The lengths of the sides of a quadrilateral are 4 consecutive even integers.



The perimeter of the quadrilateral is 20 inches.



What is the length of the longest side?

Answers

Answer 1

Answer: 8 inches

Step-by-step explanation:

A quadrilateral is a shape with four sides. Since the lengths of the sides of the quadrilateral are 4 consecutive even integers, let them be represented by a, a+2, a+4 and a+6.

We then equate the side to the perimeter. This will be:

a + a+2 + a+4 + a+6 = 20

4a + 12 = 20

4a = 20 - 12

4a = 8

a = 8/4

a = 2 inches

The length of the longest side will be:

= a + 6

= 2 + 6

= 8 inches


Related Questions

Solve for Y
2x+ y/3 = 4
a. y = 6x + 12
b.y = -6x + 12
C. y = (x - 12
d. y = -6x - 12

Answers

Answer:

y=−6x+12

so A

Step-by-step explanation:

Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it? *

Answers

Answer:

Step-by-step explanation:

Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;

1, 2, 4...

The nth term of an arithmetic sequence is expresses as;

[tex]T_n = ar^{n-1}[/tex] where;

a is the first term

r is the common ratio

n is the number of terms

To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).

from the sequence above;

a = 1

r = 2/1 = 4/2 = 2

T4 = 1(2)^{4-1}

T4 = 2^3

T4 = 8

Hence the hydra will have 8 heads on the third day.

To know the number of heads at the end of 10 days, we will find the 11th term of the progression

T11 = 1(2)^{11-1}

T4 = 2^10

T4 = 1024

He will have 1024 heads after 10 days of trying to kill the monster.

The number of heads that would the Hydra have on the third day is 8

And, at the end of 10 days of trying to kill it is 1024.

The calculation is as follows:

a = 1

r = 2 by 1 = 2  

T4

= 8

So the hydra will have 8 heads on the third day.

Now  

To know the number of heads at the end of 10 days, we will determine the 11th term of the progression

= 1024

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3 2/3 x 4 1/8 x 2 1/2

Answers

Answer:

=2/3^x62

Step-by-step explanation:

32/3^x41/8x21/2

If 6 candy bars cost a total of $12, then $2 is the ___________ of the candy bars. *

Answers

$2 can get you one candy bar. So if you want 6 it would cost $12

ok there’s the science slides , and i think they are quite easy i just need some help bc im lazy . ik this is the math thing but

Answers

Answer:

just look up the answers on google

Step-by-step explanation:

Pls help me ASAP!!!!!

Answers

Answer:

2 4/5

Step-by-step explanation:

You first see how many times the bottom number can fit in the top number. The number 5 can go in 14 two times. It can't go in three because then it would be over 14. So you take that "2" and that is your hole number and you are left with 4/5. so 2 4/5

Answer:

It is c, 2 4/5

Step-by-step explanation:

5 goes into 14 2 times with 4/5 left over

2 (k + 2) = 8k - 5 - 3k

Answers

Answer:

k=3

Step-by-step explanation:

Answer:k=3

Step-by-step explanation:

helpgchjsghjcvbxnvbsvjdgasghgbhdvbahgvgbd

Answers

Answer:

yeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeet

Step-by-step explanation:

The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). After a translation of 6 units left and 2 units down, triangle FGH becomes triangle F'G'H'. After a translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"G"H". What translation would move triangle FGH to triangle F"G"H" directly? a. 6 units left and 2 units down c. 5 units left and 3 units up b. 1 unit left and 5 units up d. 2 units right and 6 units down Please select the best answer from the choices provided A B C D

Answers

Answer:

c. 5 units left and 3 units up

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is translation, rotation, reflection and rotation.

If a point A(x, y) is translated a units right and b units up, the new location is at A'(x+a, y+b), while if a point A(x, y) is translated a units left and b units down, the new location is at A'(x-a, y-b)

The vertices of triangle FGH are F(4, 1), G(0, 3), and H(2, -1). A translation of 6 units left and 2 units down, triangle FGH becomes triangle F'(-2, -1) G'(-6, 1) H'(-4, -3). A translation of 1 unit right and 5 units up, triangle F'G'H' becomes triangle F"(-1, 4) G"(-5, 6) H"(-3, 2)

The translation of FGH to F"G"H" is a translation of (x -5, y + 3), that is 5 units left and 3 units up

1. (3x + 7) + (8x + 2)

