Determine the value for x in the picture below.
Please help me

Determine The Value For X In The Picture Below.Please Help Me

Answers

Answer 1

Given:

The figure of a right angle triangle.

A line segment intersect the two sides and parallel to third side of the triangle

To find:

The value of x.

Solution:

According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.

Using basic proportionality theorem, we get

[tex]\dfrac{8}{20-8}=\dfrac{6}{x}[/tex]

[tex]\dfrac{8}{12}=\dfrac{6}{x}[/tex]

[tex]\dfrac{2}{3}=\dfrac{6}{x}[/tex]

On cross multiplication, we get

[tex]2\times x=6\times 3[/tex]

[tex]2x=18[/tex]

[tex]x=\dfrac{18}{2}[/tex]

[tex]x=9[/tex]

Therefore, the value of x is 9.


Related Questions

WILL GIVE BRAINIEST ONLY IF YOU GET IT RIGHT!!!!

Answers

Answer:

x = 15

Step-by-step explanation:

20^2 + x^2 = 25^2

400 + x^2 = 625

subtract each side 400

it results to 225

square root 225, to equals this -->

X = 15

Answer:

15

Step-by-step explanation:

If the measures of Arc=122 find the measure of angle b

Answers

Answer:

∠ B = 61°

Step-by-step explanation:

The inscribed angle B is half the measure of its intercepted arc, then

∠ B = [tex]\frac{1}{2}[/tex] × 122° = 61°

find the area of the circle. leave your answer in terms is pi.

a. 9
b. 324
c. 82
d. 18

Answers

Answer:

9

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

9×2 =18 or 9+9=18 I haven't done this since 6 grade sorry if I got it wrong


True or False: The hypotenuse can be one of the two legs of a right triangle.
True
O False

Answers

Answer:

False

Step-by-step explanation:

The hypotenuse is not either of the two legs but is opposite of the right angle.

The answer is false because a hypotenuse is the longest side of a right triangle

What is the oblique asymptote of gx) = x2-3x-5?
O y = x + 5
O y = x – 5
O y = 5x
O y = -5x

Answers

Answer:

B) [tex]y=x-5[/tex]

Step-by-step explanation:

Because [tex]g(x)=\frac{x^2-3x-5}{x+2}[/tex] simplifies to [tex]x-5+\frac{5}{x+2}[/tex], we only care about the quotient, which will be our oblique asymptote equation. Therefore, the oblique asymptote for the function will be [tex]y=x-5[/tex]. See the attached graph for a visual.

Answer:

B

Step-by-step explanation:

Did it rn

Enter the explicit rule for the geometric sequence.

120,40,403,409,4027

Answers

Answer:

120(1/3)^n-1

This is the correct answer for sure.

120(1/3)^n-1


Explanation: just because

Can anyone do this thanks

Answers

1) oct.
2) sept.
4) aug. &' sept
Not 100% though .

Triangle ABC is on a coordinate plane.

If its rotated 180 degrees around a specific point to create A'B'C'

Which characteristics are true for both the original triangle and the triangle's image?

Question 11 options:

The measures of

The coordinates of B' will be the same as B.


The coordinates of A' will be the same as A.


The Area of ABC will be the same as A'B'C'


The perimeter of ABC will be the same for A'B'C'


The length of segment AB will be the same as Segment A'B'

Answers

Answer:

The last 3 choices are correct

Step-by-step explanation:

A rotation of 180 degrees has the rule (x,y) →(-x,y) , so the coordinates will not be the same. The shape's size doesn't change.

The distance an airplane travels depends on how much time it spends flying. Which expression represents the distance the airplane flies in 20 minutes?

a. 20(distance)
b. distance-20
c. distance+20
d. distance(20)

Answers

Answer:

D distance(20)

Step-by-step explanation:

The notation to express a dependent variable is given by :-

, where Y is depending variable which is dependent upon x ( independent variable).

The given statement : The distance an airplane travels depends on how much time it spends flying.

Here , Independent variable : Time

Dependent variable : Distance

Then , the notation to express distance (dependent variable) the airplane flies in 20 minutes is given by :-distance(20).

1+2+3+4+5+6+7+8+9+2000+1000000

Answers

1+2+3+4+5+6+7+8+9+2000+1000000 =10,020.45

what is the solution to the equation 1/4 x + 2 -5/8 x - 5? i

Answers

Answer:

work sh bf nd diu xd vs a wish even den dvs dneirgrvvdndkddvdvndkdosuehebdno he be bes be nah be even be bed buddy be end



Find the 10th term in the following geometric sequence.
8, 4, 2, 1,

Answers

I hope you'll understand my caculation.

