the lengths of the sides of a triangle are consecutive even integers. one fourth of the perimeter is one less than the length of the shortest side. find the perimeter of the triangle.

Please help xD

Answers

Answer 1

Answer:

36

Step-by-step explanation:

Let the shortest side be x, the other sides are x + 2 and x + 4

Perimeter is:

P = x + (x + 2) + (x + 4) = 3x + 6

It is given that:

1/4P = x - 1

Substitute and solve for x:

1/4(3x + 6) = x - 13x + 6 = 4x - 44x - 3x = 6 + 4x = 10

Perimeter is:

P = 3*10 + 6 P = 36
Answer 2

HERE,

the lengths of the sides of a triangle are consecutive even integers.

If one angle=a

other are=(a+2) and (a+4)

So,

perimeter(p) =a+a+2+a+4=3a+6

But,

one fourth of the perimeter is one less than the length of the shortest side.

[tex]\bold{\dfrac{1}{4}p=a-1 }[/tex]

so,

According to the question,

[tex]\tt{\dfrac{1}{4}(3a+6)=a-1 }[/tex]

[tex]\tt{\dfrac{3a+6}{4}=a-1 }[/tex]

[tex]\tt{4(a-1)=3a+6 }[/tex]

[tex]\tt{ 4a-4=3a+6 }[/tex]

[tex]\tt{4a-3a=6+4 }[/tex]

[tex]\bold{ a=10 }[/tex]

so,

Perimeter (p)=3×10+6=30+6=36

perimeter of the triangle is 36 .


Related Questions

......Help plssssssssssss.........

Answers

Answer: 18

Step-by-step explanation:

Answer:

12/100 X 150= 18

18 gallons

25 points and brainiest

Describe or show two different ways to find the volume of a right rectangular prism with dimensions of 9 centimeters by 7 centimeters by 12 centimeters.

Answers

answer: 756 cm

explanation: You can multiply the length(9) by the width(7) and multiply by the height(12), or you can multiply by the height first then the width and last the length.

2.5(12.75x + 24.50) = 188.75
1. Simplify both sides of the
equation
(remove parentheses
and/or combine like terms).
2. Use inverse operations and
properties of equality to
"undo" what is happening to
the variable. (use the
reverse order of operations
because we are undoing)
3. Check your answer by
substituting your answer
into the original equation.

Answers

Answer:

Step-by-step explanation:

First, in order to get rid of the parenthesis, you need to multiply 2.5 with whatever is in the parenthesis.

Multiply 2.5 on each side of the equation like this:

(12.75 x 2.5) (24.50 x 2.5) =188.75

Once you're finished, you should get 61.25 and 31.875x =188.75

Now in order to find 'x' you will need to subtract 61.25 to each side of the equation like this:

61.25 - 61.25 = 0

188.75 - 61.25 = 127.5

So now your equation should look like this:

31.875x = 127.5

You have to divide 31.875 by each side now.

Once you divide them, your final answer should be 4.

so x = 4.

I really hope this helps! ^^

X=4






That’s the answer

PLZ HELP MEEEEEEEEEEEEE

Answers

Answer:

Ill do this quick...

Its B.

Step-by-step explanation:

please help ill give brainliest

Answers

Answer:

The second one

Step-by-step explanation:

Answer:

The second oneee

Step-by-step explanation:

the mark that I don't know how to do on a phone is greater than or less. from the question, we know it can be exactly 20.

Water goes over Niagara Falls at a rate of 180 million cubic feet every 1/2 hour. How much water goes over the falls in 1 minute?

Answers

Answer:

6 million cubic feet

Step-by-step explanation:

6 million cubic feet in 1 minute that should be correct with my calculations

Megan spent one-fourth as much as Hannah, who spent d dollars.
Emily spent ten dollars more than Megan.
Kyle spent three dollars less than Emily.
Which expression represents the amount Kyle spent?

A. d/4 + 7
B. d/4 + 13
C. 4d + 7
D. 4d + 13


I don’t really understand this question, so please help if you can!!

Answers

Answer: b

Step-by-step explanation: if I’m wrong tell me

Answer: B

Explanation:

i need help with this

Answers

Answer:

/dshc

Step-by-step explanation:

I believe the answer is d

I need help with this question that's attached

Answers

The answer is a certain combination of numbers or letters and spaces and maybe symbols that I will no tell
Explanation: common sense dude XD

40 POINTS!
A square pyramid is shown:



What is the surface area of the pyramid?

