Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. You must show all of your work to receive credit.

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Given That The Two Triangles Are Similar, Solve For X If AU = 20x + 108, UB = 273, BC = 703, UV = 444,

Answers

Answer 1

Answer:

x = 18

Step-by-step explanation:

First, let's find the ratios between the two triangles

We'll use AV and AC

372 ÷ 589 = 12/19

All of the sides of the smaller triangle are 12/19 of the bigger triangle

Now let's find x

We know that AU + UB = AB

So it's 20x + 108 + 273 = AB

12/19 of a bigger triangle side equals a small triangle side

(12/19)AB = AU

For this equation multiply both sides by 19/12 to isolate AB

(12/19)AB x 19/12 = AU x 19/12

AB = (19/12)AU

Now we have this

20x + 108 + 273 = (19/12)(20x + 108)

20x + 381 = (19/12)(20x + 108)

Distribute the 19/12

20x + 381 = 95/3x + 171

Move all like terms to one side

20x + 381 = 95/3x + 171

       - 171                 - 171

20x + 210 = 95/3x

- 20x           - 20x

Don't forget about common denominators

210 = 95/3x - 60/3x

210 = 35/3x

Multiply both sides by 3

210 x 3 = 35/3x x 3

630 = 35x

Divide both sides by 35

630/35 = 35x/35

x = 18

Answer 2

Answer:

Step-by-step explanation:

[tex]\frac{20x+108}{20x+381}[/tex] = [tex]\frac{372}{589}[/tex]

589( 20x + 108 ) = 372( 20x + 381 )

11780x + 63612 = 7440x + 141732

4340x = 78120

x = 18

Given That The Two Triangles Are Similar, Solve For X If AU = 20x + 108, UB = 273, BC = 703, UV = 444,

Related Questions

A= 12b1+b2h ; solve for b1

Answers

Answer:

b1 = 2A/h – b2

Step-by-step explanation:

What type of number is
[tex] \sqrt{7} [/tex]
O A rational number O A whole number O An irrational number O A decimal that ends​

Answers

Answer:

C

Step-by-step explanation:

It's not rational. It can't be represented as a fraction.

It can't be a decimal the ends. If I told you want the hundredth digit was, you could not establish the 101st digit.

If you try to find the square of 7 using the calculator that comes with winds, you get an answer that goes out to 2 followed by the decimal followed by 31 digits. You cannot find a pattern nor can you find an ending.

sqrt(7) is irrational.

Which of the following equations is of a parabola with a vertex at (3, 0)?

y = (x - 3) 2
y = (x + 3) 2
y = x 2 - 3
y = x 2 + 3

Answers

The answer is y = (x - 3)^2.

I hope this helps! Please give brainliest.

Does this graph show a function? Explain how you know.
A. No; the graph fails the vertical line test.
• B. No; there are y-values that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.

Answers

Answer:

C. Yes; the graph passes the vertical line test.

Step-by-step explanation:

Reasons the others are wrong:

A. It does pass the vertical line test.

B. Y-values can have any x values. It is x-values that can't have multiple y-values.

D. There are y-values with more than one x-value on this graph so that's just false. Even if it were true, that still doesn't invalidate it due to the reasons given in Answer B.

Given the equation, 1 + 6k = 25, for some value of k, what is the value of k +7 for the same value
of k?

Answers

Step-by-step explanation:

1+6k=25

collect like terms

1-25=6k

-24=6k

divide both sides by 6

-4=k

;- k= -4

Ms. Jones has 108 inches of wood. It takes 18 3/8inches to make a picture frame. How many picture frames can she make?

Answers

You’ll basically would need to divide 108 by 18 3/8.

108 / 18 3/8= 5.87

We round the number down to 5 because that the amount of frames we can actually make.

Answer: 5

Convert 1 Iinto an improper fraction.

Answers

Answer:

only mixed number can be changed into improper fraction according to my khowlage of grade7

Step-by-step explanation:

thank you

Which of the following is equivalent to 0.00451?
A. 4.51x10^-3
B. 45.1x10^-3
C. 0.451x10^-3
D. 4.51x10^-2

Answers

Step-by-step explanation:

0.00451

[tex] = \frac{451}{100000} [/tex]

[tex] = \frac{4.51}{1000} [/tex]

[tex] = \frac{4.51}{ {10}^{3} } [/tex]

[tex] = 4.51 \times {10}^{ - 3} (option \: a)(ans)[/tex]

The required scientific notation  is A. 4.51x10⁻³  is equivalent to 0.00451. It's in scientific notation where 4.51 is between 1 and 10, and -3 is the exponent representing the decimal shift.

