The two
triangles are similar.

What is the value of x?

Enter your answer in the box:

The Twotriangles Are Similar.What Is The Value Of X?Enter Your Answer In The Box:

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

Sides of large triangle: 4x and 15

Corresponding sides of small triangle: 3x + 1 and 12

[tex] \dfrac{4x}{15} = \dfrac{3x + 1}{12} [/tex]

[tex] 60 \times \dfrac{4x}{15} = 60 \times \dfrac{3x + 1}{12} [/tex]

[tex] 16x = 15x + 5 [/tex]

[tex] x = 5 [/tex]


Related Questions

Please answer this to the best of your ability

Answers

Answer:

For this exercise we need to solve the next equation:

3 +6x = 2x + 27

We can start substracting 3 at both sides:

3 + 6x - 2 = 2x + 27 - 3

6x = 2x + 25

And then, we can substract 2x::

6x - 2x = 2x + 24 - 2x

4x = 25

Then, we divide by 4:

4x/4 = 24/4

x = 24/4 = 6

Now, we can see if we have done it correctly:

3 + 6*6 = 39

2 * 6 + 27 = 39

And we have seen our result is correct

NO LINKS!!! JUST ANSWER PLS AND ILL GIVE BRAINLIEST

Answers

y=1/2x-3 is the 6th graph in the photo

y=-2x+3 is the 2nd graph in the photo

y=1/2x+3 it’s the 4th photo

y= - 1/2x+3 it’s the 5th one

help me with this please​

Answers

the first line is parallel and the second is 3 times

the ratio of boys to girls is 4 :3,if there are 24boys and how many girls will be there?​

Answers

Answer:

There are 18 girls

Step-by-step explanation:

explanation given in the image

❣️◕Jess bregoli◕❣️

#keep learning!!

Find the scale factor for the given two similar rectangles.

A. 1/3
B. 1/4
C. 1/5
D. 1/6

HELPPPPP!!!!!!!!!!!!

Answers

Answer: A) 1/3

Explanation: ok the left triangle is 9 and 27 and the right triangle is 3 and 9

The way you find this is saying what can you multiple the smaller numbers to get the big numbers, so 9 x 3 = 27 and 3 x 3 = 9 which is the bigger triangles area. The easiest way to do this in the future is take the biggest numbers and divide them by the denominated in your answer choices because if you took 27 and 9 / 3 you would get the numbers on the right side triangle. Good luck in the future :)

help please!!! :)
2x + 6 = 4x - 2

Answers

Answer:

[tex]2x + 6 = 4x + -2[/tex]

[tex]\Longrightarrow2x+6-6=4x-2-6[/tex]

[tex]\Longrightarrow 2x=4x-8[/tex]

[tex]\Longrightarrow 2x-4x=4x-8-4x[/tex]

[tex]\Longrightarrow -2x=-8[/tex]

[tex]\Longrightarrow \frac{-2x}{-2}=\frac{-8}{-2}[/tex]

[tex]\hookrightarrow \underline{ANSWER: x=4}[/tex]

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

hope it helps...

have a great day!!

I NEED HELP SOMEONE HELP ME OUTTT!!

Answers

Its 4/5 bc soh cah toa

Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: b2 + 20b +*

Answers

Given:

The expression is:

[tex]b^2+20b[/tex]

To find:

The a monomial so that the trinomial may be represented by a square of a binomial.

Solution:

If an expression is [tex]x^2+bx[/tex], then be need to add square of half of coefficient of x, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the given expression to make in perfect square.

We have,

[tex]b^2+20b[/tex]

Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., [tex]\left(\dfrac{20}{2}\right)^2[/tex].

[tex]\left(\dfrac{20}{2}\right)^2=10^2[/tex]

[tex]\left(\dfrac{20}{2}\right)^2=100[/tex]

Therefore, we need to add 100 to make [tex]b^2+20b[/tex] a perfect square binomial.

Fred, a skycap at the airport, is paid
$5.15 per hour. During an 8-hour
shift, he earned $195.00 in tips. What
were his estimated total earnings for
a 40-hour week?

