What is the length of BC? Please include how you got it :)

What Is The Length Of BC? Please Include How You Got It :)

Answers

Answer 1

Answer:

BC = 24

Step-by-step explanation:

We know that triangles CAB and CED are similar because all three of their angles are the same. Thus, we know that the side lengths of these triangles have to be proportional to each other. You would match side BC with side DC and sides AC with EC.

AC/EC = BC/DC

30/10 = (32-x)/x

3 = (32-x)/x

Then using algebraic properties, solve for x.

3x = 32 - x

4x = 32

x = 8.

Lastly, plug in 8 for the x in BC, 32 - 8, so the length of BC is 24

Answer 2

Answer:

B

Step-by-step explanation:

Δ CBA and Δ CDE are similar triangles, then the ratios of corresponding sides are equal, that is

[tex]\frac{CB}{CD}[/tex] = [tex]\frac{CA}{CE}[/tex] , substitute values

[tex]\frac{32-x}{x}[/tex] = [tex]\frac{30}{10}[/tex] = 3 ( multiply both sides by x )

32 - x = 3x ( add x to both sides )

32 = 4x ( divide both sides by 4 )

8 = x

Then

BC = 32 - x = 32 - 8 = 24 → B


Related Questions

Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?

Answers

Answer:

Number of kilometer he run in 3 week = 147 kilometer

Step-by-step explanation:

Given:

Cleiton's daily run = 7 km

Find:

Number of kilometer he run in 3 week

Computation:

Number of days in a week = 7

Number of days in 3 week = 7 x 3

Number of days in a week = 21 days

Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week

Number of kilometer he run in 3 week = 7 × 21

Number of kilometer he run in 3 week = 147 kilometer

a merchant gains 15% by selling an article for $ 150. by how much does he sell it to double his profit ?​

Answers

Answer:

30/100×150=

24/5%, that is the answer


(15% * x) + x = $150
x = about $130.44
$130.4347… * 2 = $260.80

arrange in order ^6√5,^3√3 and √2
plz help​

Answers

⁶√5 < √2 < ³√3

Step-by-step explanation:

Given: ⁶√5, ³√3, √2

[tex] = {5}^{ \frac{1}{6} } , \: {3}^{ \frac{1}{3} } , \: {2}^{ \frac{1}{2} } \\ = {({5}^{ \frac{1}{6} })}^{6} , \: {({3}^{ \frac{1}{3} })}^{6} , \: {({2}^{ \frac{1}{2} })}^{6} \\ = 5, \: {3}^{2} , \: {2}^{3} \\ = 5, \: 9, \: 8 \\ \\ 5 < 8 < 9 \\ = {5}^{ \frac{1}{6} } < \: {2}^{ \frac{1}{2} } \: < {3}^{ \frac{1}{3} } \\ [/tex]

Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?

Answers

Answer:

creo que es 96%

Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.

Answer number 6 for me

Answers

Answer:

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = [tex]\sqrt{72}[/tex]

c=3[tex]\sqrt{8}[/tex]

c=8.485281374

Step-by-step explanation:

f(x) = 3x - 4

x is -2

Answers

plug in -2 in x. Which will give you x=2/3

Which statement is true?

Answers

D (2 and 4), vertical angles oppose eachother, and are always congruent (identical).

Answer:

I believe it is the 3rd one down

Step-by-step explanation:

Because the two angles make an angle of 180, supplementary angles make one angle of 180 and it says that 2 and 3 are alike because they make a supplementary angle and there is a line dividing them that looks like both angles = 90 degrees

find the value of 3x=1/9

Answers

The answer above me is correct good luck

Find the solution of y = 6x + 1 for x = 5

Answers

Answer:

y = 31 when x = 5

Step-by-step explanation:

We are to evaluate (not solve) the function y = 6 x + 1 for x = 5.

Substituting 5 for x in y = 6x + 1, we get

                                     y = 6(5) + 1  = 31

y = 31 when x = 5

Problem:

Find the solution of y = 6x + 1 when x = 5.

