1.) If ABCD is a parallelogram, which statement is true?
(1) AC = BD
(2) AD=BC
(3) ZA and ZC are supplementary
(4) ZA ZD

Answer:

836

Step-by-step explanation:

4 times 19 times 11

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

              b) How much money was in the account after 4 years?

              c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

a)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(1)]

             = 500 [ 1 + 0.04] = 520

⇒Amount = $520

b)

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(4)]

             = 500 [ 1 + 0.16] = 580

⇒Amount = $580

c)

In 2nd year,

Amount =  P [ 1 + RT ]

             = 500 [ 1 + 0.04(2)]

             = 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount  is same each year

Required picture attached below :

Answer:

2 1/4 inches

Step-by-step explanation:

From the line plot Given ;

The frequency or number of 3/4 inch button is 3

Therefore, lining up all the 3/4 inch button in the plot, we have :

3/4 + 3/4 + 3/4

(3 + 3 + 3) /4

9 /4

2 1/4 inch

Answer:

4x-2y=2

Step-by-step explanation:

Line R is represented by the following equation:

x+y=2

We need to choose another system of equation of x+y=2

whose solution is (1,1)

The equation must be satisfy the point (1,1)

Option 1: 2x+y = 2

Put x=1 and y=1

2(1)+1 = 3

3 ≠ 2

False

Option 2: 4x-2y=2

Put x=1 and y=1

4(1) - 2(1) = 2

2 = 2

True

Option 3: 2x-2y=2

Put x=1 and y=1

2(1) - 2(1) = 0

0 ≠ 2

False

Option 4: x+y=4

Put x=1 and y=1

1+1 = 2

2 ≠ 4

False

Hence, The system of equation is 4x-2y=2

Answer:

It will take 5 hours and 5 minutes to fill the tank

Step-by-step explanation:

Here, we want to get the time taken to fill the tap

Let us have the rate per hour

A fills in 6 hours; so the fraction filled in an hour is 1/6

B fills in 8 hours, so the fraction filled in an hour is 1/8

C empties in 10 hours, so the fraction removed per hour is 1/10

So factoring the supply and removal, where removal is on a negative basis

we have it that in an hour, the fraction retained is;

1/6 + 1/8 - 1/10

= (20 + 15 - 12)/120

= 23/120

So this is the fraction retained per hour

The number of hours it will take to have a whole is simply the reciprocal of this fraction

That would simply be 120/23 = 5 5/23

5 hours and 5 minutes

Answer:

AB(12, -8)?

Step-by-step explanation:

I think that's it but I haven't done something like this in a hot minute. If it's wrong I'm sorry

Answer:

4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Hey, do you want to roleplay

Step-by-step explanation:

I can't solve, sorry.

Answer:

x= 1 ±√21/3

x= 2.52753

x= - 0.527525

Step-by-step explanation:

-(-6) ±√-6² - 4 (3) (-4) / 2(3)

6±√36 -(-48) / 6

6±√84/6

6±2√21/6

6/6 ±2√21/6

1±√21/3

1+ √21/3 = 2.52753

1-√21/3= - 0.527525

Step-by-step explanation:

[tex]3x ^{2} - 6x - 4 = 0[/tex]

[tex]by \: quadratic \: formula[/tex]

[tex](-b±√(b²-4ac))/(2a) [/tex]

[tex] - ( - 6)±√( - 6²-4(3)( - 4) /(2 \times 3) [/tex]

[tex](6±√(36 + 48)/(6) [/tex]

[tex](6±√(84)/(6) [/tex]

[tex](6±2√21)/6[/tex]

[tex]2(3±√21)/6 [/tex]

[tex]3±√21/3[/tex]

[tex]let \: \alpha \: and \: \beta \: be \: two \: roots \: .[/tex]

[tex]3 + \sqrt{21} /3[/tex]

[tex]3 + 4.58/3[/tex]

[tex]7.48/3[/tex]

[tex]2.52[/tex]

[tex]and \: second \: root \: = 3 - \sqrt{21} /3[/tex]

