

27

Step-by-step explanation:

1. Using PEMDAS, you would start with all numbers inside the parentheses

2. Next inside the parentheses are exponents

3² = 3*3 = 9

2³ = 2*2*2 = 4*2 = 8

2² = 2*2 = 4

3. Go back inside the parenthese now that everything is multiplied out

[tex]\frac{9 *(8+4) }{4}[/tex] = 9* ( 12)/4 = 108/4

4. Simplify the fraction by dividing 108 by 4

108 ÷ 4 = 27

Answer:

10.5 units²

Step-by-step explanation:

Area of trapezoid = ½(a + b)h

where,

a = SK = 2 units

b = OC = 5 units

h = SO = 3 units

Plug in the values

Area = ½(2 + 5)*3

Area = ½(7)*3

Area = 10.5 units²

Answer:

13.67

Step-by-step explanation:

7x-15=58

7x= 73

x=10.42

Answer:

x = 8

Step-by-step explanation:

Given is an isosceles triangle.

Measures of two sides of an isosceles triangle are equal.

Therefore,

7x - 15 = 3x + 17

7x - 3x = 17 + 15

4x = 32

x = 32/4

x = 8

Answer: . -5=2x+11

Step-by-step explanation:

Answer:

x=-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-3)/(-1-(-1))

m=3/(-1+1)

m=3/0

slope is undefined.

x=-1

Answer:

2, 0.5 and 0.25.

Step-by-step explanation:

The nth term an = a1r^(n-1)  where a1 = first term and r = the common ratio.

The sum to infinity = a1/(1-r)  for  -1 < r < 1.

So we have:

Second term a2 = 1 = a1(r)(2-1) = a1r and

4 = a1/(1 - r)

From the first equation:

a1 =1/r

So substituting in the second equation:

4 = 1/ r / (1 - r)

4 = 1 / r - r^2

4r - 4r^2 = 1

4r^2 - 4r + 1 = 0

(2r - 1)(2r - 1) = 0

r = 0.5

So the first term  a1 = 1/ r =1/0.5 = 2.

The third = 1*0.5 = 0.5

and the 4th = 0.5*0.5 = 0.25.

Answer:

$4031.75

Step-by-step explanation:

Amt after 10 years = 3000(1 + 0.03)^10

= 4031.749

Answer:

0.45/1 = (0.45 × 100)/(1 × 100) = 45/100.

Step-by-step explanation:

Answer:

There are three pieces per bundle.

Answer:123456780-0987654321234567876543212345676543212

Step-by-step explanation:UGLY FAT Pig took 5000 kids in his basement and he ate them but they were fake kids and they were bombs and he heard the beep bep beep sound but instead of beep it was ugly fat pig and he die this is your only right answer

Answer:

Irrational means you have a never ending number such as 8.90919273788..... A rational number means it ends such as 36 or 5.113

Answer: [tex]28.3\ hr[/tex]

Step-by-step explanation:

Given

Charge of the site visit [tex]\$45[/tex]

Additional charge per hour is [tex]\$24\ \text{per hour}[/tex]

He eaned [tex]\$810[/tex]

Suppose he worked for x hours

[tex]\therefore 810=45+24x\\\text{On solving}[/tex]

[tex]\Rightarrow 765=24x\\\Rightarrow x=28.3\ hr[/tex]

Answer: D.  Parallelogram

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

rllly

Answer:

the radius of the balloon is 5 feet

Answer:

116

Step-by-step explanation:

it says in the description that 116 people in new york wear nike's

Answer:

The common multiple for 30 21 and 24 is 3

Step-by-step explanation:

30 = 3 × 10

21 = 3 × 7

24 = 3 × 8

Thus, 3 is the common multiple for 30 21 and 24.

-TheUnknownScientist

Answer:

G

Step-by-step explanation:

when x is inputed it will give only one answer.

Answer:

6/10 is the percentage form of 0.6

Answer:

0,6 to a percentage is 60%.

I hope this helps

Answer:

69420

Step-by-step explanation:

Answer:

QUESTION:

How do I shift the function a(x)=|x|+3 2 units to the right?

ANSWER:

Try Math___way I always go there for help when no one can help me here. Just type in your math question and you get instant answers and an explanation.

Step-by-step explanation:

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Answer:

TWO BUCKS?? ballin on a budget

anyways, if there are 16 guests, the party would cost $50. sounds a lot more correct lol