A parallelogram has vertices (5,0), (3, -3), (-4, -3) and (-2, 0) The
diagonals of the parallelogram intersect at their midpoints. A. What are the coordinates of the
intersection of their diagonals? Justify the answer algebraically.

Answer:

The ordered pair works for the first equation on the top, but not the second equation on the bottom.

Step-by-step explanation:

You have to plug in the x and y values into the equations:

x - 2y = -6

2 - 2(4) = -6  

That equation works.

...now for the next one...

3x + 2y = 12

3(2) + 2(4) = 12

That equation doesn't work.

Hope this helps!

Answer:

16 cm

Step-by-step explanation:

Whatever the positions of A and B changed, AC always = AD = 5 cm

and BC = BD = 3 cm

perimeter of ACBD = 2*5 + 2*3 = 16 cm

(

−

9

)

(

+

2

)

(

+

2

)

−

9

(

+

2

)

Answer:

x squared - 7x -18

Step-by-step explanation:

x * x = x^2

x * 2 = 2x

-9 * x = -9x

-9 * 2= -18

x^2-7x-18

Answer:

"k+12" IS greater than 20. If in this hypothetical question.

Step-by-step explanation:

Please brailiest me

Answer:

yes it is right decause:-

15+12=27 in which 27 is greater than 20

9514 1404 393

Answer:

  13.609°

Step-by-step explanation:

The csc^-1 function is the arccosecant function. It gives the angle whose cosecant is given. If we let A represent that angle, your statement is ...

  A = csc^-1(4.25)

It is used to solve the relation ...

  4.25 = csc(A)

__

Some calculators can give you the value directly (see attached). Most cannot. In any event, you need to make sure the angle mode for the calculator is set to degrees.

When your calculator does not have the csc^-1 function, you can make use of the trig identity ...

  csc(x) = 1/sin(x)

In the above equation, this becomes ...

  4.25 = 1/sin(A)

  sin(A) = 1/4.25 . . . . . solve for sin(A)

All scientific and graphing calculators will have the inverse sine (arcsine) function.

  A = sin^-1(1/4.25)

  A ≈ 13.609° . . . . . . . calculator mode in Degrees

_____

Additional comment

For inverse functions, especially inverse trig functions, I find it useful to read them as ...

  csc^-1(x)   ⇒   "the angle whose cosecant is x"

  sin^-1(x)   ⇒   "the angle whose sine is x"

This reminds me that the value it gives is an angle (degrees or radians), and the argument it takes is a pure number (one with no units).

Answer:

x = 3

Step-by-step explanation:

arc KP = 50 degrees

arc KRQ = 2(110) = 220 degrees

arc 30x = 360 - 220 - 50 = 90 degrees

30x = 90

x = 3

Answer:

Ok

Step-by-step explanation:

What do you want us to figure out? Did you forget the picture?

Step-by-step explanation:

(5-\/5)²

25-10\/5+5

30-10\/5

Here, a=30 and b=-10

Answer:

Jerome got 5 quarters, 1 dime and, and 3 nickels.

Step-by-step explanation:

Let's define the variables:

N = number of nickels he got

D = number of dimes he got

Q = number of quarters he got

We know that the nickels were worth $0.15

And each nickel is whort $0.05

Then:

N*$0.05 = $0.15

N = $0.15/$0.05 = 3

N = 3

Now we also know that there is a total of 9 coins, then:

N + D + Q = 9

3 + D + Q = 9

D + Q = 9 - 3 = 6

D + Q = 6

And we also know that the total change received is $1.50, then:

D*$0.10 + Q*$0.25 + N*$0.05 = $1.50

We know that N = 3, then we can replace that and get:

D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50

D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35

D*$0.10 + Q*$0.25 = $1.35

Then we have two equations:

D + Q = 6

D*$0.10 + Q*$0.25 = $1.35

To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:

D = 6 - Q

Now we can replace this in the other equation:

(6 - Q)*$0.10 + Q*$0.25 = $1.35

Now we need to solve this for Q.

