The area of the triangle is
108 m². What is the value
of x?
xm
(x+6) m

The Area Of The Triangle Is108 M. What Is The Valueof X?xm (x+6) M

Answers

Answer 1

Answer:

x = 12

Step-by-step explanation:

Formula for area of a triangke is;

A = ½bh

Where;

b is base

h is height

From the triangle diagram given;

b = x + 6

h = x

Thus;

A = ½(x + 6)x

A = ½x² + 3x

Now we are told that the area is 108 m², Thus;

½x² + 3x = 108

Multiply through by 2 to get;

x² + 6x = 216

x² + 6x - 216 = 0

Using quadratic formula, we arrive at;

x = -18 or 12

x can't be negative, thus; x = 12


Related Questions

HELP!! please, quick!

Answers

A because if the answers are all determined then you would have to doactuakly see them in the number line

Answer:

The answer is B

Step-by-step explanation:

To rotate a figure 90 degrees clockwise the figure needs to be moved from (x,y) to (y,-x)

The original figure lies at A (5,5) B (5,1) C (2,1) D (1,5)

Rotating the figure 90 degrees clockwise would be A' (5-,5), B' (1,-5), C' (1,-2), D' (5-1)

Match each system of equations to its solution represented by an augmented matrix.

Answers

Answer:

Step-by-step explanation:

For each point on the unit circle, select the angle that corresponds to it.
Click each dot on the image to select an answer.

Answers

Answer:

A. ~30°

B. ~240°

C. ~330°

Step-by-step explanation:

PLEASE HELP URGANT
which is true?

Answers

Answer:

Step-by-step explanation:

B. A graph of 2 variables will have numerous points, they can be both positive and negative.

Taylor's cat runs 15 miles in 30 minutes. At this rate how far will her can run in 3 1/2 hours?

Answers

Answer:

105 miles

Step-by-step explanation:

15 miles in half an hour so 30 miles each hour

30 miles*3 hours=90 miles

90 miles+15miles= 105 miles in 3 1/2 hours

need help fast only 14 mins left

Answers

Answer:

V = 49 m³

Step-by-step explanation:

Volume in November 2015 = 6287 m³

Volume in August 2015 = 6238 m³

We need to find the volume of water used between August and November. It can be calculated as follows :

V = 6287 m³ - 6238 m³

= 49 m³

So, the required volume is 49 m³.

7 times m help helpp

Answers

7*m = 7m i think this is right
Yes 7 x m is equal to 7m

Please help due in 5 minutes !

Answers

Answer:

Step-by-step explanation:pentagon

Hexagon

Heptagon

Octagon

Nonagon

Decagon

I’m sorry if this is wrong

24 is 3/4% of what number

Answers

24 is 3/4 of the number 32

Answer:

32

Step-by-step explanation:

Alright, so think of the "what number" as x in this case. (Or any number/symbol you choose.)

So our simple equation looks something like this:

[tex]24= x *\frac{3}{4}[/tex]

So, to find out what the "what number" would be we'd flip the fraction around/find the reciprocal and multiply 24 by it. That gives us "x" or the number we're missing.

So: [tex]24 * \frac{4}{3} = x[/tex]

Doing the simple math we get:

[tex]24 * \frac{4}{3} = 32[/tex].

32 is your answer.

Hope this helps and have a nice day! Sorry I'm not great at explaining it!

Find the slope of the line that passes through


(7,-1) and (9,0)


Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

so to find the slope of two points you use the slope formula which is rise over run, y2-y1/x2-x1. so that would be -1-0/7-9. leading to -1/-2. so the slope is 1/2 or 0.5.

Lucky you it's sale time at Best Buy! This TV was originally $229 it's now on sale for 25% off. How much is the TV now?

Answers

Answer:

0.000725 i think :)

Step-by-step explanation:

   Divide the number by 100 (move the decimal place two places to the left).

   Multiply this new number by the percentage you want to take off.

Answer- 171.75
You multiply your original cost (229) by the percent it’s on sale for (.25) then you get $57.25. That is how much is being taken off of the original price so you would subtract 229 by 57.25 to get your answer of $171.75.