[tex] \quad\quad \quad\quad\tt{y = 6x + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 6(5) + 1}[/tex]

[tex] \quad\quad \quad\quad\tt{y = 30 + 1}[/tex]

[tex] \quad\quad \quad\quad \boxed{\tt{y = 31}}[/tex]

Hence, the final answer is:

[tex]\quad\quad \quad\quad \boxed{\tt \color{green}{y = 31}}[/tex]

_______

#LetsStudy

Martha estimated the quotient of −71.81 and −8.02 using rounding to the nearest whole number. 9 StartLongDivisionSymbol 72 EndLongDivisionSymbol minus 72 = a remainder of 0 and quotient of 8. What was Martha's error? She should have rounded the dividend to 70. She should have rounded –8.02 to –8. She should have divided 8 by 72. She did not make an error.

Answers

Answer:

(b) She should have rounded –8.02 to –8

Step-by-step explanation:

Given

See attachment for long division

Required

Her error

Ignoring the minus sign,

Her approximation is as follows:

[tex]-71.81 \approx 72[/tex]

[tex]-8.02 \approx 9[/tex]

Her approximation of -8.02 is wrong

Because:

[tex]-8.02 \approx 8[/tex]

Hence (b) is correct

B (she should have rounded –8.02 to –8)

Step-by-step explanation:

Just got it right on e d g e u n i t y 2021!

María compró 78 metros de cuerda, ella dividió en 6 partes iguales la cuerda el día martes 8 de mayo ¿Cuántos metros mide cada trozo? *
a) Cada trozo mide 312m
c) Cada trozo mide 13m
d) cada trozo mite 92m
b) Cada trozo mide 9m y 75cm

Answers

Answer:

The length of each piece is 13 m.

Step-by-step explanation:

Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?  

a) Each piece measures 312m

c) Each piece measures 13m

d) each piece mites 92m

b) Each piece measures 9m and 75cm

Total length, L =  78 m

Number of pieces, n = 6

length of each piece,

d = L/n = 78/6 = 13 m

So, the correct option is (c).  

Pilar has a square game board with 25 equal sections. The sections are randomly colored with 4 different colors. There are 5 blue, 5 red, 10 yellow, and 5 green squares. Each player has a chip to toss onto the game board. What is the probability of a player tossing a chip onto a yellow square!

Answers

Answer:

The probability is 2/5

Step-by-step explanation:

There are 25 sections on the board

And 10 of those squares are coloured yellow

Therefore;

Probability =

[tex] \frac{10}{25} = \frac{2}{5} [/tex]

I've never been this confused can someone help? I'll be brainlisting!! it's urgent.​

Answers

Try this option:

a) 0.5; b) 0.91; c) 2.9; d) 0.72; e) 0.88; f) 0.47; g) 0.33; h) 0.71; i) 1.88; j) 0.42; k) 1; l) 0.87

1. In Tagaytay Picnic Groove, a horse ride costs P 120.00 per person for the first 30
minutes and P 50.00 for every additional 10 minutes. If you spent P 270.00 for a
horse ride, for how long did you ride?​

Answers

Please mark Brainliest

Answer:
1 Hour

Explanation:


•A horse ride costs P120.00 per person for the
first 30 minutes.
•P50.00 for every additional 10 minutes.
I Spend P270.00, I Subtracted P120.00 For the
first 30 minutes.
270 - 120 = 150
150/50 = 3
If I Spend P50.00 for every additional 10 minutes
Then:
3 * 10 = 30
P120.00 For the first 30 minutes.
30 minutes + 30 minutes = 60 min = 1 Hour

solve for x
6x²+2x-12​

Answers

Answer:

Step-by-step explanation:

Solving for x means you have to factor. First factor out the GCF of 2 to get:

[tex]2(3x^2+x-6)[/tex] and now we'll factor using the regular old method of ac and then factoring by grouping. In our polynomial, a = 3, b = 1, c = -6. Therefore, a times c is 3 * -6 which is -18. We need some combinations of the factors of 18 that will add to give us 1, the b term in the middle. The factors of 18 are:

1, 18

2, 9

3, 6 and that's it. Hm...it seems that won't work, so let's throw this into the quadratic formula, going back to the original and a = 6, b = 2 and c = -12:

[tex]x=\frac{-2+/-\sqrt{2^2-4(6)(-12)} }{2(6)}[/tex] and

[tex]x=\frac{-2+/-\sqrt{4+288} }{12}[/tex] and

[tex]x=\frac{-2+/-\sqrt{292} }{12}[/tex] and

[tex]x=\frac{-2+/-\sqrt{4*73} }{12}[/tex] and

[tex]x=\frac{-2+/-2\sqrt{73} }{12}[/tex] which finally simplifies to

[tex]x=\frac{-1+/-\sqrt{73} }{6}[/tex] No wonder that didn't factor using the traditional method of factoring! We could have found that out by finding first the value of the discriminant, but oh well!

the dimensions of a triangular prism are given in the diagram find the volume of the prism in cubic feet .