Pls I need help this

Answers

Answer:

the third side is 4.

Step-by-step explanation:

Using  Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute

the numbers to show ([tex]\sqrt{65})^{2}[/tex] + [tex]b^{2}[/tex] = [tex]9^{2}[/tex] and solve for b. The square root and square cancel each other out, so you get 65 + [tex]b^{2}[/tex] = 81.

Subtract 65 from both sides to get [tex]b^{2}[/tex] = 16.

Then take the square root of both sides to get b = [tex]\sqrt{16}[/tex] which equals 4.

(-6, -5) and (2, 0)
Find the distance between each pair of points.

Answers

Answer:

[tex]\sqrt{89}[/tex] or 9.43

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 − 7x < 6 Solve the inequality that represents the story. If the variable is on the left, what is the sign?

Answers

Answer:

+ or > depending on what you mean exactly

Step-by-step explanation:

-7x<6-9

-7x<-3

x>3 (remember to flip the sigh)

the sign is the > symbol , or positive, not sure what you mean really

can some one answer please

Answers

Answer:

B (HI/GI)

Step-by-step explanation:

Remember Soh Cah Toa.

Toa is the trick for tan, meaning the tan function is opposite divided by adjacent. The side opposite of angle G is HI, and the side adjacent to it is GI.

the price of a ring was increased by 30% to £325 what was the price before the increase

Answers

Mark brainliest please

Answer is : Price before increase is £250


Explaination:

Let the Original price of a ring = x

Increase price( g) = 30%
New price(n) = £325

x = ( 100*n)/ (100+g)
x= (100*325)/(100+30)
x= (200*325)/130
x= 250

Therefore price before increase is £250

Another method:

Given that after 30% increases,
the cost of the ring is £325 so we can assume that 130% (100+30) is £325.

Now, we have to form an expression in term of x where x represents the original cost :

130/100*x=325

Solving x

x= 250

So the original price or price before the increase is £250




Can anyone help ? :) thanks

Answers

the product of 5 x 2 is 10, this is the same as adding 2 to 2 5 times brainliest pls

no se ingles xd asi que la verdad sorry aun que dime si es potensiacion


[tex]\huge\mathfrak\green{ please \: help \: ...} \\ \\ \huge\mathfrak\red{5 ^{2} + 6 ^{2} = {?} }[/tex]

Answers

61

Answer:

5²+6²=5*5+6*6=25+36=61 is a required answer.

Answer:

61 is the answer

Step-by-step explanation:

[tex] {5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ \\ {5}^{2} + {6}^{2} = 25 + 36 \\ = 61[/tex]

The value of Kelsey's car will depreciate (decrease) by a rate of 15% each year. She wants to write an exponential equation to find out what it will be worth in 6 years. What is the multiplier for this situation?

Answers

So if you multiply 15 by 6 you get 90 and the 6 is from every years she has saved. So if you take any number 95000 and 15 percent of 95000 is 14250 so try breaking it down and divide as much as you can but not to much and slowly at a time and then when you get that try to get close to 9500 as much as you can cause 90 percent of 95000 is 9500.

Larry puts $4250 in an account for 8 years, compounded quarterly, at 4.5% interest (APR). How much will he have at the end?

Answers

Answer:

6,079.42

Step-by-step explanation:

FV   =   P (1  +  r / n)^Yn

P is the starting principal, r is the annual interest rate, Y is the number of years invested, and n is the number of compounding periods per year. FV is the future value, meaning the amount the principal grows to after Y years.

ann and betty shared a sum of money in the ratio 2 : 3. ann received $120. what was betty's share?​

Answers

Answer:

Betty got $180

Step-by-step explanation:

If its 2:3 and 2 is 120,  that means 120/2 equals 60. 60*3=180

Step-by-step explanation:

the answer is 180 as the other person stated

Thank you please shwo your work if you can<3 !!!!
x=
y=

Answers

Answer:

x = 2, y = - 1

Step-by-step explanation:

Given the 2 equations

y = - 7x + 13 → (1)

y = - 1 → (2)

Substitute y = - 7x + 13 into (2)

- 7x + 13 = - 1 ( subtract 13 from both sides )

- 7x = - 14 ( divide both sides by - 7 )

x = 2

y = - 1 is already given in (2)