A. 2.46 square feet
B. 8.76 square feet
C. 5.16 square feet
D. 1.56 square feet

Answers

Answer:

B.76 square feet

Step-by-step explanation:

SA=B+L

Answer: B)  8.76 square feet

=========================================================

Explanation:

The base is a square with side length 0.6 ft, so the base area is 0.6*0.6 = 0.36 square feet.

Each lateral triangular panel has base 0.6 ft and height 7 ft. The area of one triangle is 0.5*base*height = 0.5*0.6*7 = 2.1 square feet

So four of these triangles combined give a lateral surface area of 4*2.1 = 8.4 square feet. Add this onto the base area to get 8.4+0.36 = 8.76 square feet of total surface area.

EXPLAIN WHY KNOWING 15 X 1/5 = 3 HELPS TO ANSWER 3 DIVIDED BY 1/5 = 15.

Answers

Step-by-step explanation:

KNOWING 15 X 1/5 = 3 HELPS TO ANSWER 3 DIVIDED BY 1/5 = 15 BECAUSE U CAN USE THE INVERSE OPERATION.

I AM GOING TO ASK THIS ONE MORE TIME CAN SOMEONE PLEASE HELP ME WITH THESE 4 QUESTION ITS REALLY IMPORTANT I WILL GIVE YOU BRAINLIEST PLEASE DONT PLAY AROUND YOU DONT UNDERSTAND HOW IMPORTANT THIS IS

Answers

Answer:

8, 4, 3.5, 6

Step-by-step explanation:

You basically add to each side what they added to one side. The property tells you you can add the same thing to both sides like y=x and y+4=x+4

Brandon bought 14 2/5 pounds of clay to build a volcano for his science project. He used 10 1/2 pounds of clay on his project. How many pounds of clay does he have left?

A. 3 1/10
B. 3 2/5
C. 3 9/10
D. 3 1/3

Answers

Answer:

3 9/10 or 3.9 as decimal

Step-by-step explanation:

just subtract

Answer: it will be C
Explanation: 14 minus 10 is 4.
I’m going to make 2/5 4/10 and just minus 5/10 that will make it so that will make it 3 9/10

Math Integers Please Help!!!


Matt first deposits $50 dollars into his bank account. The following week he withdraws $68. What integer represents the amount of money in his bank account?

Answers

Step-by-step explanation:

50 he puts in his bank then he takes 68 so he doesn't but have enough he took 18 dollars more that he does not have so it's 50-68= -18

so he now he has to give the bank 18 dollars

i think it might be that

Amelia needs to buy some cat food. At the nearest​ store, 6 bags of cat food cost ​$22.50. How much would Amelia spend on 3 bags of cat ​food?

Answers

It would be 11.25. Basically you are getting half of the amount so the cost would be half.

Answer:

11.25 I would think

Step-by-step explanation:

3 is half of 6, so you basically just divide by 2. 22.50/2=11.25

Denny made % pound of pasta salad and % pound of potato salad to take to
a barbecue. How many pounds of pasta and potato salad combined did
Denny take to the barbecue?
1. What is the LEAST common denominator/multiple?

Answers

Answer:

1 and 5/12 pounds

hope it helps

Find the value of . A. 3 B. 5 C. 25 D. 375

Answers

Answer:

ANSWER IS 5!!! hope this helps

B!! the square root is 5

pls answer if i dont get good grades i wont be able to play soccer

Answers

Answer:

It’s A you are correct kid

Step-by-step explanation:

Use the fraction model to multiply: six multiplied by two thirds. Leave your answer as an improper fraction.

six fraction models, each model is partitioned into three equal parts, with two parts shaded in each model

eight thirds
eight ninths
four thirds
twelve thirds

Answers

Twelve thirds
Explanation- 6 times 2=12 which is the numerator
And 1 times 3= 3 which is denominator so the answer is 12/3
The answer is twelve thirds

The two quadrilaterals below are similar. Find the missing side.

Answers

Answer:

35 in

Step-by-step explanation:

So, the ratio of sides are 3.5(49/24, 10.5/3). In that case, multiply the ratio to the "x" side, which is 3.5 x 10, which is 35 cm. Hope this helps!