Please help me

Answers

Answer:

B. 192.5 ft³

To find the volume of a triangle prism, multiply the base, height, and length together, and then divide it by 2 (or multiply that by 0.5).

(5 * 7 * 11)/2

Multiply 5 by 7 to get 35.

(35 * 11)/2

Multiply 35 by 11 to get 385.

385/2

192.5 ft³ is the volume of this triangluar prism.

Answer:

25 times 12

300

divided by 2

150

times 22

3300 cubic ft

Estimate the amount of the tip by rounding the bill to the nearest ten dollars before calculating.

20% tip on a bill of $945.41

Answers

Answer: 189.082

189.082 is 20% of 945.41

Step-by-step explanation:

What is 20% of 945.41?

Y is 20% of 945.41

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 20% * 945.41

Converting percent to decimal:

p = 20%/100 = 0.2

Y = 0.2 * 945.41

Y = 189.082

Identify the y-intercept of line in the graph?

Answers

Answer:

(0,-1)

Step-by-step explanation:

You look at where the line intercepts the y axis, which is at (0,-1)

Answer:

(0,-1)

Step-by-step explanation:

y intercept is the point on the y- axis

The coordinates are (0,-1)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.

Answers

Sorry for the wrong answer

Answer:

0.46 Newtons

Step-by-step explanation:

The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.

f = k/d²

--------------------------------

to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.

0.35 = k/8²

0.35 = k/64

multiply both sides by 64

22.4 = k

---------------------------

Work out F (rounded to 2 DP) when d=7 metres.

f = 22.4/7²

f = 22.4/49

f = 0.46

The area of a trapezoid is represented by the expression 12x2 + 7x – 10. The other dimensions are shown in the diagram below. Determine an expression for the height of the trapezoid.

Answers

Answer:

(24x^2 + 14x – 20) /(3x+5) =  h

Step-by-step explanation:

The area of a trapezoid is given by

A =1/2 (b1+b2) h

12x^2 + 7x – 10 = 1/2 ( x+3+ 3x+2)h

Multiply each side by 2

24x^2 + 14x – 20 =  ( x+3+ 3x+2)h

Combine like terms

24x^2 + 14x – 20 =  ( 4x+5)h

Divide each side by (4x+5)

(24x^2 + 14x – 20) /(4x+5) =  ( 4x+5)h/(4x+5)

(24x^2 + 14x – 20) /(4x+5) =  h

The figure below shows parallelograms ABCE, PQRS, and TNLM on a coordinate plane.
• Points S, P, Q, and Rare midpoints of ABCE
• T, N, L, and Mare midpoints of PQRS
Write the equation of line ML. Show your work.

Answers

Answer:

ML = √[¼ (EC)²]

Step-by-step explanation:

ML² = ½(QR)²

QR² = ½(EC)²

so, ML² = ¼ (EC)²

=> ML = [¼ (EC)²]

The equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex]   .

Concept:We will find the length of SE and ER.Then we will find the length of SR by using the Pythagoras theorem in Δ ESR.Then, we will find the length of MR and RL and hence, again using the Pythagoras theorem in Δ MRL and find the length of ML.How to solve the given question?Since, S is the midpoint of AE.
           [tex]SE = \frac{AE}{2}[/tex]
Similarly, [tex]RE = \frac{CE}{2}[/tex]In Δ SER, ∠E = 90°,
∴ By Pythagoras theorem, SR² = SE² + ER²
∴ [tex]SR^2 = (\frac{AE}{2})^2 + ( \frac{RE}{2})^2 = \frac{AE^2 + CE^2}{4}[/tex]   ...... (1)
∴ Similarly, [tex]RQ^2 = \frac{BC^2 + CE^2}{4}[/tex]          ............ (2)
Since, M & L are the midpoints of SR and RQ.
           [tex]MR = \frac{SR}{2}[/tex] &  [tex]RL = \frac{RQ}{2}[/tex]
In Δ LMR, ∠R = 90°,
∴ By Pythagoras theorem, ML² = RM² + RL²
∴ [tex]ML^2 = (\frac{SR}{2})^2 + ( \frac{RQ}{2})^2 = \frac{SR^2 + RQ^2}{4}[/tex]