The value of x =
60°
5
x
30°

Answers

Answer:

10

Step-by-step explanation:

with reference angle 30°

perpendicular (p) = 5

hypotenuse (h) = x

Now

sin 30° = p / h

1 / 2 = 5 / x

x = 10

Hope it will help :)

Arun's family took a road trip to Niagara Falls. Arun fell asleep 69% of the way through the trip. If Arun fell asleep after they had travelled 690 miles, what was the total length of the trip?​

Answers

1,000 miles, also is this some sort of joke question?

I need Help with this
Fabiola's special seasoning mix has three ingredients. The recipe uses 4 parts thyme, 3 parts parsley, and 1 part green onion. If she is making 24 tbsp. of the mix, how many tbsp. of parsley does she need?
3
5
15
9

Answers

Answer: 9

Step-by-step explanation: First, you find how many parts are needed. 4+3+1=8

So, we then divide 24 by 8 to find out what one part is. This is 3

As she needs 3 parts of parsley, we multiply 3 by 3 (each part) to get 9 tbsp.

Fabiola's special seasoning mix of 24 tbsp. needs 9 tbsp. of parsley.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Fabiola's special seasoning mix has three ingredients. The recipe uses 4 parts thyme, 3 parts parsley, and 1 part green onion.

Let, 'x' be the ratio multiplier.

Therefore, 4x + 3x + x = 24.

8x = 24.

x = 3.

So, She needs 3×3 = 9 tbsp. of parsley.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2


question “If y =5, what is the value of the following expression

7+2y²

Answers

Answer:

57

Step-by-step explanation:

Hey there!

To find the solution, plug in 5 for y. When you do this you get, 7+2(5)². Square the 5 to get 25. And then you att 7+2(25). 25 x 2 is 50. 50 +7 is 57.

Hope this helps :)

Answer : 57

Step-by-step-explanation: I answering this for the points : )

6) solve the equation for m

Answers

Answer:

m=48

Step-by-step explanation:

m/3=18-2

m/3=16

m=16x3

m=48

Answer:

m=48

Step-by-step explanation:

Subtract 2 from both sides

2+m/3-2=18-2

Simplify

m/3=16

Multiply both sides by 3

3m/3=16*3

simplify

m=48

Solve the simultaneous equations
y = 2x^2
y = 3x + 14

Answers

Answer:

x = -2

And, x = 7 ÷ 2

Step-by-step explanation:

Given that

y = 2x^2

y = 3x + 14

Now equate these two above equations

2x^2 = 3x + 14

2x^2 - 3x - 14

2x^2 -7x + 4x - 14

x(2x - 7) + 2(2x - 7)

(x + 2) (2x - 7)

So it can be x = -2

And, x = 7 ÷ 2

PLEASE HELP IM STRUGGLING IN MATH!! THANK YOU!!!!❤️

Answers

Answer:

$5193.77

Step-by-step explanation:

You want to figure out what x is.

Since x is the number of years after 1996, you can do 2005 - 1996 = 9 years.

Then, plug x = 9 into the equation:

y = 11,000(0.92)^9

Plug this into a calculator and you get: y = $5193.77

PLEASE HELP!!

What is the y-intercept?

Answers

Judging by your graph, it should be 30 :)

Answer:

y- intercept = 30

Step-by-step explanation:

The y- intercept is the value on the y- axis (vertical) where the graph crosses

Each square on the vertical has a value of 10

The graph crosses the vertical axis 2 squares below 50.

Then y- intercept = 30

Can someone answer this please with an explanation.

Answers

Answer:

x=92

Step-by-step explanation:

those to angles are supplementary meaning that they add up to equal 180

so you set up the equation 180=x+x-4

180=2x-4

step 1 add 4 to each side

184=2x

step 2 divide each side by 2

x=92

so the angles equal 92 and 88

Answer:

92°

Step-by-step explanation:

180 degrees on a straight line.

2x - 4 = 180

2x = 184

X = 92°

Find the measure of angle CXD

Answers

Answer:

the answer is 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

as u see it kinda looks like obtuse lol but if u do the work u can see its actually 100.