In scientific notation, a number is written in the form of "a × 10ⁿ" where "a" is a number between 1 and 10 (including 1 but excluding 10), and "n" is an integer exponent.

The goal is to represent the number in a more compact form using powers of 10.

0.00451

To express this in scientific notation, we need to find "a" and "n" such that "a × 10ⁿ" equals 0.00451.

The option A, 4.51 × 10⁻³ is the correct choice because:

"a" is 4.51, which is between 1 and 10.

"n" is -3, as we are shifting the decimal point three places to the left to convert 0.00451 to 4.51 × 10⁻³.

Therefore, 0.00451 is equivalent to  scientific notation option A. 4.51 × 10⁻³, which is option A.

learn more about  scientific notation here

brainly.com/question/19625319

#SPJ3

14. Find Mean from given data.
X .10 15 20 25 .
f . 5 10 7 8 . ​

Answers

Answer:

I can`t really tell what order these number sets are in so let me know if you needed a different answer.

Mean = Average = Add all the numbers together and divide it by the amount of numbers.

X = 17.5

f = 7.5

An angle measures 2 more than the measure of its complementary angle

Answers

Answer:

let x be the complementary angle

then x + 2 is the angle

x+2 +x =90

2x = 88

x = 44°

x + 2° = 46°

What is the correct answer to this multiple choice question? Please help!

Answers

Answer:

[tex]\sqrt[3]{4}[/tex]

Step-by-step explanation:

To solve this we need to take the square root of both sides with a certain degree.

[tex]4^6 = a^{18}[/tex]

We can take the root of both sides with a degree of 18.

[tex]\sqrt[18]{4^6} = \sqrt[18]{a^{18}} \\(4^6)^{\frac{1}{18} } = a\\a = 4^{\frac{6}{18} } = 4^{\frac{1}{3} } = \sqrt[3]{4}[/tex]

It's helpful to understand that when a number has its square root taken with some degree n. The square root can be represented as just the value raised to the (1/n) power.

It's also helpful to understand that when you raise something to the power of another power, you can simply multiply the powers together. For instance (2^3)^5 = 2^15

Find the value of x to the nearest tenth. *Will Give Brainliest*

Answers

Answer: x = 8.77

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

4²+5² = h²

41 = h²

h = √41

Therefore two sides of the rectangle will √41

No using pythagoreus theorem in the bigger triangle

6² + (√41)² = x²

x² = 36+41

x² = 77

x = √77

x = 8.7749643874

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 8.77

Please click thanks and mark brainliest if you like

Answer:

x=8.6 c.x=5.7 d.x=26.3. d.x=26.3 is the answer

3. Which property of similarity can be used to prove triangles STR and VWU are similar?

Answers

Answer:

Not enough information

Step-by-step explanation:

Similar triangles must have congruent corresponding angles and proportional corresponding sides.

Answer:

not enough information

Step-by-step explanation:

What is the reminder? Help

Answers

Answer:

6

Step-by-step explanations:

The remainder is what is left over after dividing whatever from d. So if you add one to d, then the remainder would increase from 5 to 6.

Hope this helps.

Pine Lane Middle School's student council has 10 seventh graders and 8 eighth graders serving as representatives. A subcommittee containing 3 seventh graders and 3 eighth graders is formed to organize a student dance. How many different subcommittees can be formed

Answers

Hey there! I'm happy to help!

When dealing with picking things and finding the number of possibilities, we can be dealing with two different types of things: permutations or combinations. We use permutations when order is important to the groups and we use combinations if order is not important.

It appears here that order is not important here as the subcommittee doesn't have to be in a specific order, so we will be using combinations.

So, we have ten seventh graders to choose from. Then we will have 9, and then 8. So, we multiply these numbers of choices.

10×9×8=720

Now, we need to divide by 6. This is to show that order doesn't matter. Why? Because there are  6 possible ways to organize 3 seats on the committee (3×2×1), and we want to divide out all of the different orders so it is just the specific group of people and not their different organizations that are counted.

720/6=120

Now, we need to find this with the eighth graders.