Answers

11x+9


Step by step:
Remove the parenthesis
3x+7+8x+2
Collect like terms
11x+7+2
Add 7+2
11x+9

Who can help we with this ?, if you can please show the work

Answers

piece #1 is x

the answer is c


Four friends stay at the Pickled Parrot Hotel for a night and each
have an evening meal. Bed and Breakfast costs £37 per person and
the evening meal costs £15 per person. How much is the total cost,
if a service charge is added at 171/2%?​

Answers

Answer:

total cost is £244.4

Step-by-step explanation:

( 37 * 4 ) + ( 15 * 4 ) = 208

208 * .175 = 36.4

208 + 36.4 = 244.4

HOPE THIS HELPS

The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then o = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then o = pi. If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then o = pi/2. In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.

Answers

Answer

 initially t=0 => c2sin(0)+c1cos(0) => y=0+c1 =>  y=0+5 => y=5

The weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

c1=5

Help! look at the image of the table of values below. Over which interval of x is the average rate of change the largest?

Answers

Answer:

A

Step-by-step explanation:

There is no way to tell a pattern.

Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property

Answers

Answer:

C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines [tex]x[/tex] and [tex]y[/tex] intersect to make pairs of vertical angles:

[tex]\angle q, \angle s[/tex] and [tex]\angle r, \angle t[/tex].

Kindly refer to the attached image for details of the given angles and lines.

Proof that [tex]\angle q\cong \angle s[/tex] :

[tex]\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}[/tex]

Here, subtraction property of equality is used in the last step shown in the above.

As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.

Answer:

C

Step-by-step explanation:

Because I am a genius

Mercurys average distance fron the sun is 35,000,000 miles. It takes 3 minutes for light to travel from the sun to Mercury. Neptune with an average of 2.8 x 10 to the power or 9 miles from the sun. How many times farther from the sun is Neptune than Mercury? How ling does it take light to reach Neptune?

Answers

Answer:

Neptune is 80 times farther from the Sun than Mercury.

It takes 4 hours to reach the light from the Sun to Neptune.

Step-by-step explanation:

Given that the average distance between the Sun and Mercury,

[tex]d_1=35,000,000[/tex] miles [tex]=3.5\times 10^7[/tex] miles.

The time to reach the light from the sun to Mercury, [tex]t_1 = 3[/tex] minutes

Let v m/s  be the speed of light.

So, [tex]v=\frac{d_1}{t_1}\cdots(i)[/tex]  [as speed = distance/time]

Now, the average distance between the Sun and Neptune,

[tex]d_2=2.8\times 10^9[/tex] miles.

The ration of the average distance of Neptune and Mercury from Sun,

[tex]\frac{d_2}{d_1}=\frac{2.8\times 10^9}{3.5\times 10^7}[/tex]

[tex]\frac{d_2}{d_1}=80\cdots(ii)[/tex]

So, Neptune is 80 times farther from the Sun than Mercury.

The time to reach the light from the sun to Neptune,

[tex]=\frac{d_2}{v}[/tex] [as time=distance/speed]

[tex]=\frac{d_2}{d_1/t_1}[/tex] [using equation(i)]

[tex]=\frac {d_2}{d_1}\times t_1[/tex]

[tex]=80\times 3[/tex]  [using equation(ii)]

=240 minutes

=4 hours [as 1 hour =60 minutes]

Hence, it takes 4 hours to reach the light from the Sun to Neptune.

Using the speed - distance relationship, we can deduce that Neptune is 80 times farther from the sun than Mercury and it will take 240 minutes for light from the sun to reach Neptune.

Given the Parameters :

Mercury's average distance from sun = 35000000 miles

Time taken for light to travel to mercury = 3 minutes

Neptune's average distance from sun = [tex] 2.8 \times 10^{9} [/tex]

Number of times Neptune is father from the sun than Mercury :

(Neptune's distance) ÷ Mercury's distance

[tex] \frac{2.8 \times 10^{9}}{35000000}= 80 [/tex]

Hence, Neptune is 80 times farther from the sun than Mercury.

Time taken for light to reach Neptune :

Time taken to each mercury × 80

3 minutes × 80 = 240 Minutes

60 minutes = 1 hour

240 minutes = (240 ÷ 60) = 4 hours

Therefore, it would take 4 hours for light to reach Neptune.

Learn more : https://brainly.com/question/18405415

Epicly epic epicness which is accounted to be epicly epic (36 points)

Answers

Answer:

epic

Step-by-step explanation:

Answer:

VERY EPIC

Step-by-step explanation:

1/2*x=3/4(x-2) what is the answer?

