The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.

Answers

Answer 1

Answer:

The original length of each side of the equilateral triangle = x =15 inches

Step-by-step explanation:

Let Original length of side of equilateral triangle = x

If it is increased by 5 inches, the length will become = x+5

Since in equilateral triangle all the ides have same length so,

New Length of side 1 = x+5

New of side 2 = x+5

New Length of side 3 = x+5

Perimeter of triangle = 60 inches

We need to find the value of x

The formula used is: [tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3[/tex]

Putting values in formula and finding x

[tex]Perimeter=Length \ of \ side \ 1 \ + Length \ of \ side \ 2 \ + Length \ of \ side \ 3\\60=x+5+x+5+x+5\\60=3x+15\\60-15=3x\\45=3x\\x=\frac{45}{3}\\x=15[/tex]

So, the original length of each side of the equilateral triangle = x =15 inches


Related Questions

plz help!!
32 25 18 11 4
These are the first 5 terms of sequence
Find(a)6th term
(b)nth term
(c)which term is equal to -332

Answers

Answers

A 3

B t = -7n +39

C 51.571

It is declining!

32 to 25 decreases by 7

25 to 18 decreases by 7

18 to 11 decreses by 7

The sequence is linear!

39 is the 0th term and our numbers are decreasing by 7 each term.

t = -7n +39 is our equation

a) -7(6) + 39

-49 + 39

3

b) to find nth term replace the term with n in this equation:

t = -7n +39

c) -332 = -7n +39

Subtract 39 from both sides!

-361 = -7n

Divide both sides by -7!

n = 51.571

The 6th term will be equal to -3, the nth term of the sequence will be equal to -7n + 39 and the term will be the 53rd term.

What is the arithmetic sequence?

Two definitions are given for an arithmetic sequence. A "series where the variances in between every two succeeding terms are the same" is what it is.

Each term in an algebraic expression is created by multiplying its previous term by a specified integer (either positive, negative, or zero).

As per the given information in the question,

The sequence is given as:

32, 25, 18, 11, 4

(a)

a = 32

d = 25 - 32 = -7

n = 6

Then,

a₆ = a + (n - 1)d

a₆ = 32 + (6 - 1)(-7)

= 32 - 35

= -3

(b)

Find the nth term.

[tex]a_n[/tex] = a + (n - 1)d

= 32 + (n - 1)(-7)

= 32 -7n + 7

[tex]a_n[/tex] = -7n + 39

(c)

-332 = 32 + (n - 1)(-7)

-332 - 32 -7 = -7n

n = -371/-7

n = 53rd term.

To know more about the arithmetic sequence:

https://brainly.com/question/15412619

#SPJ2

1/2 dived by what equlels 4

Answers

Answer:

1/8

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

1/2 / ? = 4

1/2 / 4 = ?

1/2 = 4 x ?

1/2 / 1/8 = 4

calculators are sold to students for $20 each. 300 students are willing to buy them for that price. For each five dollars increase in price, there are 30 fewer students that are willing to buy the calculator.

a. what selling price will produce the maximum revenue?

b. what will the maximum revenue be?

Answers

La a ok bye nos vemos

You just got your first paycheck. The gross amount was $187.15, and the net amount was $150.55. The state tax, FICA, and Medicare totaled $17.60. How much was the federal income tax?
Your answer

Answers

Answer:

o.8

Step-by-step explanation:

Use the graph to solve the system of linear equations.

Answers

Answer:

there is nothin there -.-

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is no graph but the formula is y=mx+b

You look at real estate ads for houses in Naples, Florida. There are many houses ranging from $200,000 to $500,000 in price. The few houses on the water, however, have prices up to $15 million. The distribution of house prices will be:_____. a. skewed to the left.b. roughly symmetric.c. skewed to the right.

Answers

Answer:

d. skewed to the right with possible outliers

Step-by-step explanation:

The distribution of house prices will be skewed to the right with possible outliers. This is because the regular median prices are still fairly far apart from each other with roughly $300,000 in difference between them. Also since there are some extreme house prices also included that greatly surpass the normal range these would be considered outliers in the data set.

Find the value of a if [tex]\frac{x(x+a)}{x^2-9} =\frac{x}{x+3}[/tex]

Answers

Answer = a is -3
Hope this helps!

The rectangle has a length of 8 inches and height of 4 inches. The triangle has a base of 2 inches and height of 4 inches. What is the probability that a point randomly chosen in the rectangle is in the triangle? A StartFraction 1 over 8 EndFraction B One-fourth C Three-fourths D StartFraction 7 over 8 EndFraction

Answers

Answer:

yes

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

write the equation for the line that goes through the points (-8,2) and (7,7)

Answers

Answer:

y=3x+(0,4.5)

Step-by-step explanation:

i did this in my head, but the difference between -8 and 7 is 15. the difference between 2 and 7 is 5. it's rise over run so (15,5). that simplified is (3,1)/3. that is the slope. now you need a graph to see the y-int. the y-int is around 4.5.

Answer my question please

Answers

Answer:

Lol where the answer

Step-by-step explanation:

what is the answer?​

Answers

Answer:

2 hours

Step-by-step explanation:

two hours is the closest number to 0 they all reach.

You bake cookies for a bake sale. The ratio of chocolate chip cookies to oatmeal cookies is 3 : 10. You bake 20 oatmeal cookies. How many chocolate chip cookies do you bake?

Answers

Answer

6 chocolate chip cookies :)

Step-by-step explanation:

So this is VERY simple...

Oatmeal is OChocolate is C

3:10

C:O

and it says you bake 20 Oatmeal cookies

3:10

C:20

OR

3/10 is c/20

you multiply 2 on the bottom so you do the same thing on the top

3 x 3 = 6

Answer:

6 chocolate chip cookies!