Then x = 2, y = - 1

It showed that: y = -1
So the equation will be: -1 = -7x + 13

Now we solve from here, start by subtracting 13 on both sides:
-14 = -7x

Divide -7 on both sides:
2 = x

Find the components of the vertical force Bold Upper FFequals=left angle 0 comma negative 10 right angle0,−10 in the directions parallel to and normal to the plane that makes an angle of theta equals tangent Superscript negative 1 Baseline (StartFraction StartRoot 3 EndRoot Over 3 EndFraction )θ=tan−1 3 3 with the positive​ x-axis. Show that the total force is the sum of the two component forces. What is the component of the force parallel to the​ plane? left angle nothing comma nothing right angle , What is the component of the force perpendicular to the​ plane? left angle nothing comma nothing right angle , Find the sum of these two forces. left angle nothing comma nothing right angle

Answers

Solution :

Let [tex]$v_0$[/tex] be the unit vector in the direction parallel to the plane and let [tex]$F_1$[/tex] be the component of F in the direction of [tex]v_0[/tex] and [tex]F_2[/tex] be the component normal to [tex]v_0[/tex].

Since, [tex]|v_0| = 1,[/tex]

[tex]$(v_0)_x=\cos 60^\circ= \frac{1}{2}$[/tex]

[tex]$(v_0)_y=\sin 60^\circ= \frac{\sqrt 3}{2}$[/tex]

Therefore, [tex]v_0 = \left<\frac{1}{2},\frac{\sqrt 3}{2}\right>[/tex]

From figure,

[tex]|F_1|= |F| \cos 30^\circ = 10 \times \frac{\sqrt 3}{2} = 5 \sqrt3[/tex]

We know that the direction of [tex]F_1[/tex] is opposite of the direction of [tex]v_0[/tex], so we have

[tex]$F_1 = -5\sqrt3 v_0$[/tex]

    [tex]$=-5\sqrt3 \left<\frac{1}{2},\frac{\sqrt3}{2} \right>$[/tex]

    [tex]$= \left<-\frac{5 \sqrt3}{2},-\frac{15}{2} \right>$[/tex]

The unit vector in the direction normal to the plane, [tex]v_1[/tex] has components :

[tex]$(v_1)_x= \cos 30^\circ = \frac{\sqrt3}{2}$[/tex]

[tex]$(v_1)_y= -\sin 30^\circ =- \frac{1}{2}$[/tex]

Therefore, [tex]$v_1=\left< \frac{\sqrt3}{2}, -\frac{1}{2} \right>$[/tex]

From figure,

[tex]|F_2 | = |F| \sin 30^\circ = 10 \times \frac{1}{2} = 5[/tex]

∴  [tex]F_2 = 5v_1 = 5 \left< \frac{\sqrt3}{2}, - \frac{1}{2} \right>[/tex]

                   [tex]$=\left<\frac{5 \sqrt3}{2},-\frac{5}{2} \right>$[/tex]

Therefore,

[tex]$F_1+F_2 = \left< -\frac{5\sqrt3}{2}, -\frac{15}{2} \right> + \left< \frac{5 \sqrt3}{2}, -\frac{5}{2} \right>$[/tex]

           [tex]$=<0,- 10> = F$[/tex]

I need helpppppp I’ve been stuck for a while

Answers

Answer:

i think its d

Step-by-step explanation:

It’s d I have don’t this before be sure to show ur work it’s so easy

A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far is she from her camp base and what is her bearing from it

Answers

Answer:

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Step-by-step explanation:

The final position of the surveyor is represented by the following vectorial sum:

[tex]\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3}[/tex] (1)

And this formula is expanded by definition of vectors in rectangular and polar form:

[tex](x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})[/tex] (1b)

Where:

[tex]x, y[/tex] - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

[tex]r_{1}, r_{2}[/tex] - Length of each vector, in kilometers.

[tex]\theta_{1}, \theta_{2}[/tex] - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that [tex]r_{1} = 42\,km[/tex], [tex]r_{2} = 28\,km[/tex], [tex]\theta_{1} = 32^{\circ}[/tex] and [tex]\theta_{2} = 154^{\circ}[/tex], then the resulting coordinates of the final position of the surveyor is:

[tex](x,y) = (42\,km)\cdot (\cos 32^{\circ}, \sin 32^{\circ}) + (28\,km)\cdot (\cos 154^{\circ}, \sin 154^{\circ})[/tex]

[tex](x,y) = (35.618, 22.257) + (-25.166, 12.274)\,[km][/tex]

[tex](x,y) = (10.452, 34.531)\,[km][/tex]

According to this, the resulting vector is locating in the first quadrant. The bearing of the vector is determined by the following definition:

