The perimeter of a triangle is 65 cm. The
lengths of the sides are x cm, x+8 cm, and
X+ 12 cm.
What is the length, in cm, of the longest side of
the triangle?

Answers

Answer 1

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The longest side measures :

[tex]27\: \: cm[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Perimeter of a triangle is equal to sum of measures of its all three sides, that is :

[tex]x + x + 8 + x + 12[/tex]

and according to the question, the perimeter of the triangle is = 65 cm

so, let's equate both the expressions to find value of x :

[tex]x + x + 8 + x + 12 = 65[/tex][tex]3x + 20 = 65[/tex][tex]3x = 65 - 20[/tex][tex]3x = 45[/tex][tex]x = 45 \div 3[/tex][tex]x = 15[/tex]

The longest side of the Triangle is :

[tex]x + 12[/tex][tex]15 + 12[/tex][tex]27 \: \: cm[/tex]

Answer 2

27cm

Step-by-step explanation:

(xcm) + (x+8cm) + ( x+ 12cm) = 65cm

Open Bracket

xcm + x+8cm + x+12cm = 65cm

3x+ 20cm = 65cm

Collect like terms

3x = 65cm - 20cm

3x = 45cm

Divide both sides by 3

3x/3 = 45cm/3

x = 15cm

The longest side of the triangle =( x+12cm)

= (15+12)cm= 27cm


Related Questions

You spent a total of $63. How much will pay in 6% tax?

Answers

Answer:

You will pay $3.78 in tax. And you would pay a total of $66.78

Step-by-step explanation:

Answer: $3.78 or $66.78 if you are looking for the total amount including tax.

Step-by-step explanation:

6% can be represented by 0.06 so multiply that by 63

63*0.06=3.78

You will pay $3.78 in taxes

The total is 66.78 but I think you are asking for the tax.

a recreational club charges a one time $20 membership fee and $3 for use of the pool

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Answer:

what is the question asking?

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Answers

Answer:

320

Step-by-step explanation:

2 times 64 plus 4 times 48 equals 320

Look at the figure. How can you prove the triangles are congruent?

A) it is not possible to determine if the triangles are congruent

B) ABD = CBD by the SSS postulate

C) ABD = CBD by the SSS postulate

Answers

Answer:

Δ ABD ≅ Δ CBD  SSS

Step-by-step explanation:

AB ≅ CB                  Given                                

AD ≅ DC                  Given                                

BD ≅ BD                  Reflexive property      

Δ ABD ≅ Δ CBD      SSS      

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what is the inverse of tge function

Answers

Answer:

its the lastone

Step-by-step explanation:

What is the answer for x?

Answers

The value of x is 5 by using external angle

Answer:

Step-by-step explanation:

The triangle’s angles add up to 180 degrees

so 40 + (16x + 2) + ∠C = 180

The straight angle is 180°

so ∠C = 180 - (23x + 7)  

∠C = 180 - 23x -7

∠C = 173 - 23x

and then 40 + (16x + 2) +(173 - 23x) = 180

40 + 16x + 2 + 173 - 23x = 180

215 - 7x = 180

-7x = 180 - 215

-7x = -35

x = 5

please give me a brainliest answer

Plsplspslsplspslspls help me

Answers

Answer:

16. -16+7=-9

17. -11+1=-10

18. 12+13=25

19. -4+(-8)=-12

I need to fill out the GRAPH plss

Answers

Answer:

1 rabbit is 4 dollars

Step-by-step explanation:

for every rabbit you have, multiply it by 4 to find the number of dollars

List the terms in the expression xyz+1

Answers

Answer:

see explanation

Step-by-step explanation:

xyz + 1 ← has 2 terms

xyz is one term and the other is the constant term + 1

A game you wanted was discounted 45% and now costs $26.29 what did the game cost before the discount

Answers

Answer: I think its $58.4

Help please due today

Answers

Answer:

Line a. goes to table 3, line b. goes to table 2, and line c. goes to table 1.

Step-by-step explanation:

Here are the 3 lines graphed (I even labeled each for you) so you can have a bit of a visual.

Hopefully you can find the points on each graph.

(Hint: The x row represents the x coordinate of an ordered pair, and the y row represents the y coordinate of an ordered pair.)

