The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer
than the second side. Find the length of each side.

Answers

Answer 1

We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:

GiveN:

One side is 3 times the second side.Third side is 12 feet longer than the second side.

As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.

So let the second side be x

Then,

First side = 3xAnd, third side = x + 12

We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

[tex]3x + x + x + 12 = 32[/tex]

Solving it further,

[tex]5x + 12 = 32[/tex]

Subtracting 12 from both sides,

[tex]5x + 12 - 12 = 32 - 12[/tex]

[tex]5x = 20[/tex]

Dividing 5 from both sides,

[tex] \frac{5x}{5} = \frac{20}{5} [/tex]

[tex]x = 4[/tex]

Then,

First side = 3x = 12 feetSecond side = 4 feetThird side = x + 12 = 16 feet

And we are done with the answer !!

#CarryOnLearning

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Related Questions

9-6=3, 6+3=9, 3+6=9 what is the missing fact family?

Answers

Answer:

9-3=6

Step-by-step explanation:

An addition/subtraction fact family has 2 addition equations and 2 subtraction ones.

The question already states both addition ones, but only one subtraction

The subtraction one stated is 9-6=3

The opposite is 9-3=6

Hope this helps :-)

BRAINLIST! I put the picture down bellow its on equations A. Incorrect division or multiplication B. Incorrect addition or subtraction C. Failure to combine like terms D.Added terms instead of multiplying

Answers

Answer:

i think it is b .

Step-by-step explanation:

If elephant grass grows 3 2/5 inches a day, how many inches will it grow in 7 days?

Answers

Step-by-step explanation:

do 3 2/5 times by 7 to get ur answer


which is the right one????

Answers

B) 13

Step-by-step explanation:

Set up the question by doing 2x + 10 + 4x + 1 = 29 since both of these sections equal KN or 29. Simplify it to 6x + 11 = 29. Subtract 11 from both sides so 6x = 18. Divided both sides by 6 so x =3. CN’s equation is 4x + 1. Plug 3 in for x to be 4(3) + 1 which is 13. Hope this helped!

Answer:

13

Step-by-step explanation:

If 29 is KN, that would mean that both expressions, since they make up KN, add up to 29.

So, you end up combining like terms and getting this:

6x+11=29

Subtract 11 from both sides

6x=18

Divide both sides by 6

x=3

and now to find out CN, simply plug 3 in for x:

4(3)+1

12+1

CN=13

3g-9+11g-21 simplyfy

Answers

Answer:

=14g−30

Step-by-step explanation:

I hope this helps you

Answer:

14g - 30

Step-by-step explanation:

combine like terms

Name the set or sets of numbers to which the square root of 28 belongs to.

Answers

SOLUTION: name the set or sets of numbers on a numbers to which each real number bleongs question 1) negative square root of 64 question 2) 8/3 question 3) square root 28 questio. , so it is a Real Number, Rational Number, and Integer. is a fraction, so it is a Real Number and a Rational Number.

Hope this helped! Brainliest?

find the distance between theses points:(8,0),(-6,6). Round answer to nearest tenth if necessary.

Answers

Answer:

Chicken strips

Step-by-step explanation:

Dont ask they are just on my mind

9. The maximum value of a data set
consisting of 25 positive integers is 84. A
new data set consisting of 26 positive
integers is created by including 96 in the
original data set. Which of the following
measures must be 12 greater for the new
data set than for the original data set?​

Answers

Answer:

Let m be the minimum value of original data set.

Given -

The range of original data set = 84 -mA new data set consists of 26 positive integers and 96 original data set.

Therefore, the range of new data set is 96-m.

Now, we can find the difference between two ranges by subtracting the ranges -

[tex] \\ \implies \sf \: (96 - m) - (84 - m) \\ \\ \\ \sf \footnotesize \: using \: \: distributive \: \: property \: - \\ \\ \\ \bf \: it \: \: will \: \: be \: \: equal \: \: to \: \: 12. \\ [/tex]

Therefore, the range of the new data set must be greater than the range of original data set.

What is 2 times 300=? Just kidding i know the answer but any body wanna just talk?

Answers

Answer:

Sure! XD

Step-by-step explanation:

600:) hope I helped ya out

12+8x10.00000000000000000

Answers

Answer:

92

Step-by-step explanation:

10.00000000000000000 is the same as just 10

so through bodmas/bidmas you know thta the multiplication ha sto be done first so 8 x 10 =80

no add the first value.

