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

Which of the following is a Platonic solid?
A torus
B. sphere
C. tetrahedron
D. cylinder

Answers

Answer:

c. tetrahedron

Step-by-step explanation:

Hey can you help me out with this problem?

Answers

Answer:

10

Step-by-step explanation:

20/2=10 smores

A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, “$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!” What do you think?

Answers

Look at this . This will make you forget about the question .

Can someone explain how the following Matrix can be multiplied? I thought the column of the first matrix had to match the row of the second and the row of the first had to match the column of the second. I how the matrices listed below as (1x3) and (3x3) respectively. Yet my online Pre-cal course says it's possible. Please explain why this is so.

Answers

You are correct in thinking that the columns of the first matrix must match with the rows of the second matrix.

So for example, we can multiply a 1 x 5 matrix with a 5 x 7 matrix. The two matching '5's are directly what make multiplication possible in this case. For your problem, the first two '3's match and multiplication is possible.

The rows of the first matrix don't need to match with the columns of the second matrix.

please help with these question, giving brainliest :)

Answers

Answer:

Step-by-step explanation:

120-20/10+2
help quick due in 10 min

Answers

[tex]120 - \frac{20}{10} + 2 \\ 120 - 2 + 2 \\ = 120[/tex]

Answer:

120

Step-by-step explanation:

120-20/10+2

=120-2+2

=120

Kyle, Meg & Dan share some money in
the ratio 3:2:7
What fraction of the money does Meg get?

Answers

Answer: 1/5 of the money

Step-by-step explanation:

The ratio shows that Kyle gets 3 parts of the money, Meg gets 2 parts of the money, and Dan gets 7 parts of the money.  Simple addition lets us know there are 10 parts of the money, and because Meg got 2 of them, she has 2/10ths of the money, or 1/5.

Hope it helps :) and let me know if you want me to elaborate.

Ayuda por favor, no quiero reprovar

Answers

Con qual y re toma la photo porfa.

What number is 15.26 more than the difference of 346.18 and 215.37?

Answers

Answer:

146.07

Step-by-step explanation:

Let's take this question one step at a time. First, we'll find the difference of 346.18 and 215.37. This is equivalent to 130.81. Then, we have to find the number that's 15.26 more than 130.81, and this is equivalent to 146.07. So, our final answer is 146.07.

If you have any further questions, let me know!

Jada had some dimes and quarters that had a total value of $12.50

Answers

Answer:

1.She has 115 dimes because 0.10*115=11.5 0.25*4=1.00 11.5+1.00=12.5

2.She has 100 dimes because 0.10*100=10.00 and 0.25*10= 2.5 10+2.5=12.5

3.I think they don’t function because quarters are worth more than a dime.

4.he has 40 quarters because 0.25*40=10.00 0.10*25=2.5 10.00+2.5=12.5.

5.She has 38quarters because 0.25*38=9.5 0.10*30=3 9.5+3=12.5

6.Yes they can function because q=dx-12.5

The Questions:

Question 1 - 1 pts

If Jada has 4 quarters, how many dimes does she have?

Question 2 - 1 pts

If Jada has 10 quarters, how many dimes does she have?

Question 3 - 1 pts

Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.

Question 4 - 1 pts

If Jada has 25 dimes, how many quarters does she have?

Question 5 - 1 pts

If Jada has 30 dimes, how many quarters does she have?

Question 6 - 1 pts

Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.

The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 48. Find the two integers.​

Answers

Answer:

4 and 6 or -6 and -4

Step-by-step explanation:

Let the numbers are 2x and 2x + 2.

We have:

(2x + 2x + 2)² = (2x)² + (2x + 2)² + 484(2x + 1)² = 4x² + 4(x + 1)² + 48(2x + 1)² = x² + (x + 1)² + 124x² + 4x + 1 = x² + x² + 2x + 1 + 122x² + 2x - 12 = 0x² + x - 6 = 0(x - 2)(x + 3) = 0x = 2, x = -3

The numbers are:

4 and 6 or - 6 and - 4


Question:What is the equations of this function?

Plz help will give brainiest

Answers

The answer the the graph is -2x^2.

jasmine's cell phone company charges her $35 for the month plus an additional $1.50 for everyday she goes over her data. this month, she was charged $44. how many days did she go over her data?