Ordered pairs look like this btw (x,y)

Hope this helps :)

2|x/2+3|=1, solve for x, there is two answers.

please help asap I will give brainiest

Answers

Answer: -5 and -7

Step-by-step explanation:

|[tex]\frac{x}{2}[/tex]+3| = [tex]\frac{1}{2}[/tex]

It has 2 cases

the first case ;

[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{1}{2}[/tex]

[tex]\frac{x}{2}[/tex] = [tex]\frac{-5}{2}[/tex]

x = -5

the second case;

[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{-1}{2}[/tex]

[tex]\frac{x}{2}[/tex] = [tex]\frac{-7}{2}[/tex]

x = -7

please give me a brainliest answer

how to find an expression for the perimeter of the rectangle​

Answers

Answer:

Step-by-step explanation:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

PLEASE HELP what is the term what is A in the sequence and what is the common ratio
for 3 9 27 54

Answers

Show me a pic of the question please


To approximate the length of a lake, a surveyor starts at one end of the lake and walks 245 yards. He then turns 110 and walks 270 yards until he arrives at the other end of the lake. Approximately how long is the lake?

Answers

Answer:

Surveying To approximate the length of a marsh, a surveyor walks 250 meters from point  to point  , then turns  and walks 220 meters to point  (see figure). Approximate the length  of the marsh.

hope it helped

Step-by-step explanation:

The approximate length of the lake is 625 yards.

Given that, a surveyor starts at one end of the lake and walks 245 yards.

What is total?

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

He then turns 110 and walks 270 yards until he arrives at the other end of the lake.

Total length of the lake is

245+110+270 =625 yards

Therefore, the approximate length of the lake is 625 yards.

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https://brainly.com/question/15842940.

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Gold and silver are mixed in the ratio 7:4.if 36gm of silver is used.How many gold is used

Answers

Answer:

63gm

Step-by-step explanation:

7 gold : 4 silver

It gives you 36 silver.

to get from 4 silver to 36 silver you multiply by 9.

you multiply the gold by the same amount 9.

7*9= 63

you can see that for every 7 gold pieces there is 4 silver pieces. they keep piling up the pieces until there's 36 silver pieces. now they wanna know how much gold there is.

A square has an area of 4 square feet. What is the perimeter of the square, rounded to the nearest foot?

A. 8
B. 12.5
C. 28
D. 200​

Answers

Answer: A. 8 feet

Explanation:
A = L*W
Since the shape is a square, all sides are the same length. The square root of 4 is +- 2, but the value will be positive 2 because distance can’t be negative. If each side has a length of 2 feet, and a square has 4 sides, 2*4 = 8. The perimeter is 8 feet.

What is the value for x?
(6x4) B
Enter your answer in the box
rey-
С
X
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Answers

Answer:

OOOO Shoot im not in high school

Step-by-step explanation:


. There are 2 boys for every 3 girls in Mrs. Sorrentino's class. If there are 30 students in
the class, what percentage are boys?

(Please show how to solve this question , step by step!)

Answers

Answer:

40% are boys

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 = 5 parts

Divide number in class by 5 to find value of one part of ratio

30 ÷ 5 = 6 ← value of 1 part of the ratio, then

2 parts = 2 × 6 = 12 ← number of boys in class

percentage = [tex]\frac{boys}{total}[/tex] × 100%

                   = [tex]\frac{12}{30}[/tex] × 100%

                  = 0.4 × 100% = 40%

Answer:

40%   simplify the fraction then divide (boys/total)  then multiply by 100

Step-by-step explanation:                                                                                   2+3 = 5 is the distributer then :                                                                             30/5 = 6  then if 2 are boys  2 x 6 = 12 is the amount of boys                       12/30 = 2/5  simplified and then x 100 to fraction's to find percentage           2/5  x 100 =  40%                                                                                                            

You want to buy some rice.A 9-ounce package costs $2.79. A 15-ounce package costs $4.80.A 24-ounce package costs $6.96. Which package is the best to buy?