Answers

Answer:

x=6

Step-by-step explanation:

1/2x=3/4(x-2)

1/2x=3/4x-1.5      (distribute)

+1.5    +1.5

1/2x+1.5=3/4x

-1/2x     -1/2x

1.5=1/4x

6=x

hope this helps

brainliest?

PLEASE HELP PLEASe IT'S ONLY ONE QUESTION AND ITS SHORT

Answers

Answer:

Yes.

Step-by-step explanation:

It passes the line test.

yes ma’am , it passes the line test

So yeah can anyone help me out be a tone

Answers

Answer:

p = -4

Step-by-step explanation:

-3( 2+4p) + 7 = 49

Subtract 7 from each side

-3( 2+4p) + 7 -7= 49-7

-3( 2+4p)  = 42

Divide by -3

-3( 2+4p) /-3 = 42/-3

( 2+4p)  = -14

Subtract 2 from each side

2+4p-2 = -14-2

4p = -16

Divide by 4

4p/4 = -16/4

p = -4

Given three collinear points A, B and C. How many line segments do

they determine? Name them.

Answers

Answer:

Three segments: AB, BC, AC

Step-by-step explanation:

Remember to put the line on top since they’re segments.

Hope this helps!

help = brainleist
please help

Answers

Answer:

The answer is D

Step-by-step explanation:

Hope this helps

please mark as brainlist

The balance y (in dollars) of your savings account after t years is represented by y=300(1.05)'. The beginning balance of your friend's account is $340, and the balance increases by $10 each year. a. Compare the account balances by calculating and interpreting the average rates of change from t=2 to t=6.​

Answers

Answer:

My balance grows faster than my friends balance.

Step-by-step explanation:

My balance

[tex]y=300(1.05)^t[/tex]

where

t = Time

Average rate from t=2 to t=6 is given by

[tex]\dfrac{t(6)-t(2)}{6-2}\\ =\dfrac{300(1.05)^6-300(1.05)^2}{4}\\ =\mathbf{17.82}[/tex]

My friend's balance is given by

[tex]y=340+10t[/tex]

Average rate is given by

[tex]\dfrac{t(6)-t(2)}{6-2}\\ =\dfrac{(340+10\times 6)-(340+10\times 2)}{4}\\ =\mathbf{10}[/tex]

My balance grows faster than my friends balance.

Solve for x:
3x-3=x-19

Answers

Answer: x = -8

Step-by-step explanation: 2x=-16, x=-8

Answer:

-8

Step-by-step explanation:

3x - 3 =x - 19

3x - x =-19 +3

2x =-16

x=-16 :2

x=-8

What is the slope of the line that passes |
through (-3, -1) and (-5, 4) ?

Plz I need help

Answers

Answer:

-2.5

basically use slope formula which is x2-x1/y2-y1

In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.

Answers

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know [tex]\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}[/tex]. If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

[tex]\frac{sin(X)}{x} = \frac{sin(W)}{w}[/tex]

Plug in:

[tex]\frac{sin(68)}{x} = \frac{sin(93)}{520}[/tex]

The answer when solving for x is the above

Answer:

483

Step-by-step explanation:

delta math

Pam rented a bike from Jim's bike shop. Jim charges a rental fee of $6 and then $3 per hour
to rent the bike. If Pam paid $27, for how many hours did she rent the bike?

Answers

Answer:

7 hours

Step by step instructions:

$3 x 7 hours = $21

$21 + $6 = $27

3p^2-24+36
factorise with appropriate identity​

Answers

Answer:

3(p^(2)+4)

Step-by-step explanation:

just help and explain so i can understand!!

Answers

Answer:

‒6

Step-by-step explanation:

‒2‒4=‒6

or this means when you borrow 2$from one person&4$ from other person,then totally you have borrowed 6$. &borrow also expressed by‒ve

anyway you can understand as you want as you like

i think it is clear

i hope you understand me what i am saying

(Help me ASAP please) Which table contains only corresponding X-values in a Y-values where the value of Y is 3 more than the quotient of X and 2?

Answers

Answer:

Step-by-step explanation:

first ,you put it in a equation :y=x/2 +3 and you get an ordered pair from the graph like 7 is x  and  6.5 is y ,answer =7/2 =3.5 +3=6.5 and the y is also 6.5 so that is your answer.

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