Mathematics High School

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

pls help!!! i will give brainliest!!!!! :D

Answers

the answer equals 29.

Answer:

31 cm

Step-by-step explanation:

the scatterplot is rising, so based on an assumption of where a line going through the scatterplot is going to go, you get 41

Kent has already saved $150 and he plans to save $20 every week. Proportional or Non-proportional

Answers

Answer:

this problem is  Non-proportional

Step-by-step explanation:

hope this helps

I forgot how to do this. Please help!

Answers

Answer:

It's just a line with a slope of 0 at y= -5

NEED help asap please find the percentage

Answers

Hope this helps, have a nice day!!

The perimeter of the rectangle below is 104 units. Find the length of side RS.

Write your answer without variables.

S

3z

R

4z + 3

RS = ]

х

P

Q

Answers

Hhhhh hhhhhh hhhfddh yuh

Determine the effective annual yield for $1 invested for 1 year at 3.7% compounded semiannually.
10%

Answers

Answer:

$0.035

Step-by-step explanation:

Complete the explanation of whether the graph represents a proportional or a nonproportional
relationship
5
Х
XA
O
5
이
5
The graph represents a (select)
relationship

Answers

Answer:

Non Proportional

Step-by-step explanation:

As it does not pass through the origin.

A contractor bought 12.6 ft? of sheet metal. He has used 2.1 ft? so far and has $210 worth of sheet metal remaining. The equation 12.6x-2.1x = 210 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?​

Answers

Answer:

$20

Step-by-step explanation:

12.6x-2.1x=210

10.5x=210

x=210/10.5

x=20

A sunflower is 15 inches tall and grows 2 inches a week. How many weeks will it take for the
Sunflower to be 23 inches tall?
Need help making an equation!!

Answers

Answer:

4 weeks

Step-by-step explanation:

15 + 2x = 23

2x = 8

x = 4

4-1/4 with no decimal point​

Answers

Answer:

4-25

Step-by-step explanation:

Perform the operation. Enter your answer in scientific notation.
(7 x 10^*9)(5.6 x 10^*8)

Answers

Answer:

3.92 × 10 ^18

Step-by-step explanation:

(7 x 10^*9)(5.6 x 10^*8)

(7000000000)(560000000)

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10

If the decimal is moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

what is the answer to 7 1/3 + 5 4/5

Answers

Answer:

13 2/15

Step-by-step explanation:

Solve for the value of x that makes likes r and s parallel.

Answers

x=r*s in order to make it parallel u must add r and s

WILL GIVE BRAINLIEST. determine the rule for the table and complete it.

Answers

Answer:

see explanation

Step-by-step explanation:

From the table

1 → - 2 ⇒ 1 - 3

2 → - 1 ⇒ 2 - 3

3 → 0 ⇒ 3 - 3

The rule is subtract 3 from the input to obtain output , then

4 → 4 - 3 = 1

n → n - 3 ← is the general rule for the table

Someone help me and answer these ASAP PLS

1. What are the three major responsibilities of the county commissioners?

2. What are the three major responsibilities of the county sheriff?

3. What is the fundamental purpose for county government?

Answers

Answer:

1. The powers include: budgeting and appropriation of funds for all county activities; building and maintaining county roads; making and enforcing civil and criminal resolutions and ordinances not in conflict with state law, including those for land use and building construction; supporting and implementing.

2. Serves as a licensed peace officer and is responsible for enforcing the criminal laws of the state. Manages and operates the county jail. Provides security for the courts.

3. County governments perform essential administrative functions such as registering voters, supervising elections, keeping records, providing police protection, and administrating health and welfare services.

Step-by-step explanation:

SOMEONE PLEASE HELP!!
I need someone to explain how to simplify radicals.
The picture is attached

Answers

Answer:

35√2

Step-by-step explanation:

[tex]5\sqrt{98}[/tex] = [tex]5\sqrt{2*49}[/tex] = 5 × √2 × √49 = 5 × 7 × √2 = 35√2

Factorize; x cubed - x squared y ?
ASAP, please

Answers

Answer:

x²(x - y)

Step-by-step explanation:

x³ - x²y ( x² is common to both terms so factor it out )

= x²(x - y)

Simplify
[tex] \frac{ {x}^{2} - 9 }{ {x}^{2} - 3x} [/tex]
CORRCET ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+RECEIVE 34 POINTS

Thanks xx​

Answers

Here you go, if you have any questions please ask

hello can anyone help with this?