A quantity with an initial value of 380 decays exponentially at a rate of 1% every 4 hours. What is the value of the quantity after 174 minutes,

Answers

Answer:

377.24

Step-by-step explanation:

Leandro wants to estimate the proportion of light bulbs that arrive broken upon shipment to his store. He
takes a random sample of 500 bulbs and finds that 25 arrived broken. He's willing to assume independence
between bulbs in the sample.

Answers

Answer:0.05+1.645v0.05(0.95)/500

Step-by-step explanation:

. Toby invested £4500 for 2 years in a savings account. He was paid 4% per annum COMPOUND
interest. How much did Toby have in his savings account after 2 years?

Answers

Answer:

£4867.2

Step-by-step explanation:

Given data

P= £4500

T=2 years

R= 4%

The compound interest expression

A=P(1+r)^t

substitute

A= 4500(1+0.04)^2

A=4500(1.04)^2

A=4500*1.0816

A=£4867.2

Hence the balance is £4867.2

Answer:

P(1+r/100)^n - P

4500(1+4/100)^{2}-4500 =367.2

Step-by-step explanation:

Graph the relation. Is the relation a function? Why or why not?
{(-5, 6), (-2, 3), (3, 2), (6, 4)}

Yes; there is only one domain value for each range value.

Yes; there is only one range value for each domain value.

No; a domain value has two range values.

No; a range value has two domain values.

Answers

Answer:

Yes; there is only one range value for each domain value.

Step-by-step explanation:

For a relation to be a function, every input, x-value, needs to have a unique output, y-value. This means that one x-value cannot have multiple y-values. So, in a function x-values will never repeat. Since x-values do not repeat in this relation, it is a function.

Help please (((((((((((((((((((

Answers

Answer:

4

Explanation:

sum of interior angle= 180°

10x= 180- (80+60)

10x= 180- 140

10x= 40

x=40/10

x= 4

PLEASE MARK ME AS BRAINLIEST!!!!

Answer:-

[tex]\pink{\bigstar}[/tex] Value of x is [tex]\large\leadsto\boxed{\tt\purple{4}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Knowledge Required:-

The sum of all the interior angles of triangle sum upto 180°.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution:-

Using the above knowledge we say that the angles of the given traingle should sum upto 180°.

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 80^{\circ} + 60^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 140^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 10x^{\circ} = 180^{\circ} - 140^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 10x^{\circ} = 40^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \dfrac{40^{\circ}}{10^{\circ}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \cancel{\dfrac{40^{\circ}}{10^{\circ}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\large{\bold\red{x = 4}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the value of x is 4.

Find the 75th term of the arithmetic sequence -17, -13, -9....

Answers

Answer:

The 75th term of the arithmetic sequence -17, -13, -9.... is:

[tex]a_{75}=279[/tex]

Step-by-step explanation:

Given the sequence

[tex]-17, -13, -9....[/tex]

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]-13-\left(-17\right)=4,\:\quad \:-9-\left(-13\right)=4[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=4[/tex]

The first element of the sequence is:

[tex]a_1=-17[/tex]

now substitute [tex]d=4[/tex] and [tex]a_1=-17[/tex] in the nth term of the sequence

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_n=4\left(n-1\right)-17[/tex]

[tex]a_n=4n-21[/tex]

Now, substitute n = 75 in the [tex]a_n=4n-21[/tex] sequence to determine the 75th sequence

[tex]a_n=4n-21[/tex]

[tex]a_{75}=4\left(75\right)-21[/tex]

[tex]a_{75}=300-21[/tex]

[tex]a_{75}=279[/tex]

Therefore,  the 75th term of the arithmetic sequence -17, -13, -9.... is:

[tex]a_{75}=279[/tex]

F Which conditions are sufficient to prove a quadrilateral is a square?
1. All four sides are congruent.
II. The diagonals are congruent.
III. The diagonals bisect each other.

A. l only
B. l and II
C. l and III
D. ll and III​

Answers

Answer:

I think the answer is a .

Identify the missing term of the sequence
1,8, 27, a4, 125, 216, ...
54
64
76
88

Answers

Answer:

64

Step-by-step explanation:

4³ = 64

Please help it's due today. Also if you don't know please don't answer.​

Answers

I believe it's x= 20, hopes it help!