[tex]\theta = \tan^{-1} \frac{10.452\,km}{34.531\,km}[/tex]

[tex]\theta \approx 16.840^{\circ}[/tex]

And the distance from the camp is calculated by the Pythagorean Theorem:

[tex]r = \sqrt{(10.452\,km)^{2}+(34.531\,km)^{2}}[/tex]

[tex]r = 36.078\,km[/tex]

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

How many x-intercepts appear on the graph of this polynomial function?
f(x) = x - 5x?
O 1 x-intercept
O 2 x-intercepts
O 3 x-intercepts
O 4 x-intercepts

Answers

Answer: B

Step-by-step explanation:

There are two x-intercepts: x = -√5 and x = √5. The answer is: 2 x-intercepts.

What is x-Intercept?

The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses.

To find the x-intercepts of the polynomial function f(x) = x⁴ - 5x², we set f(x) equal to zero and solve for x.

Setting f(x) = 0:

x⁴ - 5x² = 0

Factoring out the common term x²:

x²(x² - 5) = 0

Now we have two factors: x² = 0 and x² - 5 = 0.

For x² = 0, we have a double root at x = 0.

This means the graph touches the x-axis at x = 0 but does not cross it.

For x² - 5 = 0, we can solve for x by taking the square root:

x² = 5

x = ±√5

Therefore, there are two x-intercepts: x = -√5 and x = √5.

The answer is: 2 x-intercepts.

Learn more about the x-intercept here:

https://brainly.com/question/14180189

#SPJ7

Triangles RST and XYZ are similar. X R 16.0 cm 6.0 cm 3,6 cm ? S Y 7.5 cm T 20.0 cm z not drawn to scale What is the length of side XZ? O A 7.2 cm B. 9.6 cm C. 13.6 cm OD. 16.1 cm​

Answers

B) 9.6 cm

See the picture I have shared

Can someone please help me?the question is in the picture. Thank you

Answers

Answer:

It would be 9π

Step-by-step explanation:

(x-1)²π

(x-1)(2x-4)

A cube that is used as a table is 2ft on each side. how many square feet will be painted if all sides are painted
A. 24ft²
B. 48ft²
C. 36ft²

Answers

Answer:

a = 24 ft²

Step-by-step explanation:

Area of 1 side

a = 2 * 2

a = 4 ft²

Cubes have 6 sides

a = 6 * 4

a = 24 ft²

Answer:

A. 24 ft²

Step-by-step explanation:

The faces of a cube are squares. We know that the squares have a side length of 2 ft. Therefore, the area of a square will be 4 ft². There are 6 faces/squares on a cube, so we take the 4 ft² and multiply it by 6. This gives us 24 ft².