Answers

Answer:

401 a week

Step-by-step explanation: Fred earns $5.15 dollars plus a tip of $195  if he works for 40 hours the equation would be x=ab+c  X is the week, A is the money per hour, B is the amount of hours and C is the tip   X= 5.15(40)+195       5.15 times 40 is 206 then 206+195 is 401 which is your answer

What is the image of (-6, -2) after a dilation by a scale factor of 4 centered at the origin?​

Answers

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

What is a scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:

(x', y') = (kx, ky)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.

Substituting the values given in the problem, we get:

(x', y') = (4*(-6), 4*(-2))

Simplifying,

(x', y') = (-24, -8)

Therefore,

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

pls help beestar is not fun

Answers

9/ 4 times
10/ A

2 height * 2 length/ height * length = 4

Find the value of x. Round to the nearest tenth.

Answers

Answer:

x = 7

Step-by-step explanation:

First we find out what we are using sin,cos, or tan then we plug in the numbers

Sin 26 x 16 = 7

If a = ba and b = 2a, what is the value of a + b?​

Answers

a = ba

1 = b

Since b = 1,

b = 2a

1 = 2a

a = 0.5

Therefore,

a + b = 0.5 + 1

a + b = 1.5

in a survey group of people 50% like to listen radio and 60% like to watch the television if 30 person of the middle listen to the radio not was the television and find the number of people who like to listen both the radio and television with a Venn diagram

Answers

Answer:

15 and 18 i hope it will help you

What is the solution of ?

Answers

Answer:

x=12 is the answer

Step-by-step explanation:

[tex] \frac{5}{2} x - 7 = \frac{3}{4} x + 14[/tex]

[tex] \frac{5}{2} x - \frac{3}{4} x = 14 + 7[/tex]

[tex] \frac{10}{4} x - \frac{3}{4} x = 21[/tex]

[tex] \frac{7}{4} x = 21[/tex]

[tex]x = 21 \div \frac{7}{4} [/tex]

[tex]x = 21 \times \frac{4}{7} [/tex]

[tex]x = 3 \times 4[/tex]

[tex]x = 12[/tex]

Which function is represented by the graph?
5
4
3
2
Of(x) = -x - 3] + 4
f(x) = -x + 3 + 4
f(x) = -x + 4 + 3
f(x) = -x + 4 + 3
-5 A-3 -2 -1 2 3 4 5
2+
-3
45

Answers

Step-by-step explanation:

The correct answer is f(x)=3^(x+3)

Can you please help me with this?/

Answers

Answer:

1.3 meters

Step-by-step explanation:

The question is: What is the position of Michael's hands relative to the surface of the water?

It seems like it is asking for the amount of space between Michael's hands, and the surface of the water.

His hands are 1.8 meters below his feet, and his feet are 0.5 meters above the water.

To solve: subtract

1.8-0.5

1.3

I hope this helps!

Can someone help with this problem

Answers

which one.

................................

Step-by-step explanation:

................

Answer:

x = 15

Step-by-step explanation:

If A parallel to B then ∠ 2 and ∠ 4 are same- side interior angles and sum to 180° , then

2x + 10 + 4x + 80 = 180 , that is

6x + 90 = 180 ( subtract 90 from both sides )

6x = 90 ( divide both sides by 6 )

x = 15

The perimeter of a rectangular swimming pool is 56 meters. The width is 4 meters less than the length. What is the width of the swimming pool? 4 meters 4 meters 8 meters 8 meters 12 meters 12 meters 24 meters

Answers

Answer:

Length = 16 meters

Width = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

length = x

Width = (x - 4) meters

Perimeter of the rectangular pool = 56 meters

Perimeter of a rectangle = 2(length + width)

56 = 2{x + (x - 4)}

56 = 2(x + x - 4)

56 = 2(2x - 4)

56 = 4x - 8

56 + 8 = 4x

64 = 4x

x = 64/4

x = 16

length = x = 16 meters

Width = (x - 4) meters

= 16 - 4

= 12 meters

If two angles are supplementary and one angle measure is 110 degrees, what is the measure of the other angle?