Step-by-step explanation:

Nathan and Jordan design surveys to determine the average amount of time bicyclists in a race spend training each

week. Nathan surveys every fifth bicyclist crossing the finish line after a race. Jordan surveys the first five bicyclists to

finish the race. Which best explains which sample is likely to be the most valid?

Nathan's because his sample was more random

O Jordan's because his sample was more random

Nathan's because his sample contained elements of the population

Jordan's because his sample contained elements of the population

Answers

Answer: Nathan's because his sample was more random

Step-by-step explanation:

Nathan's survey could be described as a Systematic random sampling technique whereby every 5th observation taken as a sample from the population. With these technique we have a more random observation than with

Answer:

A

Step-by-step explanation:

Factor by grouping

8x2+6x+4x+3

Answers

Answer:

8x+6x+4x=18x 2+3=5

=18x+5

Answer:

19+10x

Step-by-step explanation:

16+6x+4x+3

19+10x

how many questions can i miss out of 25?

Answers

Answer:

if there are 25 questions, you can miss all of them. The ones you get right will give you 4 points.

Step-by-step explanation:

what is the value of third digit 6.56​

Answers

Answer:

The value of the third digit is 6 hundredths, think back to place values from second grade.

Look at the picture please don’t guess

Answers

Answer:5,6

Step-by-step explanation:

Please helpp anyone

Answers

Step-by-step explanation:

let equation of the line be y = mx + b.

m = - 100/60 = - 5/3

sub (0, 100):

100 = -5/3(0) + b

b = 100

therefore, y = -5/3x + 100

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

y = -5/3x + 100

Step-by-step explanation:

Find slope change in y over change in x

-100/60

-5/3

find y-int

100

y = -5/3x +100

What is the remainder when 3x2−7x+5 is divided by x+5?

Answers

Answer:

35 is the remainder

Step-by-step explanation:

have a good Thanksgiving tomorrow

y varies directly with x. When y = 16, X = 80. What does y equal when x = 125?
a.) 50
b.) 25
c.) 15
d.) 20

Answers

I think the answer is b

Answer:

25

The correct answer is 25

Solve using EQUATIONS (with step by step explanation)

3x+y=-9
y=5x+7

Answers

Answer:

3x+y=-9= 0 then y=5x+7=0

Step-by-step explanation:

Slope=−

2.000

6.000

=−3.000

x−intercept=−

3

9

=−3

y−intercept=−

1

9

=−9.00000

=

2.000

10.000

=5.000

x−intercept=

−5

7

=−1.40000

y−intercept=

1

7

=7.00000 i believe

what is a figurative language

Answers

Answer:

What does figurative language mean? Figurative language is language that's intended to create an image, association, or other effect in the mind of the listener or reader that goes beyond the literal meaning or expected use of the words involved.

Step-by-step explanation: an example is

Although it's often debated how many types of figurative language there are, it's safe to say there are at least five main categories. ... They are: metaphors, similes, personification, hyperbole, and symbolism.

Answer:

Figurative Language: A language that expresses something beyond its literal meaning

Hope this helped!

Pleasse help me with this

Answers

Answer:

Step-by-step explanation:

30% off of $18.00

so that makes the price $12.60

According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

Answer:

A, B, D

Step-by-step explanation:

What is the least integer that is a solution of 2r-4.4>-8.6?

Answers

Answer:

- 2

Step-by-step explanation:

2r - 4.4 > - 8.6

2r > - 8.6 + 4.4

2r > - 4.2

r > - 2.1

The least integer is - 2

Find the equation between the points (-8,0), (-5,5)

Answers

it is y = 5/3x if you do slope formula

5/6 k= -10 what is k equal

Answers

Answer:

k = -12

Step-by-step explanation:

5/6 k = -10

6 x 5/6 = 6 (-10)

5 k = -60

5k/5 = -60/5

k = -12

Answer:

k = -12

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

5/6k = -10

Step 2: Solve for k

Divide both sides by 5/6:                         k = -12

Step 3: Check

Plug in k to verify it's a solution.

Substitute:                         5/6(-12) = -10Multiply:                             -10 = -10

Marie has a container of oatmeal. She uses 1/4 cup of the oatmeal for breakfast and 3/8 cup for a cookie recipe. What is the total change in the amount of milk she has? Why are 1/4 and 3/8 represented with negative numbers on the number line in the example

Answers

Answer:

-5/8

1/4 and 3/8 are represented as negative because it depicts a decline or reduction in the initial amount

Step-by-step explanation:

Given that :

Breakfast = 1/4 cup of Oatmeal

Cookie recipe = 3/8 cups

Change in total amount had :

total amount used = (breakfast + cookie recipe)

= 1/4 + 3/8

= (2 + 3) / 8

= 5 / 8

Hence, change in amount had = - 5/8

1/4 and 3/8 are represented as negative because it depicts a decline or reduction in the initial amount

The equation of the line of best fit of a scatter plot is y = −5x − 2. What is the slope of the equation?

Group of answer choices

-5

-2

2

5

Answers

Answer:

-5

Step-by-step explanation:

Because y=Mx=b and m is the slope

Answer:

-5

Step-by-step explanation:

person above me

4x + 2 = 10 and 4x = 8

Answers

Answer:

4x=8,x=2

4x+2=10,x=1

Step-by-step explanation:

1). 4x + 2 = 10

2). subtract 2 on both sides

3). after that you will do ( 10 - 2 = 8 )

4). 4x = 8

5). Divide 4 on both sides

6) you final answer should be x= 2
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