Answers

Answer:

6 days

Step-by-step explanation:

$44 - $35 = $9

$9/$1.50 = 6 days

In the coordinate plane, point A(-1,-1) is translated to point A' (-3.-3). Under the same translation, the points B(-4,-4) and C(5.-5) are translated to B' and C' respectively. What are the coordinates of B' and C'?

Answers

Answer:

B' (- 6, - 6 ) , C' (- 7, - 7 )

Step-by-step explanation:

Consider the coordinates of A and A'

A (- 1, - 1 ) , A' (- 3, - 3 )

- 1 to - 3 in both the x and y direction means subtracting 2 units , then

translation rule is

(x, y ) → (x - 2, y - 2 ) , then

B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )

C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )

hi please help :)????​

Answers

there's not information for me to help. what are the choices in the word box?

If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.

a) 15.8 cm
b) 14.2 cm
c) 12 cm
d) 19.2 cm​

Answers

Hello Carousel!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

If the diagonals of a rhombus are of length 24 & 32 cm, find the altitude of the rhombus.

a) 15.8 cm

b) 14.2 cm

c) 12 cm

d) 19.2 cm

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Please refer to the attached picture for the answers with steps included.

NOTE :-

The sides of a rhombus are equal to each other.The point of intersection of the diagonals (marked as O in the figure) forms 90° angles (which is why we used the pythagoras property to solve the question).Since 0 is the point of intersection, it's also the midpoint of the diagonals. (So, BO = ½ × BD & AO = ½ AC -- we used this to solve the question).

__________________

Hope it'll help you!

ℓu¢αzz ッ

3 pls pls pls help me

Answers

Answer:

I think the answer is c

Step-by-step explanation:

the simple interest on $700 for 2 years at 10% is ?​

Answers

Answer:

140

Step-by-step explanation:

∫P=700

∫T=2

∫R=10% after a few calculating you get 140.....the answer is right just sorry for my bad explaining

Which is greater 1.44 or 1.2544

Answers

Answer:

1.44

Step-by-step explanation:

Answer:

1.2544

Step-by-step explanation:

It is closer to 1 than the latter.

Parallel to y= -3/4x + 1 passes through (8,5)

Answers

Answer:

y=-3/4x+11

Step-by-step explanation:

Graph the point and draw a line having -3/4 as a slope and see what the y intercept of that same line is. Then that y intercept goes after the -3/4x in the new equation.

add the expression (1/4x - 4 + 2y) + (2/5x + 5 - 4y)

Answers

Answer:

=  13/ 20 x  −  2y+1

Here's your answer, I hope you enjoy.

It is first down in a football game. Your team has the ball at your 25-yard marker, and the play is a successful run for 6 yards.

Where does the ball end up? Where is the ball relative to where it started? Use the number line to find the answer.
Enter the correct answers in the boxes.

Answers

Answer:

the ball would be at the 31 yard line, because you are moving 6 yards closer to midfield which would be 50, and the end zone if he ran all the way there would be 69 more yards

need help!! I would give you brainliest if it is correct <3

Answers

Answer: No

Step-by-step explanation:

7/8÷2/3= __
can i get only the answer

Answers

Answer:

21/16

Step-by-step explanation:

hope it hepls pa brainlest na din po

Answer:

in fraction= 1 5/16

in decimal = 1.3125

I need helppp plzz
i'll brainliest

Answers

Answer:

Step-by-step explanation:

Since B is the midpoint, AB must be equal to BC.

AB = BC

7x - 4 = 3x + 32

Isolate the variable

7x - 4 = 3x + 32

4x = 36

x = 9

Now solve for one side.

AB = 7x - 4

AB = 7(9) - 4

AB = 59

Since both sides are equal, finding AC just means multiplying one side by 2.

AC = AB * 2

AC = (59) * 2

AC = 118

You can double check by finding the other side and multiplying by 2.

BC = 3x + 32

BC = 3(9) + 32

BC = 27 + 32

BC = 59

AC = BC*2

AC = 59*2

AC = 118

Let me know if you have any questions!

in a sale, a clothes shop reduces its price by 45%.a shirt usually costs $27how much is it on sale?