Substituting value of SR and RQ from 1 and 2.
[tex]ML^2 =\frac{1}{4} [ \frac{AE^2 + CE^2}{4} + \frac{BC^2 + CE^2}{4} ][/tex]

As ABCE is parallelogram, BC = AE
∴ [tex]ML^2 =\frac{1}{4} [ \frac{2AE^2 + 2CE^2}{4} ] = [ \frac{AE^2 + CE^2}{8} ][/tex]
[tex]ML = \frac{AC}{2\sqrt{2} }[/tex]

Thus, the equation of the line ML is given by [tex]ML = \frac{AC}{2\sqrt{2} }[/tex]   .

Learn more about parallelogram here:
https://brainly.com/question/970600

#SPJ2

Please help me!!
The picture of the question is attached ​

Answers

Answer:

x = 240°, x = 300°

Step-by-step explanation:

Using the identity

sin x = [tex]\frac{1}{cosecx}[/tex] = [tex]\frac{1}{-\frac{2}{\sqrt{3} } }[/tex] = - [tex]\frac{\sqrt{3} }{2}[/tex] , then

x = [tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{3} }{2}[/tex] ) = 60° ← related acute angle

Since sin x < 0 then x is in 3rd / 4th quadrants

x = 180° + 60° = 240°

x = 360° - 60° = 300°

I SUCK AT MATH. HELP!!!

Answers

Sin P= 2/30

Sin of P simply means take the side opposite of angle P, and divide it by the hypotenuse (the long diagonal one.)

Sin= O/H

Cos= A/H

Tan= O/A

I suxk at math 2 so dont give up

Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer. ​

Answers

The equation has infinite solutions, because each side is equal to 3x + 2. Therefore, whatever variable the x replaces will give the same answer every time.

Las dos cifras de un número suman 11 . Si las cifras se invierten de orden se invierten de orden , se obtiene otro número que excede en 27 unidades al anterior¿De q número se trata ?

Answers

Answer:

El número es el 47

Step-by-step explanation: Con los dígitos de los siguientes números se obtiene que su suma es 11

47        4  +  7  =  11

38         3  +  8 =  11

29         2   + 9  = 11

Si se cambia el orden de los dígitos:

47       se convierte en    74        74 - 47  =  27

38                  "    "             83        83 - 38 =  45

29                  "    "             92        92 - 29 = 63

Entonces el número solicitado es el 47

The triangles are similar by
1-AA
2-ASA
3-SSS
4-SAS

Answers

Answer:

It will be the 1st one that is The triangles are similar by AA

The answer is AA

Hope it helped

Convert the following to ordinary numbers
a) 8.39 x 104
b) 3.84x10-3

Answers

Answer:

8.34 ×10^4 as in sceintific notation so in normal

8.39×10^4 = 83900

and 3.84 × 10^-3 = 0.00384

Hope it helps

Solve the equation to find the value of m and n.
2m + 3n = -5
5m + 3n = 1

Answers

Answer:

m = 2, n = - 3

Step-by-step explanation:

Given the 2 equations

2m + 3n = - 5 → (1)

5m + 3n = 1 → (2)

Subtract (2) from (1) term by term to eliminate n

2m - 5m = - 5 - 1

- 3m = - 6 ( divide both sides by - 3 )

m = 2

Substitute m = 2 into either of the 2 equations and solve for n

Substituting into (1)

2(2) + 3n = - 5

4 + 3n = - 5 ( subtract 4 from both sides )

3n = - 9 ( divide both sides by 3 )

n = - 3

Step-by-step explanation:

2m + 3n = -5

5m + 3n = 1

(Multiply each equation by a suitable number so that the two equations have the same leading coefficient)

6m + 9n = -15

15m + 9n = 3

(Subtract the second equation from the first)

15m- 6m = -15-3

-9m= -18

-9m/-9= -18/-9

m= 2

(Solve this new equation for m)

5(2) +3n = 1

10+3n=1

3n=1-10

3n=-9

3n/3 = -9/3

n= -3

(Substitute m = 2 into either Equation 1 or Equation 2 above and solve for n )

Please help? I really need it

Answers

Answer:

216 in²

Step-by-step explanation:

a = bh

a = 18 * 12

a = 216

216 in2 this is because you are finding the area meaning you multiple your two sides

Which of the following conditions are sufficient to show that the two polygons are congruent?