Other Questions
Which is a possible turning point for the continuousfunction f(x)? Liang Company began operations on January 1, 2012. During its first two years, the company completed a number of transactions involving sales on credit, accounts receivable collections, and bad debts. These transactions are summarized as follows:2012a.Sold $1,345,434 of merchandise (that had cost $975,000) on credit, terms n/30.b.Wrote off $18,300 of uncollectible accounts receivable.c.Received $669,200 cash in payment of accounts receivable.d.In adjusting the accounts on December 31, the company estimated that 1.5% of accounts receivable will be uncollectible.2013e.Sold $1,525,634 of merchandise (that had cost $1,250,000) on credit, terms n/30.f.Wrote off $27,800 of uncollectible accounts receivable.g.Received $1,204,600 cash in payment of accounts receivable.h.In adjusting the accounts on December 31, the company estimated that 1.5% of accounts receivable will be uncollectible.Required:Prepare journal entries to record Liangs 2012 summarized transactions and its year-end adjustments to record bad debts expense. (The company uses the perpetual inventory system and it applies the allowance method for its accounts receivable.) (Round your intermediate calculations to the nearest dollar amount.) can someone pls help for brainlest Describe how light and sound waves are affected when they move from air to water. Please help thank you. Today, federal laws are enacted by Congress, enforced by the President, and interpreted by the Supreme Court. This is similar to which philosopher's ideals of government? Both clauses in the following sentence are independent clauses connected by a conjunction:I hopped from one foot to the other, pulling on the socks as I headed back down the stairsSelect one:Select one:TrueFalse express the following number in words; 3468729165 PLEASE HELP SPANISH Answer each question below using TWO verbs. The first two have been done for you (the 's show the answers).T quieres jugar a bolos? --> S, yo quiero "jugar.Tus amigos pueden nadar? -S, ellos pueden nadar. The dimensions of triangular prom are shown in the diagram10 cm10 cmcm34 cm-12 cmWhat is the total surface area of the triangular prism in square centimeters?A 1,184 sq cmB 1,632 sq cmC 3,264 sq cmD 32,640 sq cm The Western Siberian Plain _________ HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP Will give brainliest process name of liquid bromine to bromine vapor How long is 20 yards? A. 600 in. B. 720 in. C. 840 in. D. 900 in. What is the product?(-282 +8)(502-65) whats the length of the middle segment ? Find the limit of the function by using direct substitution Lim x-0(x^2+10) from The Adventures of Tom Sawyerby Mark TwainSATURDAY morning was come, and all the summer world was bright and fresh, and brimming with life. There was a song in every heart; and if the heart was young the music issued at the lips. There was cheer in every face and a spring in every step . . . Tom appeared on the sidewalk with a bucket of whitewash and a long-handled brush. He surveyed the fence, and all gladness left him and a deep melancholy settled down upon his spirit. . . .He began to think of the fun he had planned for this day, and his sorrows multiplied. Soon the free boys would come tripping along on all sorts of delicious expeditions, and they would make a world of fun of him for having to workthe very thought of it burnt him like fire. . . . At this dark and hopeless moment an inspiration burst upon him! . . .He took up his brush and went tranquilly to work. Ben Rogers hove in sight presentlythe very boy, of all boys, whose ridicule he had been dreading. Ben's gait was the hop-skip-and-jump-proof enough that his heart was light and his anticipations high. He was eating an apple, and giving a long, melodious whoop, at intervals, followed by a deep-toned ding-dong-dong, ding-dong-dong, for he was personating a steamboat. . . .Tom went on whitewashingpaid no attention to the steamboat. Ben stared a moment and then said: "Hi-Yi! You're up a stump, ain't you!"No answer. Tom surveyed his last touch with the eye of an artist, then he gave his brush another gentle sweep and surveyed the result, as before. Ben ranged up alongside of him. Tom's mouth watered for the apple, but he stuck to his work. Ben said:"Hello, old chap, you got to work, hey?"Tom wheeled suddenly and said:"Why, it's you, Ben! I [wasn't] noticing.""SayI'm going in a-swimming, I am. Don't you wish you could? But of course you'd [rather] workwouldn't you? Course you would!"Tom contemplated the boy a bit, and said:"What do you call work?""Why, ain't that work?"Tom resumed his whitewashing, and answered carelessly: "Well, maybe it is, and maybe it ain't. All I know, is, it suits Tom Sawyer.""Oh come, now, you don't mean to let on that you like it?" The brush continued to move."Like it? Well, I don't see why I oughtn't to like it. Does a boy get a chance to whitewash a fence every day?" . . ."Say, Tom, let me whitewash a little."Tom considered, was about to consent; but he altered his mind:"NonoI reckon it wouldn't hardly do, Ben. You see, Aunt Polly's awful particular about this fence . . . it's got to be done very careful; I reckon there ain't one boy in a thousand, maybe two thousand, that can do it the way it's got to be done.""Nois that so? Oh come, nowlemme just try. Only just a littleI'd let you, if you was me, Tom.""Ben, I'd like to, honestbut Aunt Pollywell[if] you was to tackle this fence and anything was to happen to it""Oh, shucks, I'll be just as careful. Now lemme try. SayI'll give you the core of my apple.""Well, hereNo, Ben, now don't. I'm afeard""I'll give you all of it!"Tom gave up the brush with reluctance in his face, but alacrity in his heart. And while the late steamer Big Missouri worked and sweated in the sun, the retired artist sat on a barrel in the shade close by, dangled his legs, munched his apple, and planned the slaughter of more innocents. There was no lack of material; boys happened along every little while; they came to jeer, but remained to whitewash.13Select all of the correct answers.How does the dialogue between Tom and Ben impact the passage as a whole?A. It creates tension between Tom and Ben that will only be resolved when Tom hands Ben his brush.B. The dialogue reveals that Tom really does prefer whitewashing to going swimming.C. It sets up a flashback to an earlier time when Tom was content.D. The dialogue reveals Toms plan to get others to do his work.E. It foreshadows that Aunt Polly will find out about Toms plan and discipline him. Who traveled through Spain and Gaul and crossed the Alps to Italy and defeated the Romans at the battle of Cannae?Pls help 4. If your balance on an investment of $100 that has been invested ata rate of 7.5% is $178.35 at the end of 8 years, does the plan have simpleinterest or compound interest?