$0.60 - Q*$0.10 + Q*$0.25 = $1.35

Q*$0.15 = $1.35 - $0.60 = $0.75

Q = ($0.75)/($0.15) = 5

Q = 5

Then Jerome has 5 quarters.

Now we can return to the equation:

N + Q + D = 9

We already know that:

N = 3

Q = 5

Then if we replace those in the equation, we get:

3 + 5 + D = 9

8 + D = 9

D = 9 - 8 = 1

D = 1

Answer:

Step-by-step explanation:

radius = 17 inches

π = 3.14

circumference = 2×π×radius

= 2×3.14×17

= 6.28 × 17

= 106.76

Answer:

y=3/2x+2.5

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

We start off with 90 degrees

2x + x = 90

Add all like terms

3x = 90

Divide 3 on both sides

[tex]\frac{3x} {3} = \frac{90} {3}[/tex]

x = 30

To check your answer:

Let x be 30

2x + x = 90

2 (x 30) + 30 = 90

60 + 30 = 90

90 = 90

Answer:

the answer is D (4,-8)

Step-by-step explanation:

Its 4,-8

Answer:

All numbers greater than 40;

Infinite

Step-by-step explanation:

Given the inequality :

h > 40

The solution to the inequality is any number, h which makes the inequality expression true.

Hence, it includes all numbers, h greater than 40 ; beacuase every number greater than 40 represents a true inequality statement.

The number of solutions to the inequality is infinite because the number of solution is not confined to a certain specify. Range.

Answer

It's A and C  

Step-by-step explanation:

I just finished my test

Answer:

l = 4w + 3

Step-by-step explanation:

Answer:

£5

Step-by-step explanation:

5 boxes will cose 5 x 15.40 = 77 normally.

according to the table, he will get 6.5% discount.

6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5

Answer:

he orders 5 boxes of paperclips, that comes around to 77 dollars. That means he will get a 6.5 percent discount. So you would multiply 77 by .065 and you would get 5.005. You would take that number and subtract it by 77 and would get 71.995 and you can round that up to 72 dollars. My guess is that either 72 or 5.005 is the answer as 72 dollars is the price after the discount and 5.005 is how much he is saving

Step-by-step explanation:

Answer:

n = -20

Step-by-step explanation:

-7 + [tex]\frac{n}{5}[/tex] = -11

*multiply both sides by 5*

-35 + n = -55

*add 35 to each side*

n = -55 + 35

*calculate the sum*

n = -20

Answer:

3,)ft

Step-by-step explanationpads: 1 7(.9t

Answer:

a. 45 + 20x

   30 + 26x

b. 2.5 hours

c. 95

Step-by-step explanation:

45 + 20x = 30 + 26x

subtract 30 from both sides of the equation

15 + 20x = 26x

subtract 20x from both sides of the equation

15 = 6x

divide 6x on both sides of the equation

2.5 = x

Answer: Annual Income Is $192000

Step-by-step explanation:

firstly know one month income we divide by 48000 by 3

= 16000

we know one month income 16000

than we for know annual income we multiply by 12

16000×12 =192000

annual income is $192000

Answer:

25 years

Step-by-step explanation:

Given data

Principal P=  $2000

Interest rate r=  6%

FInal amount A=$5,000

The simple interest formula is given as

A=P(1+rt)

substitute and solve for t

5000=2000(1+0.06*t)

5000=2000+120t

5000-2000=120t

3000=120t

t= 3000/120

t= 25 years

Hence, for a simple interest investment, she will be 25 years

Answer:

?

Step-by-step explanation:

Answer:

yes and no

Step-by-step explanation:

l

Answer:

Your friend completes 1 level in 9 hours

Answer: 1 level in 9 hours 45/5 is 9 so it takes 9 hours to finish a level that means he can only do one level in 9 hours

Step-by-step explanation:

Answer:

i don’t know

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

because i got it right

Answer:

.

Step-by-step explanation:

.