Answers

Answer:

70 degrees

Step-by-step explanation:

Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:

110+ x = 180

x = 70

Answer:

70°

Step-by-step explanation:

Solve 4x + 11 = k for x.
O A. x= -11
O B. x=-11
O C. x = 4k - 44

D. x= k-7

Answers

Answer:

4x + 11 = k

<=> 4x = k - 11

<=>

[tex]x = \frac{k - 11}{4} [/tex]

If a class has a total of 3400 points I can earn how many points would I need to get in total to get at least a 90?

Answers

hi wassup yo k bye daddy

Answer:

are you asking how many points are needed to get 90% in

a class that has a total of 3400 points ?

id so that is : 3060

Step-by-step explanation:

which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2

Answers

Answer:

Option D: x ≥ 1.

Step-by-step explanation:

Here we have the quotient:

[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]

Here we have two restrictions for the domain.

first, the denominator can never be zero, so x must be different than zero.

Second, the arguments of the square roots can not be negative.

The one in the denominator is always positive because we have the square of x.

So let's look at the values of x, such that:

15*(x - 1) ≥ 0

(x - 1) ≥ 0

x ≥  1

Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:

x ≥ 1.

The correct option is D

Dr. Miller decided to conduct an exercise in his class in which two students each flipped a coin and record how many times they received heads or tails. One student had five heads in a row, while the other student's coin toss had no pattern. Dr. Miller explained that, while the five-head pattern is interesting, it is BEST explained by

Answers

Answer: random events

Step-by-step explanation:

Based on the information given in the question, the scenario can be best explained by a random event.

Random event refers to the event that cannot be made exact and one whose outcome can't be predicted. An example is the sum of numbers that are gotten when two rolled dice are rolled.

From the experiment, one student had five heads in a row, while the other student's coin toss had no pattern depicts a random event.

Solve each system of equations by substitution. Clearly identify your solution.

Answers

Answer:

No solutions.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 1

2x - y = 3

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                         2x - (2x + 1) = 3[Distributive Property] Distribute negative:                                                    2x - 2x + 1 = 3Combine like terms:                                                                                         1 ≠ 3

Answer:

The system has no solution.

Step-by-step explanation:

y = 2x + 1

2x - y = 3

substitute the given value of y into the equation 2x - y = 3.

2x - ( 2x +1) = 3

Distribute minus sign.

2x - 2x + 1 = 3

Combine like terms.

1 ≠ 3

Since system has no solution for x, the system has no solution.

What is the domain of f(x)=(1/4)^

Answers

c ans

...................


A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5
feet casts an 8-foot shadow. What is the height of the light house, rounded
to the nearest foot? *

Answers

Answer: 80 feet

Step-by-step explanation:

We can write these as fractions and do cross multiplication with the numerator being the height of the object while the denominator being the length of the shadow:

5 * 128 = 8x

640 = 8x

80 = x

Thus, the height of the lighthouse is 80 feet tall.

can anyone help me here asapp,, I am in this question for nearly an hour

Answers

Answer:

See below

Step-by-step explanation:

Let side AB equal x. Since triangle ABC is equilateral, sides AB, BC, and Ac are all the same length, x. In any isosceles triangle(equilateral is a type of isosceles triangle) the median is the same as the altitude and angle bisector. This means we can say that AD is also a median. A median splits a side into two equal sections, so we can say BD = DC = x / 2. We are given that DC = CE, so we can also say CE = DC = x / 2. Now, we can use the pythagorean theorem to find the length of AD. So we get the equation:

AB^2 - BD^2 = AD^2

We have the values of AB and BD, so we can substitute them and solve for AD:

x^2 - (x/2)^2 = AD^2

x^2 - x^2 / 4 = AD^2

AD^2 = 3x^2 / 4

AD = x√3 / 2

DE is equal to the sum of DC and CE because of segment addition postulate, so we can say DE = DC + CE = x / 2 + x/ 2 = x. We can again use the pythagorean theorem to find the length of AE:

AD^2 + DE^2 = AE^2

(x√3 / 2)^2 + x^2 = AE^2

3x^2 / 4 + x^2 = AE^2

AE^2 = 7x^2 / 4

AE = x√7 / 2

Now, we know(from before) that AE squared is 7x^2 / 4. We can say EC squared is x^2 / 4 because EC is x / 2 and x / 2 squared is x^2 / 4. We can also notice that AE squared is 7 times EC squared because 7x^2 / 4 = 7 * x^2 / 4

Therefore, we can come to the conclusion AE^2 = 7 EC^2

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Step-by-step explanation:

The solution and answer are well written in the Pic above.

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Can someone help me with this math homework please!

Answers

Step-by-step explanation:

these are almost the simplest possible problems to get you a little bit familiar with the use of this line of thinking and to use these methods.

come on ! are you really not understanding this ?

I think you are not trying to learn and get better, you try to get others doing your work for you.

these problems are so simple that stating them here costs you more time than just solving them.

remember fractions ?

remember the problems to find the smallest common denominator for a list of fractions ?

the first question is exactly that.

what is the smallest common denominator of 3/4, 1/3 and 1/2 ?

because that is the number you need to multiply both sides to eliminate all fractions.

so, what is the smallest number that can be split by 4, 3 and 2 ?

is it 2 ? no, 4 and 3 can't do that.

is it 3 ? no, 2 and 4 can't do that.

...

is it 6 ? no, 4 can't do that.

...

is it 8 ? no, 3 can't do that.

...

is it 12 ? yeah ! all 3 can do that.

here a little tip : you start by multiplying all involved numbers, and then work your way back by eliminating some factors shared by some of the numbers.

here it would be

2×3×4 = 24

but 12 is sufficient, because 2 and 4 share another common factor of 2. so, we can divide 24 by 2 and get 12.

"isolate the variable" means having it only on one side of the equation.

so, what do you think ?

subtracting any constants does not change anything for "j".

from all the offered options only the subtraction of 1.1j eliminates j from one side.

the runners save.

you only need to translate the words into the corresponding mathematical symbols.

runner 1 has $112 already saved.

that is our starting value for this runner.

so, 112 + ...

received a $45 gift card. so, $45 are added.

so, 112 + 45 + ...

saves $25 each month (m). so, whatever the number of m is, there will be $25×m added to the account.

so, 112 + 45 + 25m

we know already, it is the second option.

but for training purposes let's look at runner 2 too :

he starts with $50 already saved.

so, 50 + ...

saves $60 each month (m). same principle as above.

so, 50 + 60m

if we want to know, when (after how many months) both runners will have the same amount of money, we simply need to say both equations are equal and solve for m.

-3x + 1 + 10x = x + 4

how do we solve this ?

by bringing all x to one side and contract them into one expression. and try to bring all constants to the other side and contact them too. and then do the reverse operation of the x expression (like a division for a multiplication).

1 + 7x = x + 4

1 + 6x = 4

6x = 3

x = 3/6 = 1/2

hurray, it is the first option !