A. Slopesc = Slopen and slopezo = slopeo


B. The lengths of all corresponding sides are equal: AB = LM, BC = MN, CD = NO, AD = LO.



C. None. The polygons cannot be congruent because they have different orientations.


D. The rise and run of the translation between each pair of corresponding points are the same.​

Answers

Answer:

(B) Two number is the answer of your question.

Other Questions
help please asap ASAP ASAP ASAP PLEADEEEEEEEEE 1: Qu es la Tomatina?A: Festival que se celebra en Mxico anualmente.B: Ninguna de las anterioresC: Festival que se celebra cada el ltimo viernes de cada agosto en Espaa.D: Festival internacional del tomate2: De dnde vienen los visitantes que celebran esta tradicin?A:Los visitantes vienen del norte de Mxico.B: Ninguna de las anteriores.C: Los visitantes vienen de otras partes de Europa.D: Los visitantes vienen de todas partes del mundo.3: Verdadero o Falso. La ciudad de Buol es grande con muchos habitantes. True or False4: Verdadero o Falso. Alrededor de cien mil toneladas de tomate si tiran durante la celebracin en la calle.True or False5: A qu hora comienza el festival? A: Ala una de la maana.B: Ninguna de las anterioresC: Alas doce del medio da.D; A las once de la maana.6: En dnde empieza la batalla de tomates? A: En el mercadito del puebloB: En la plaza del puebloC: En el centro comercialD: En las afueras de la ciudad7: Verdadero o Falso. Los tomates usados para la celebracin, vienen de la regin de Extremadura en Espaa donde estos son cultivados especialmente para el festival.True or False8: Las siguientes son todas actividades que ocurren durante el da de la celebracin, excepto?A: concursos de PaellaB: bailesC: corrida de torosD: desfilesE: msica Average U.S. income is usually reported asincome.a.b.seasonally adjustedvirtualmeanC.d.median 1/2x+1/3y=71/4x+2/3y= 6What is the solution of the system shown? Question 6 of 10Why were more Americans able to buy homes after World War II?A. Banks were less involved in the buying processB. Home prices fell to record lowsC. People were more willing to take on debtD. All of the aboveSUBMIT 2. Provide three examples of innovative activities, practices that leaders might undertake. Do not limit your ideas tothose presented in the text. HELP ASAAAAP 40 MINS LEFT AAA!Geometric isomers have profound effects on the physical properties of compounds. Naturally occurring fatty acids generally adopt a cis geometry. What's one physical property affected by this geometry?A) ColorB) TasteC) SmellD) Melting point Describe how the organization of a multicellular organism (eukaryotic) helps it function: (Hint; think of the order of cells to systems) help please i dont know the answer Helpppppp me please 1.04 summarize it..... I need help need help asap An art director encourages his team to create clear, attractive, photorealistic images for an ad campaign and presents it to the client. The client says, Its visually great, but I dont know what youre selling. What has the art director failed to consider?the need for finesse in dealing with creativesthe practicality of the world outside the art classroomthe balance between art and commercethe difference between online and onsite presentation The traditional nonprofit sector has experienced considerable change in recent years with new strategies, actors, and funding vehicles, which have increased the quantity of private capital earmarked for social good.a. Trueb. False Pick a number from 1 to 50 winner gets 30 points. You can comment or answer on this question. What is the median of this data set? {22, 5, 9, 1, 7, 3) Enter your answer in the box median = A football player attempts to kick a football across a field. The path of the football can be modeled by the function h(x) = 1/225 x^2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. How far from the kicker will the football land? please answer ASAP (math) There is a Chick-fil-a exactly 6 miles due east of Berkmar Middle School. There is also a Wal-Mart 6 miles due north of Berkmar Middle School. How far is the Chick-fil-a from the Wal-Mart? Leave your answer in its simplest radical form. Find the volume of the sphere. Round your answer to the nearest tenth. Social and environmental responsibility 2.1 Discuss THREE ways in which the local government should provide services that promote safe and healthy living. (3x2=6) 2.2 provide THREE critical evaluations of your own contribution to environmental health and safety in your community. Use examples to illustrate your answer. (3x3=9) 2.3 Instead of fixing the leaks the municipality is cutting off the water leading to blocked toilets. Identify and discuss FOUR diseases that can affect the community 8 can benefit in living in a healthy environment (2) Total [45] Need help on this question on edge please