Answers

it cost $14.85 because 27x0.45=12.15
27.00
-12.15= 14.85

The sixth-grade classes have 28, 20, 30, and 25 students. What is the mean number of students in a class?

Answers

Answer:

25.75

Step-by-step explanation:

mean=sum of all numbers/number of numbers given

we have 4 numbers given 28,20,30 and 25

mean=28+20+30+25/4

mean=103/4

mean=25.75 :)

Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6.

Answers

Answer:

The answer would be negative 8 because -8 + 5 = -3 and -3 x -2 = 6

Step-by-step explanation:

The answer would be negative 8 because -8 + 5 = -3 and -3 x -2 = 6

3 over 7 = blank over 35

Answers

Answer:

15/35

Step-by-step explanation:

7 x ? =35

7 x 5 =35

whatever you do to the bottom , you do to top so you times 3 by 5.

3 times 5 = 15, therefore, it is 15/35

Answer:

15 over 35

Step-by-step explanation:

35/7 = 5

5*3 = 15

then:

3/7 = 15/35

findthe classification schemes of a fungues​

Answers

Step-by-step explanation:

The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.

Other Questions
Isaac wants to play miniature golf. Go Golf charges $2.50 for ball and club rental and $4.25 per game. Golf Games charges $3.25 for ball and club rental and $8.50 for two games. For how many games would the cost be the same? Write and solve an equation to determine the number of games for which the cost would be the same. What is the Adjective Phrase of the following sentence. He was wearing a crown made of gold.HELP PLZZ 5 is to 1 as 0.5 is toA. 1 B. 0.1 C. 0.01D. 5 E. 0.5F. 0.15 will give Brainliest Select two sentences which demonstrate that it was difficult to get states to ratify the Constitution.Question 1 options:"Because of their experiences with the British government, the colonists had limited the power of the United States central government under the Articles.""After more than two years of discussions, James Madison proposed amendments, or additions, to the Constitution that would protect a citizen's rights.""It soon became clear that some statesespecially big states such as Massachusetts, New York, and Virginiawere not ready to adopt the Constitution.""Respected people, or delegates, from all the colonies except for Rhode Island met in Philadelphia in 1787 to create a new constitution.""The list included the right to speak freely, to worship freely, to have fair searches, and to have a trial by jury." During the middle of the 19th century, an American militia member was found to be a British spy who was sent to the United States by the King England. Since he was found to be a traitor, he became an American political prisoner. What sort of punishment was he MOST LIKELY sentenced to, given the time and place of his crime and sentence?RehabilitationCapital punishmentIncarcerationdeterrence whats the meaning of chemical List some of the negative side effects from performance enhancing drugs? (3marks) Which property is shown in the expression below ?7ab(5-8c) = 35ab-56abcA.Associative PropertyB.Commutative PropertyC.Distributive PropertyD.Indentity Property how to make money online without paying anything 2020 pls help - Riddle: The person who makes it has no need of it; the person who buys it has no use for it. The person who uses it can neither see nor feel it. What is it? Please answer me please Kaibigan, huwag kang mag alala kung mas mababa pa sa 12 ang iskor mo, dahil ito ay pagsubok lamang sa iyong kaalaman, Ngunit bago tayo magpatuloy isulat mo muna ang iyong naramdaman habang sinasagot ang mga katanungan sa itaas, GAWAIN 1: SELF CHECK Naramdaman ko habang sinasagot ko ang Subukin ang A drug addict is far more likely to end up in a car crash or other type of accident that may result in serious or even fatal injuries Unless he changes his way of behavior, he will lose his job---> If Choose all of the ordered pairs that are solutions to the equation y = x2 + 1.A. (-2, 5)B. (-1,0)7. (1, 2)D. (2, 4)E. (3, 10) For which of the following equations is x = -4 a solution? jassons face gets flushed and his heart beats fast every time he walks into his physics class. however, jasson has never really liked science, so he does not think that his reaction is due to the class. instead, he decides that he must be attracted to his lab partner. jassons misattribution of his arousal in an attempt to explain the excitement he feels is consistent with which theory of emotion? Calculate the pOH of an aqueous solution of .0.073 M LiOH main disadvantages of rejoining Paris agreement