Other Questions
Suppose that Portugal and Germany both produce beer and stained glass. Portugal's opportunity cost of producing a pane of stained glass is 4 barrels of beer while Germany's opportunity cost of producing a pane of stained glass is 10 barrels of beer.By comparing the opportunity cost of producing stained glass in the two countries, you can tell that ___ has a comparative advantage in the production of stained glass and ___ has a comparative advantage in the production of beer. Suppose that Portugal and Germany consider trading stained glass and beer with each other. Portugal can gain from specialization and trade as long as it receives more than ___ of beer for each pane of stained glass it exports to Germany. Similarly, Germany can gain from trade as long as it receives more than ___ of stained glass for each barrel of beer it exports to Portugal. Based on your answer to the last question, which of the following prices of trade (that is, price of stained glass in terms of beer) would allow both Germany and Portugal to gain from trade? a. 8 barrels of beer per pane of stained glass.b. 6 barrels of beer per pane of stained glass.c. 2 barrels of beer per pane of stained glass.d. 18 barrels of beer per pane of stained glass. Which point is in the solution set of this system inequalities?A. (0,0)B. None of theseC. (5,1)D. (3,7) Prudence, indeed, will dictate that governments long ______ should not be changed for light and transient causes. [1] Even today, the U.S. Supreme Court does not reflect the U.S. population. [2] Is was 1967 before the first black justice was appointed. [3] It was 1981 before the first woman was appointed to the Court. [4] It was 1986 before the Court had its first justice of Italian descent. [5] No person of Hispanic or Asian descent has yet been appointed as a member of the Court. The main idea sentence is .............1. Sentence 12. Sentence 2 3. Sentence 3 4. Sentence 4 5. Sentence 5 The nonmetals include which of the following groups? Use the periodic table to answer the question. Check all that apply. halogensalkali metalslanthanidesnoble gasesalkaline earth metals Can someone please help?Find the value of x for the right triangle. Which quotation provides the best evidence for the central idea of this excerpt?In this house Trujillo is Chief.The pale face of a young military man wearing a plumed bicorne hat and a goldbraided uniform looked down beneficently at my mother. Sometimes in her daydreams, her great love wore the handsome young dictator's face.Never having seen him, my mother could not know the portrait was heavily retouched. Read the excerpt from The Dark Game: True Spy Stories from Invisible Ink to CIA Moles.[T]he Germans committed some blunders in the way they sent their secret radio messages, giving the British help in their task. The first mistake of German intelligence was the error of arrogance, believing that the British were not up to the challenge of deciphering their messages. Another mistake they made was sending duplicates and even triplicates of some of their messages, with each one using a different cipher key.Which word best describes the tone of the passage?criticalapologeticobjectivediscouragedMark this and return Why the mode of pollination in maize is cross-pollination? Why it is important to cover the ear shoot with a butter paper bag before the emergence of silks? What could be the consequences if a few silks emerge before bagging? Un auto que acelera a razn de 2 m/S^2 ; Si para cierto tramo se observa que logra triplicar su rapidez en 6 s. Cul fue su rapidez al final de estos 6 segundos? TIME REMAINING01:42:04Illuminated manuscripts have historically been created and used by which two religious faiths?a.Christianity and Islamc.Hinduism and Catholicismb.Hinduism and Buddhismd.Islam and Buddhism Stewart Airlines is well known for providing excellent customer service to its flyers. The staff members inquire about each flyer's wants and needs and listen carefully to their responses. If a flyer has any specific requests, the staff members ensure that they are immediately attended to. In this scenario, Stewart Airlines illustrates _______, which has been found successful in spurring on the growth of customer relationship management. 3. Which of the following is a property of a metal?A. brittleB. bendableC. poor conductor of heat and electricityD. usually dull in appearance (b) Which of the following is a mixture?A.Sodium chloride solutionB.Sodium chlorideC.SodiumD.Chlorine A three-story building had its lightweight roof uplifted. Hint: low-rise three-story, non-residential, roof uplifted completely, but no damage to walls. a. Damage Indicator Number:_________b. Degree of Damage:_________ c. Expected Wind Speed:_________ d. EF-scale Rating: _______ According to recent research in the field of positive psychology (e.g., Baird 2004), an individual born and raised in Japan is more likely to experience _____ as a key element of satisfaction than is an individual born and raised in the United States. in both literature and art, a _______ is an object or a detail that represents an idea. Taylor must send a bad-news message to a client and indicate to her that he will be unable to meet a delivery deadline. What should Taylor do first Use the theoretical method to determine the probability of the outcome or event given below. The next president of the United States was born on Monday Consider a stock priced at $30 with a standard deviation of 0.3. The risk-free rate is 0.05. There are put and call options available at exercise prices of 30 and a time to expiration of six months. The calls are priced at $2.89 and the puts cost $2.15. There are no dividends on the stock and the options are European. Assume that all transactions consist of 100 shares or one contract (100 options). Suppose the investor constructed a covered call. At expiration the stock price is $27. What is the investor's profit