[tex]3 - 4.58/3[/tex]

[tex] - 1.58/3[/tex]

[tex] - 0.52[/tex]

[tex]so \ \: alpha = 2.52 \: and \: \beta = - 0.52[/tex]

Answer:

Lateral surface area = 280 square inches

Step-by-step explanation:

Lateral surface area of a prism = (Perimeter of the base) × height of the prism

Perimeter of the base = 8 + 15 + 17

                                     = 40"

Height of the prism = 7"

Therefore, Lateral surface area of the prism = 40 × 7

                                                                         = 280 square inches

Answer:

I cannot see the x values so I cannot help with part D, but part C is y=3.50x+9.50

Step-by-step explanation:

the question states there is a fee of 9.50 for shipping costs, which is constant. this means it will be the y intercept in addition, since each shirt costs 3.50 each, the equation is y=3.50x+9.50

3/10 , 3/8 , 2/5

that's all

Answer:

x=2

Step-by-step explanation:

given 9x-12=3x we want to solve for x

To do so we need to isolate the variable using inverse operations

to get rid of the 9x we subtract each side by 9x

9x - 9x  cancels out

3x - 9x =-6x

now we have

-12=-6x

now we want to get rid of the -6

to do so we divide each side by -6

-6x/-6=x

-12/-6=2

we're left with x=2

Answer:

9x=3x+12

9x-3x=12

9x-3x=12

6x=12

x=2

solution

x=2

Answer:

What?

Step-by-step explanation:

Answer:

A.The value of a car depreciating 6% each year.

Step-by-step explanation:

According to definitions.net "The exponential function is used to model a relationship in which a constant change in the independent variable gives the same proportional change in the dependent variable."

Given that the car depereciate by 6% each year, I can write;

Let the initial value of the car be P

Let the value of the car at time t be Y

Let the number of years be t

This is a case of exponential decay so;

Y = P( 1 - 6/100)^t

Answer:

[tex](x +9)(x+2)[/tex]

Step-by-step explanation:

Given the problem,

[tex]x^2 + 11x + 18[/tex]

Factor the problem. Find factors of (18) such that when added the result is (11).

[tex](x +9)(x+2)[/tex]

Test by distributing, multiply each term in one parenthesis by every term in the other parenthesis,

[tex](x+9)(x+2)\\\\x^2 + 2x + 9x + 18\\\\x^2 + 11x + 18[/tex]

Answer:

(x+9)(x+2) is your answer

Step-by-step explanation:

x2+ 11x+ 18

x²+9x+2x+18

x(x+9)+2(x+9)

(x+9)(x+2)

Answer:

1,260

Step-by-step explanation:

6x3=18 7000÷18=1,260

Answer:

18% or 1260$

Step-by-step explanation:

first u find 6% of 7000 then you multiply it by 3 for those three years .

Answer:

390.7ft³ is the answer

Answer:

The answer is 10,5

Step-by-step explanation:

can i have brainliest please

Answer: 154.08$

Step-by-step explanation:

Answer:

add'em all up

Step-by-step explanation:

Answer:

16.40

Step-by-step explanation:

use Pythagorean theorem

Answer:

18

Step-by-step explanation:

Answer:

the answer is 180 students.

Step-by-step explanation:

I got this by subtracting 15 by 100 and got 75. This means 75% chose purple. Then you take 75% of 240 and that's your answer

Answer:

204

Step-by-step explanation:

ok

Answer:

y = 0.01 * 2ˣ

Step-by-step explanation:

f(x) = xⁿ

0: 0.01 = 0.01 * 2⁰ = 0.01 * 1 = 0.01

1: 0.02 = 0.01 * 2¹ = 0.01 * 2¹ = 0.02

2: 0.04 = 0.01 * 2² = 0.01 * 2² = 0.04

Answer:

The two numbers are 9 and 11

Answer:

the answer would be 18.28

Step-by-step explanation:

if you times 0.914 x 20

which would make 20 yards

because 0.914 is only 1 yard