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

Find the slope of the line through each pair of
points.
(-2,-19), (-20, 11)

Answers

Answer:

[tex]m=\frac{11+19}{-20+2} \\m=\frac{30}{-18} \\m=\frac{-5}{3}[/tex]

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Complete:  y2 - y1 over x2 - x1 with your given points.

11 - (-19)  =        30

______      ______  

-20 - (-2)  =     -18  

⁻³⁰⁄₁₈ =  ¹⁵⁄₃ = ⁵⁄₁        Simplify to lowest fraction            

What is 3/5 as a percent?

Answers

Answer:

3/5 as a percent is 60% hope that helps

Solve for p, I don't know what else to add but yeah
solve for p?
Also explain

Answers

Answer:7

Step-by-step explanation:

6p-4+7p+3=90

13p-1=90

13p=91

p=7

pls help again (picture below)

Answers

Answer:

C 10 to the power of 7 equals 10,000,000 and x 3.45 = 3450000000

Step-by-step explanation:

combine like terms to simplify the expression

Answers

1/2 K - 3/5 is the answer. You’re welcome and Brainliest would be appreciated :)

Answer:

[tex]\frac{1}{2} k-\frac{3}{5}[/tex]

Step-by-step explanation:

Step 1: Define expression

[tex]\frac{2}{5} k-\frac{3}{5} +\frac{1}{10} k[/tex]

Step 2: Change denominators to like terms

[tex]\frac{4}{10} k-\frac{3}{5} +\frac{1}{10} k[/tex]

Step 3: Combine like terms

[tex]\frac{5}{10} k-\frac{3}{5}[/tex]

Step 4: Simplify

[tex]\frac{1}{2} k-\frac{3}{5}[/tex]

plz help plzzzzzzzzzzz​

Answers

Answer:hahhahahahahahahhaha that sucks were both stupid!!!

Step-by-step explanation:

Bobby Joe and Billy ray went fishing at the local watering hole and caught a total of 51 fish. Billy Rat caught 17 fewer fish than Bobby Joe. Write an expression you can use to find out how many fish, f, each boy caught. How many fish did each boy catch? Bobby Joe caught ___ fish Billy Ray caught___ fish

Answers

Answer:

Bobby Joe caught 34 fishes

Billy Ray caught 17 fishes

Step-by-step explanation:

Let the number of fish Bobby Joe caught = y

Let the number of Billy Ray caught = x

Total number of fish caught = 51 fishes

x + y = 51......... Equation 1

Billy Ray caught 17 fewer fish than Bobby Joe.

y = x - 17

Write an expression you can use to find out how many fish, f, each boy caught.

Substitute x - 17 for y in Equation 1

x + y = 51......... Equation 1

x + (x - 17) = 51

x + x - 17 = 51

2x = 51 - 17

2x = 34

x = 34/2

x = 17

Hence, Bobby Joe caught 17 fishes

x + y = 51

17 + y = 51

y = 51 - 17

y = 34

Hence, Billy ray caught 34 fishes

Which expressions are equivalent to (4n − 4) −( n + 8) ?

Answers

Answer:

3 (n - 4)

Step-by-step explanation:

plz help ill give brainliest In the kite , AK=15 , JK=39 , and AM=77 .

What is JM ?

Answers

Answer:

125 i think....

Step-by-step explanation:

what’s the quotient of -21/-3?

Answers

Answer:

7

Step-by-step explanation:

When dividing two negative numbers, the negatives cancel out, leaving you with simply 21/3. As you probably know, 21/3 is 7.

A hybrid car uses 1 gallon of gasoline to drive 54 miles. How many gallons of gasoline would be used to travel 162 miles?

Answers

Answer:

3 gallons

Step-by-step explanation:

if 1 gallon is consumed for 54 miles

what about 164 miles ..

so you take 1 * 162

..........

54

A student solved the equation below using the steps shown, rounding to two decimal places if necessary.

which step contains the first mistake ?

A. step 2

B. step 1

C. step 3

D. step 4

Answers

Answer:

Step 1

Step-by-step explanation:

The mean temperature for the first 4 days in January was -12°C.
The mean temperature for the first 5 days in January was -13°C.
What was the temperature on the 5th day?

Answers

Answer:

-17

Step-by-step explanation:

Given

The mean temperature for the first 4 days = -12°CThe mean temperature for the first 5 days = -13°C

To find

The temperature on the 5th day

Solution

Total of 4 days = 4*(-12) = -48°CTotal of 5 days = 5*(-13) = -65°C

The difference is the temperature on the 5th day:

-65 - (-48) = -17°C

Answer:

-17

Step-by-step explanation:

Given

The mean temperature for the first 4 days = -12°C

The mean temperature for the first 5 days = -13°C

To find

The temperature on the 5th day

Solution

Total of 4 days = 4*(-12) = -48°C

Total of 5 days = 5*(-13) = -65°C

The difference is the temperature on the 5th day:

-65 - (-48) = -17°C

Help me I need it giving brainiest

Answers

Answer:

120

Step-by-step explanation:

there are three sides, they have to equal 360 degrees so 360/3 = 120, you got it right.

For three consecutive plays, the Patriots gained
12 yards per play. On the next play, they lost 5
yards. What is the change in field position for
these four plays?

Answers

Answer:

The overall change in field position is 7yds, 0 - 5 + 12 = 7, if that isn't a "sum of integers" I apologize.