Answer:

4 for the smaller one and 45 for the bigger one

Step-by-step explanation:

What persent is 3/250 also pls enculde expliantion

Answers

1.2%

3/250 = 0.012

0.012 x 100 = 1.2%

3/5 of a club are 12 years old. If there are 35 members in the club, how many members are age 12? ____ member are age 12.

Answers

Answer:

21

Step-by-step explanation:

35 times 3/5

multiply 7 by 3

Answer:

ok

Step-by-step explanation:

Help please!! Will mark as brainliest

Answers

Answer:

b

Step-by-step explanation:

i guess

I think it’s letter B,I guess

Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer.

Answers

Answer:

Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet,

Total area = triangle 1 area + triangle 2 area + rectangle area= 312.5 + 32 + 280 = 624.5

Triangle1 area = height × base2

Triangle1 area = 25 × 252/ = 312.5

The other height and base of 8 feet,

Triangle 2 area = height × base2

Triangle 2 area = 8 × 8/2= 32

And one rectangle measuring 35 feet by 8 feet

Rectangle area = height × base 

Rectangle area = 35 × 8 = 280

The area of the polygon is 624.50 ft².

The shapes in the polygon.

The area of the polygon can be determined by adding the areas of the shapes in the polygon. The polygon is made up of two right triangles and a rectangle.

Area of a triangle = [tex]\frac{1}{2}[/tex] x base x height

Area of a rectangle = length x width

Area of the polygon

Area of the rectangle

Width = 8 feet Length = 35 feet

Area = 35 x 8 = 280 ft²

Area of the triangles

Area of the bigger triangle

Base = 33 ft - 8ft = 25 ftLength = 25 feet

Area = 1/2 x 25 x 25 = 312.50 ft²

Area of the smaller triangle

Base = 43 ft - 35ft = 8 ftLength = 8

Area = 1/2 x 8 x 8 = 32 ft²

Area of the polygon = 32 ft² +  312.50 ft² +  280 ft² = 624.50 ft²

To learn more about rectangles, please check: https://brainly.com/question/16595449

A sign in a bakery gives these options:

15 cupcakes for $26
24 cupcakes for $42
40 cupcakes for $66
Find each unit price to the nearest cent, and show your reasoning.
Which option gives the lowest unit price?

Answers

Answer:

The lowest unit price would be last option

Step-by-step explanation:

We must divide the price by the amount of cupcakes we will be getting. Once we do that we'll get:

A. 1.77 cents

B. 1.75 cents

C. 1.65 cents

Hope this helped

Answer:

40 cupcakes for $66

Step-by-step explanation:

To find the unit price of something, dived the total amount by how may there are.

$26 divided by 15 cupcakes would be $1.7333333333, but if you round it up, it would be  $1.74

$42 divided by 24 cupcakes would be $1.75

$66 divided by 40 cupcakes would be $1.65

Please help! These are composite figures, find the area of the figure and round your answer to one decimal place, if necessary.

Answers

Answer: 1333.25

Step-by-step explanation: The area of the rectangle is 23x23 = 529.

Area of the square is 804.25. So add them toget her and you get your answer.

The answer is 1333.25!

y=-|x-5|
What is the axis of symmetry?

Answers

Answer:

The equation given to us is in the Standard form

y

=

a

x

2

+

b

x

+

c

where

a

=

1

,

b

=

0

and

c

=

1

The Axis of Symmetry is given by the formula

x

=

b

2

a

x

=

0

2

1

x

=

0

is the Axis of Symmetry of the Parabola with the equation

y

=

x

2

1

Step-by-step explanation:

The axis of symmetry would be x=5

can yall do this for 10 pints?


Tony is writing a fraction equivalent to 2/7 using the formula 2×m 7×n. Which statement about m and n must be true so that Tony's fraction has the same value as 2/7?

Answers

m and n must be equal!

Answer:

Ummm no

Step-by-step explanation:

Your pay increased from $230 to $250 per week. What is the percent increase of your weekly pay?
SHOW WORK PLEASE

Answers

Answer:

20%

Step-by-step explanation:

250-230=20

20%=46

Answer:

8.70%

Step-by-step explanation:

Please help! These are composite figures, find the area of the figure and round your answer to one decimal place, if necessary.

Answers

Answer:

270 in sq

Step-by-step explanation:

multiply 13 and 20 and 1/2 then  7 and 20 add the values at the end

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