12+80=92

-4x +5y-14
when x = 0 and y= 3
5

Answers

Answer = 1
-4(0) + 5 x 3 - 14

One hundred four and twelve hundredths ___ One hundred four and two thousandths

Answers

Answer:

104.12 > 104.002

Step-by-step explanation:

Which number is a counterexample to the following statement? All numbers that are divisible by 2 are divisible by 4.

A. 0
B. 12
C. 28
D. 42

Answers

Using divisibility concepts, a counterexample to the statement is given by option the number 42, option D.

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

If the remainder of the division of A by B is 0, it is said that A is divisible by B.

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

In option A, 0 is divisible by both 2(0/2 = 0) and 4(0/4 = 0), so it is not a counterexample.In option B, 12 is divisible by both 2(12/2 = 6) and 4(12/4 = 3), so it is not a counterexample.In option C, 28 is divisible both by 2(28/2 = 14) and 4(14/2 = 7), so it is not a counterexample.In option D, 42 divided by 4 is 10 with a remainder of 2, thus 42 is not divisible by 4, being a counterexample to the statement.

A similar problem is given at https://brainly.com/question/24354438

I need help with this question

Answers

The answer is 17 when you substitute u=-2
The answer is 9, using bodmas

Chapter
1
Review & Refresh
Simplify the expression.

1. 18x - 6x + 2x

2. 4b – 7 – 15b + 3

3. 15(6-g)

4. –24 + 2(y – 9)

Please help me with these 4 problems!!:))

Answers

Answers:

1) 18x - 6x + 2x = 14x

Combine like terms by subtracting 6 from 18 and adding 2

2) 4b - 7 - 15b + 3 = - 11b - 4

Combine like terms add 4b and - 15b ; add -7 and 3

3) 15(6-g) = 90 - 15g

Distribute the 15 to both terms

4) -24 + 2(y - 9) = 2y - 42

Distribute the 2 to (y-9) and combine like terms

   

sorry for the messy laptop but can someone help me qwq

Answers

I believe the correct answer is H. 1,-5

what is the largest number that rounds to 260 when rounding to the nearest ten?​

Answers

Answer:

260 im pretty sure

..........

if there is 5 or higher in the ones place you round up, if there's a 4 or lower you round down. Since there is a 0 in 260 it stays the same so the answer is 260

sorry if im wrong

Which coordinate pair represents the reflection of (-4,6)

Answers

The answer is C because when it reflects the 4 stays negative and the 6 because negative because it reflected on the negative side

Hope this helped! :))

The length of a rectangle is four times its width. If the area of the rectangle is 100 in2, find its perimeter.

Answers

Answer:

the perimeter is 50 inches squared

Step-by-step explanation:

if the length is 4 times that means the sides are 20 and 5

9. All state names have at least two syllables. True or false

Answers

Answer:

False

Step-by-step explanation:

Only six states have two syllables in their name.

No, only six states have at least two syllables.

Here,

We have to check the given statement '' All state names have at least two syllables'' is true or false.

What are states which have at least two syllables?

There are only 6 states have at least two syllables.

1. Georgia.

2. Kansas.

3. New York.

4. Texas.

5. Utah.

6. Vermont.

Now,

There are only 6 states have at least two syllables.

Hence,

The given statement '' All state names have at least two syllables'' is false.

Learn more about the states have at least two syllables visit:

https://brainly.com/question/6281117

#SPJ2

Write the definition as a biconditional statement: Two angles are vertical angles when their sides form two pairs of opposite rays. ​

Answers

Answer:

Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays.

Step-by-step explanation:

A biconditional statement is one that must fulfill the two conditions of the statement for it to be true. The two required conditions in the statement are always connected by if and only if.

The required statement is: Two angles are said to be vertical angles if and only if their sides form two pairs of opposite rays

Vertical angles are equal and opposite. Therefore for the biconditional statement to be true, the angles should be vertical and their sides must form two pairs of opposite rays.

A car rental business charges a daily fee along with a one-time fixed charge to refuel the car when it is returned. The equation the business uses to calculate the total rental cost, c is c=15d+24c = 15 d + 24, where d represents the number of rental days. What is the daily increase in the total cost of the rental?

Answers

Answer:

$15

Step-by-step explanation:

Since we are given the actual equation, which is c = 15d + 24 (it is repeated in the question twice) we can see that the independent variable would be the number of days that the car is rented. Therefore we can simply plug in a value for this to calculate c. So below we can see the total cost for 1 day rent (d = 1 ) and 2 days rented (d = 2)

c = 15(1) + 24 = 39

c = 15(2) + 24 = 54

Now we can simply subtract these two values and to see the daily increase

54-39 = 15

Therefore we can see that the total price will increase by $15 for each day that it is rented.