The distance between Heysham and the Isle of Man is 80 km.
A hovercraft travels at 50 km per hour.
How long does the journey take?

Answers

50/1 =80/x
50x=80
Divide both sides of the equal sign by 50 to get variable by itself
x= 1.6
Your answer is 1.6 of an hour for the journey

Answer:

1 hour 36 minutes

Step-by-step explanation:

Amount of time the journey takes = 80km ÷ 50km/h

                                                        = 1.6h

                                                        = 1h 36mins



You have no more than $60 to spend. You want a drink that costs $1.50 including tax, and you

want to buy a pair of pants, which will have 4% sales tax. What is the inequality that represents

the pre-tax price of a pair of pants that you can afford if you buy the drink? *


X + 0.04x + 1.50 > 60

X + 0.04x + 1.50 2 60

X + 0.04x + 1.50 60

X + 0.04x + 1.50 60

Answers

Answer:

X + 0.04x + 1.50 > 60

Step-by-step explanation:

i need help with this fast

Answers

Answer:

68

Step-by-step explanation:

the reason it is 68 is because its a reflection on the other side which that line is there also represents the other side so it is 68.

Find the slope of the line through each pair of points.
(−13, −19), (13, 3)
Find the slope of each line.
y = 2x − 1

Answers

Answer:    slope = ¹¹/₁₃ Step-by-step explanation:    

      The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)      

                                          =  ((3 - (-19)) ÷ (13 - (-13))      

                                          =   22 ÷ 26

                                          =  ¹¹/₁₃

Checking my answer:

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.

                                ⇒  y + 19 =  ¹¹/₁₃ (x + 13)

I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.

Help me!
A 180
B 115
C 65

Answers

Answer:

ik this

Step-by-step explanation:

i believe its 180

Answer: B) 115

Step-by-step explanation: i hop this help if not sorry :(

can someone help please? u dont have to show work so dont mind that

Answers

Answer:

Factor the numerator and denominator and cancel the common factors.

x/4+3/2 or 32/4  or Reduce the expression, if possible, by cancelling the common factors. 8 is your final answer

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

First, you substitute.

x + 6 / 4

26 + 6 / 4

Then, you add.

26 + 6 = 32

Finally, you divide.

32 / 4 = 8

Answer: 8

After a 25% discount the price of a T shirt was $12 what was the price before the discount?

Answers

Answer:The price before the discount is $ 16The population last year is 5280Solution:B) After a 25% discount, the price of a T-shirt was $12.

Step-by-step explanation:G

Answer:

$16

Step-by-step explanation:

25% is equal to 1/4.

1/4 of 16 is 4.

so if you subtract 4 from 16, it equals 12.

have a lovely day <3

On a certain hot​ summer's day, 557 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totalled $1146.75. How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

Adults:193

children:295

Rick bought 3 apples and 2 oranges for a cost of $1.55. Kim bought 4 apples and 3
3
oranges for a cost of $2.15. Find the cost of one apple.

Answers

Apples cost $0.35 each

Apples = x
Oranges = y

3x + 2y = 1.55
4x + 3y = 2.15

I like the substitution method
2y = -3x + 1.55
y = -1.5x + 0.775

4x + 3(-1.5x + 0.775) = 2.15
4x - 4.5x + 2.325 = 2.15
-0.5x + 2.325 = 2.15
-0.5x = -0.175
x = 0.35

5(+25)=875

lets see who will get it right​

Answers

Answer:

X = 150

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

X=150

Step-by-step explanation:

How to write sin and cos and all?

Like should they be in first letter uppercase, or whole lowercase?

My maths teacher is writing with first letter uppercase, but I see many YouT.ubers and all writing it in fully lowercase! so someone clear it up and pick me out of this puzzled condition....

Answers

Any cosine function can be written as a sine function. y = A sin(Bx) and y = A cos(Bx). The number, A, in front of sine or cosine changes the height of the graph. The value A (in front of sin or cos) affects the amplitude (height).

how do I solve 8 - 4x + 5y when x = -2 and y = 6

Answers

8 - 4(-2) + 5(6)
8 + 8 + 30
=46
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