Step-by-step explanation:

John took 8 hours to drive 385 miles. He believes that at this same rate he will need at least 17 hours to drive 1000 miles which is the best estimate of the total amount of time he will need to drive 1000 miles

A- 17

B- 19

C-21

D-15

Answers

Answer:

Step-by-step explanation:

Step one:

give data

time= 8hours

distance=385mile

speed=?

Step two:

let us solve for the speed

Speed= distance/time

Speed=385/8

speed=48.125miles per hour

Step three:

let's find the time taken to cover 1000mile at the speed of 48.125 mi per hour

speed=distance/time

time=distance/speed

time=1000/48.125

time=20.779hours

approximately 21 hours

At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after
t
t hours of snow falling?

Answers

Answer:

y= 11+t.05. t= hours of snow

-------------------

y= 11 + 5 (.05)

y= 11 + 2.5

y= 13.5

ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?

Answers

Answer:hope it helps,

Step-by-step explanation:

Please answer this question

Answers

Answer:

she is running at a constant speed

Step-by-step explanation:

the bar is still because she isnt going faster or slowing down she is constant

Answer:

D: She is at a constant speed.

Step-by-step explanation:

she is not acceleraring or decelerating, so her speed is constant

PLEASE HELP ASAP

Salina’s age is one-quarter the age of her aunt. If a represents her aunt’s age, which expression represents Salina’s age?
4a
a minus 4
a + 4
StartFraction a Over 4 EndFraction

Answers

Answer:

a over 4

Step-by-step explanation:

hope this helps you

Answer:

Last answer I think, it was hard to understand the explained choices but I think it's a/4.

. Keisha and her mom are at the grocery store. Keisha's mom allows her to buy a 2 pound bag of candy. Keisha can choose gummy worms, which are .40 cents per pound, or she can choose sour patches, which are .60 cents per pound. How much of each candy can Keisha buy?

Answers

Answer:

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

Step-by-step explanation:

Keisha is allowed to buy only 2 pounds bag of candy.

Now, she can choose either gummy worms or sour patches.

Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.

Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents

Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

what is x in x/5 = -3

Answers

Answer:

-15

Step-by-step explanation:

x/5 = -3

multiple both sides of equation by 5:

x = -3(5)

x = -15

Answer:

-15

Step-by-step explanation:

Hope this is the right answer


20.
60
(x + 20)
Зх
Sum of angle
measures: 180°

Answers

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Sum of the interior angles of any triangle equal 180° .

Thus ;

[tex](x + 20) + 3x + 60 = 180[/tex]

[tex]4x + 80 = 180[/tex]

Subtract sides 80

[tex]4x + 80 - 80 = 180 - 80[/tex]

[tex]4x = 100[/tex]

Divide sides by 4

[tex] \frac{4}{4} x = \frac{100}{4} \\ [/tex]

[tex]x = 25[/tex]

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Answer: definitely x=25

Step-by-step explanation:

Write an equation for each problem. Then solve. Round to the nearest tenth if necessary.



55 is what percent of 100?

Answers

Answer:

55%

Step-by-step explanation:

100 is a whole number. Half of 100 is 50 meaning that you have divided 100 by 1/2 or 50%.

55/100 = 55%

Answer: 55%

Step-by-step explanation:

ILL MARK BRAINLIST IF YOU SHOW YOUR WORK and get it right ....... Simplify 42/70

Answers

Find the GCF(Greatest Common Factor) of 42 and 70: 14

Divide numerator and denominator by the GCF.

42 ÷ 14 = 3

70 ÷ 14 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Think of the GCF of 42 and 70

which is 14 divide by 14 which you will get 3/5

(Alternate method)

If you don't know how to do that I will try to divide by the prime numbers like: 2,3,5,7 etc

until you get to a answer that can't be divided anymore

Hope this helps!

Solve:
-2(x – 4) = -8
x = 8
X = -8
X = 16
X = -16
Help please

Answers

Answer:

x = 8

Is that what you wanted?

what is the product of (-0.5)(-1.2)(-5.22)?

0. -9.8
0. -3.132
0. 3.132
0. 9.8​

Answers

Answer:

The answer is B or -3.132

Step-by-step explanation:

You are multiplying 2 negatives and a positive, so it guarantees it will be negative! Hope this helps!

Beth has to choose which trail to hike. Trail A is 3 miles long, all uphill, with an elevation change of 900 feet. Trail B is 1 mile long, also uphill, with an elevation change of 700 feet.

1. Which trail do you think would be more difficult to hike up?

2. Explain your answer to question

Answers

1. A would be more difficult to hike up.

2. Because it has more miles than B does and the elevation is lowers

given the function f(x)=(x-2)(x+3)(2x+3), which set includes all of the zeros for the polynomial?

Answers

Answer:

{2, -3, -3/2}

Step-by-step explanation:

hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.

x-2=0

x=2

x+3=0

x=-3

2x+3=0

2x=-3

x=-3/2

The set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

What is a polynomial?

They are mathematical expressions involving variables raised with nonnegative integers and coefficients(constants that are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication, and nonnegative exponentiation of variables involved.

We have been given the function f(x)=(x-2)(x+3)(2x+3)

Each of the binomials is equal to 0 to determine the zeros of this polynomial.

1. x-2=0

x=2

2. x+3=0

x=-3

3. 2x+3=0

2x=-3

x=-3/2

Hence, the set includes all of the zeros for the polynomial would be; {2, -3, -3/2}.

Learn more about polynomials here:

https://brainly.com/question/27343162

#SPJ2

Tony is selling boxes of cookies. He charges $7 for the box plus $2 per cookie.One filled box sells for $35 how many cookies will fit in the box

Answers

Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

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