Estima el producto de 767 y 5,751.
(Redondea cada número al valor posicional mayor.)

Answers

(No estoy seguro si este es el valor posicional más alto, pero estoy casi seguro). Cuando redondea estos números, obtiene 800 y 6,000. el producto de estos dos números es 4800000. ¡Espero que esto ayude! salud.

Find the minimum sample size required to estimate the population proportion. Margin of error: 0.024; confidence level: 95%; p and q unknown?

Answers

Answer:

1667

Step-by-step explanation:

(Margin of Error)² = (z × 0.5)²/n

Where n = number of samples

Minimum number of samples formula = (z × 0.5)²/ (Margin of Error)²

From the above question:

Margin of Error = 0.024

z = z score of a 95% confidence interval = 1.96

Minimum number of samples

= (1.96 × 0.5)²/(0.024)²

= 0.9604/(0.024)²

= 1667.3611111

Approximately to the nearest whole number = 1667

Therefore, the minimum number of samples is 1667

Use the digits 1-5 to make the smallest whole number possible. Write your answer in standard, expanded, and word form.​

Answers

Answer:

1 in standard form, 1 in expanded form, and one in word form.

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest! Thank you! ;)

If SE = 7 and EG = 20 , then SG =

Answers

try 13 and if it’s wrong im sorry

Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 50 to 42

Answers

Answer:

16% decrease

Step-by-step explanation:

HELPPPP PRECALC WILL GIVE BRAINLIEST

Answers

Answer:

500

600

500

Step-by-step explanation:

Una lancha que viaja a 10 m/s pasa por debajo de un puente 3 segundos después que ha pasado un bote que viaja a 7 m/s, ¿después de cuántos metros la lancha alcanzará al bote?

Answers

Answer:

La lancha y el bote se encontrarán a 70 metros de distancia del puente.

Step-by-step explanation:

Sea el punto debajo del puente el punto de referencia y que ambas lanchas se desplazan a velocidad a continuación, las ecuaciones cinemáticas para cada embarcación son presentadas a continuación:

Bote a 7 metros por segundo

[tex]x_{A} = x_{o}+v_{A}\cdot t[/tex] (Ec. 1)

Lancha a 10 metros por segundo

[tex]x_{B} = x_{o}+v_{B}\cdot (t-3\,s)[/tex] (Ec. 2)

Donde:

[tex]x_{o}[/tex] - Posición debajo del puente, medido en metros.

[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Posición final de cada embarcación, medido en metros.

[tex]v_{A}[/tex], [tex]v_{B}[/tex] - Velocidad de cada embarcación, medida en metros por segundo.

[tex]t[/tex] - Tiempo, medido en segundos.

Para determinar la posición en la que ambas embarcaciones se encuentran, se debe determinar el instante en que ocurre a partir de la siguiente condición: [tex]x_{A} = x_{B}[/tex]

Igualando (Ec. 1) y (Ec. 2) se tiene que:

[tex]v_{A}\cdot t = v_{B}\cdot (t-3\,s)[/tex]

Ahora despejamos el tiempo:

[tex]3\cdot v_{B} = (v_{B}-v_{A})\cdot t[/tex]

[tex]t = \frac{3\cdot v_{B}}{v_{B}-v_{A}}[/tex]

Si sabemos que [tex]v_{B} = 10\,\frac{m}{s}[/tex] y [tex]v_{A} = 7\,\frac{m}{s}[/tex], entonces:

[tex]t = \frac{3\cdot \left(10\,\frac{m}{s} \right)}{10\,\frac{m}{s}-7\,\frac{m}{s}}[/tex]

[tex]t = 10\,s[/tex]

Ahora, la posición de encuentro es: ([tex]x_{o} = 0\,m[/tex], [tex]v_{A} = 7\,\frac{m}{s}[/tex] y [tex]t = 10\,s[/tex])

[tex]x_{A} = 0\,m + \left(7\,\frac{m}{s} \right)\cdot (10\,s)[/tex]

[tex]x_{A} = 70\,m[/tex]

La lancha y el bote se encontrarán a 70 metros de distancia del puente.

If 3(y + 12) = 24, find the value of 18y.

Answers

first divide both sides by 3 and you’ll get
(y+12)=8 “y” will then equal -4 as -4+12=8=8 so therefore 18y= -72
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