Answers

Answer:

A 9 ounce package

Step-by-step explanation:

I think it is

Use the example as a model. Simplify the expressions.
t^37 = ✔ i

t^82 = ✔ –1

Answers

Answer:

After , the sequence repeats itself

Divide 37/4 = 9 R 1. Now use the remainder and find which one of the values of i it matches.

so

Step-by-step explanation:

The expressions are simplified as;

i. t = ∛i

ii. t = 1

How to simply the expressions

From the information given, we have that;

Simplifying  [tex]t^3^7[/tex] = √i

When [tex]t^3^7[/tex]equals i (the imaginary unit), we can solve for "t" by taking the 37th root of both sides:

[tex]t^3^7 = i[/tex]

[tex]t = \sqrt[3]{i^3^7}[/tex]

[tex]t = i^(^3^7^/^3^)[/tex]

Since i^4 = 1 (i raised to the power of 4 is 1), we can simplify the exponent:

[tex]t = i^(^1^2 ^+ ^1^/^3^)[/tex]

[tex]t = i^1^2 ^* i^(^1^/^3^)[/tex]

Now, since[tex]i^1^2[/tex] = 1 and [tex]i^(^1^/^3^)[/tex] represents the cube root of i, we have:

t = 1 * ∛i

t = ∛i

Simplifying [tex]t^8^2[/tex] = √ –1:

Take the 82nd root of -1

[tex]t^8^2 = -1[/tex]

t = [tex]\sqrt{(-1)^8^2}[/tex]

t = √1

t = 1

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Ruben and his friends are celebrating Ruben's birthday at Adventure Zone, which has trampolines, mini golf, laser tag, and an arcade. Ruben's mom gives 18 arcade tokens to each kid at the party. In all, she gives out 144 tokens.
Use an equation to find the number of kids at Ruben's party.

Answers

The number of kids that are at Ruben's party will be 8 kids.

Let the number of kids at the party be represented by x.Number of arcades token given to each person = 18Total number of arcade tokens given out = 144

Based on the information given, the equation to solve the question will be:

18 × x = 144

18x = 144

x = 144/18

x = 8

Therefore, there are 8 kids at the party.

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https://brainly.com/question/25294118

Complete the proportional relationship table by filling in the blank sections. Dalia swims 2 pool laps every 3 minutes.tions. A runner runs 5.5 miles per hour.

Answers

Answer:

2/3

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

i took the k12 test

sorry if its wrong but i think its right at least it was for me

Two numbers have a sum of 12 and a difference of 4. What is the smaller of the two numbers?
Α. 8
B. 6
C. 4
D. 3

Answers

Answer:

8

Explaining :

4/12 is 8

8+4=12

12-4=8

I hope it work :)

for cases of n objects taken n at a time the number of possible combinations is _____________ the number of possible permutations.

Answers

Answer:

I believe your answer is less than or equal to. I hope this helps.

I’m pretty sure that the answer is less than hopefully this helps

can someone pls help me with solving one variable expressions pls show your work too so i can understand thanks

Answers

Step-by-step explanation:

Basically, let's represent the amount of money earned in

July with x

and

August with x+90

x+(x+90)=350

2x+90=350

2x=350-90

2x=260

x=260÷2

x=130

So, Wanda earned $130 babysitting in July and in July, 130+90=$220.

Hope this helps!

Mr ko buys water bottles for a class trip he needs 20 water bottles and buys them in packs of 8 how many packs does mr ko need to buy

Answers

he would need to buy 3 packs

What is the proportional rate for 15/21=20/y?

Answers

Answer:

y=28

Step-by-step explanation:

15/21=20/y

15y=420

y=28

Mr. Ramirez purchased 50 concert tickets for a total of $575. The concert tickets cost $15 for adults and $10 for children under the age of 12.

Write and solve a system of equations to represent the given scenario. Use the variables "a" for adults and "c" for children.

Answers

Answer: He purchased 15 adult tickets and 35 child tickets.

Explanation:
a = adult tickets
c = child tickets

a + c = 50
15a + 10c = 575

The first equation can be rearranged and substituted into the second equation.

a = 50 - c
15(50 - c) + 10c = 575
750 - 15c + 10c = 575
750 - 5c = 575
-5c = -175
c = 35

The value of c can be substituted into either one of the original equations to find a.

a + c = 50
a + 35 = 50
a = 15

Check:
a + c = 50
15 + 35 = 50
50 = 50

15a + 10c = 575
15*15 + 10*35 = 575
225 + 350 = 575
575 = 575

Given the function y= {3x+1 if x≥0,x−2 if x<0 }. Find its values for x=−1; 0; 1; 2. Answer: If x = −1, then y = . If x = 0, then y = . If x = 1, then y = . If x = 2, then y = .

Answers

Answer:

If x=-1 then y= -3

If x=0 then y=1

If x=1 then y= 4

If x=2 then y= 7

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