Answer:

x=20

Step-by-step explanation:

4 5 x

( 3 ) = 3

20 x

3 = 3

x = 20

Other Questions
What volume, in liters, does 128 grams of O2 occupy at STP?89.6 L22.4 L67.2 L44.8 L what are the external elements that bring change in relief? What 3 systems get put to work when a beaver is building a home and how? in anime testers it says "what is sasuke's most used jutsu" WHAT IS IY THERE ARE SO MANYYYYY Use the periodic table to determine which of thefollowing could be an isotope of bromine (Br).Check all that apply.Z = 79, A = 196Z = 35, A = 79A = 79, N =44D Z = 44, N = 44DONE 1. -3(-2-4-0)+3-(3-5-7)= 7m - 17 = - 24what is m? Honor codesnicole752 avatarsnicole75202/07/2020PhysicsMiddle SchoolansweredStick a fork into each end of the root vegetable as shown. The forks should be on the same side of the vegetable, andslightly angled away from each other. Place the forked vegetable on the edge of a box or thin wall with the forks hangingdown. Does the forked vegetable balance in any position? Is there a position that works better than another? Explain.The picture is a picture of a potato with two forks on the side facing outward. Please Help!!!! Due today Clearer picture Why did the United States negotiate the jay treaty with Britain? Which of these details support the central idea ? " An accidental invention " Ill give your 25 points if you write me couple of sentence of what to write/say about animals. Like.... relate to them... I am doing a speech about animals and I need couple of sentence (2-3 maybe) of how I should relate! describe a difference in our inner planets and outer planets I WILL MARK BRAINLIST AND THANKSImagine you were a business owner. Identify and discuss 2 reasons why the safety of your workers in the workplace should be an important issue? PLZ HELP T^T TITLE:What Is Communism?What is communism? Communism was a plan designed to makeeveryone equal and to give power to the average working man. A Germaneconomist, Karl Marx, explained his idea of communism in his book "TheCommunist Manifesto," written in 1848. There is both an economic andpolitical aspect (side) to communism.In understanding the economic aspect, Marx declared that manyproblems in society are due to the unoqual distribution of wealth (manypoor and few rich). To bring about happiness and prosperity for all, the differences between the rich and poor must be eliminated and everyone should be equal(equality), which means you have to get rid of private ownership of property and business (privateenterprise). So, in Marx theory of communism, everyone owns everything, and the economy isowned and run by the govt. (socialism). And since the rich will never give up their goods or thepower they get from their wealth voluntarily, a rebellion of the poor -- the working class - isnecessary.Who will run the govemment, the political side of communism -- the people. But in practice,the govt is run by one or a few powerful leaders (dictators who represent the people andtherefore there is no need for other political parties. Therd Pay be elections, but only candidatesfrom the communist party can ran. Any other party would not represent the interests of all thepeople, i.e., ensure that all people benefit from the wealth of the country. The govt will takewhatever steps are necessary to ensure they maintain total control of the economic and political(govt) life of the country. In return, they will provide for the basic needs of all people (equality).The first country to be ruled by a communist government was Russia, (USSR). VladimirLenin, established rule by the Communist Party in Russia in the early 1900's through a revolutionthat overthrow the monarch. Russia had been ruled for centuries by a monarch, he was called the"czar." Most Russians labored on farms for little money, no education, and little hope ofimproving their lives or those of their children. Many people, while not believers in communism,wanted a government that would improve their difficult lives. The idea that communism wouldprovide that hope was popular among many.People in Russia were forced to do the work that the government dictated (said), and violenceagainst Russian citizens became common. Many poor citizens saw improvements in their livessuch as free education, basic health care, food and housing provided by the government. Othersexperienced the violence the government used against anyone they thought did not approve oragree with their role or the ideas of communism. Millions were sent to prison camps, executed,and others saw their businesses, homes, and farms taken by the government because undercommunism, the people, not, individuals own everything. Private ownership of businesses arenot allowed under a communist system. What is democracy? Please help me I really need help please help plz ill give extra points An air mass acquires the temperature and humidity of its source region.TrueFalse (7x-8)(-1) PLEASE HURRY ITS A TIMED QUESTION !!!