8×7×6=336

And we divide by the number of seats factorial (3 seats for the eighth graders, so 3×2×1=6 again)

336/6=56

Now, we multiply our numbers for seventh and eighth graders to find all off the possibilities.

120×56=6720

So, there are 6720 subcommittees possible.

Have a wonderful day and keep on learning! :D

The diameter of a wheel of a car is 30cm. If the car travels at an average speed of 13.2m/s, find the number of revolutions made by the wheel per hour, giving your answer correct to the nearest whole number.

Answers

Answer:

Approximately [tex]50420[/tex] revolutions (rounded to the nearest whole number.)

Step-by-step explanation:

Convert the diameter of this wheel to meters: [tex]d = 30\; \rm cm = 0.30\; \rm m[/tex].

Circumference of this wheel:

[tex]\pi \, d = \pi \times 0.30\; \rm m \approx 0.942\; \rm m[/tex].

Distance travelled in one hour:

[tex]\begin{aligned}v \cdot t &= 13.2 \; \rm m \cdot s^{-1} \times 3600\; \rm s \\ &= 47520\; \rm m\end{aligned}[/tex].

Number of revolutions required for covering that distance:

[tex]\displaystyle \frac{47520\; \rm m}{(\pi \times 0.30\; \rm m)} \approx 50420[/tex].

Geometry, please answer question ASAP

Answers

Answer:

Triangle ACB =~ triangle DFE, by adding 6 units to each side of both triangles their relationship will not change. They are still similar.

Step-by-step explanation:

The answer isn't great in all honesty but it's been a long time since I took geometry and I don't 100% remember the proper way of stating it. Though I am 100% sure they stay similar.

Sorry couldn't be of more help but figured something was better then nothing

How do I do question 2?

Answers

Answer:

518

Step-by-step explanation:

solution:

=8^2^×1^+1+6^2^×1^-1

=8^3+6^1

=8^3+6

=8×8×8+6

=512+6

=518

Inverse proportion
fourteen people could paint 35 identical plates in 2 hours
At this rate, how long would it take 20 people to paint 60 identical plates?
I know answer I just need explanati
:]

Answers

Answer:

let the number of plate be n,rate be r and number of people be p

P=K(constant)/(n*t)

K=PNT

K=14*35*2

K=980

T=(K)/(PN)

T=980/(20*60)

T=980/1200

T=0.817 hours=49 minutes.

y = 2x + 5
2x + y = 4
solve the equation

I WILL MAKE U BRAINIEST

Answers

2x + y=4
So, 2x+2x+5=4
x=-1/4
y=2x+5=9/2

How do you fine the answer ? Help me pls

Answers

Answer:

130

Step-by-step explanation:

Which inequality represents all possible solutions of 4≤−3x−2 or 5x+1≥16?

Answers

Please my answer, hope it’s help

17. what is the equation of the line with…

Answers

Answer:

[tex]y=\displaystyle \frac{1}{2}x+1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

We're given the x-intercept, -2, and the y-intercept, 1. We can directly plug the y-intercept into the equation [tex]y=mx+b[/tex] :

[tex]y=mx+1[/tex]

Now, we must solve for the slope. The x-intercept -2 gives us the point (-2,0), since the x-intercept occurs when y=0. Plug this point into the equation and solve for m:

[tex]0=m(-2)+1\\0=-2m+1\\-1=-2m\\\\\displaystyle m=\frac{-1}{-2} \\\\\displaystyle m=\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]\displaystyle \frac{1}{2}[/tex]. Plug this back into [tex]y=mx+1[/tex]:

[tex]y=\displaystyle \frac{1}{2}x+1[/tex]

I hope this helps!

Write 0.2 repeating as a fraction in simplest form (The 0.2 is repeating, so the 2 has the repeating bar above it, just need someone to solve this, it would help a lot thanks.)

Answers

If x is the number 0.222…, then 10x = 2.222…. Subtracting x from 10x eliminates the fractional part, so that

10x - x = 2.222… - 0.222…

==>   9x = 2

and solving for x gives x = 2/9.

I need help right now!!!ASAP

Answers

Answer:

Points Q, J and M are not collinear

Step-by-step explanation:

Three points cannot be collinear if they are not coplanar (on the same plane), and M is on a different plane than Q. J is located on both planes.

The functions f and g are defined as follows.

f(x) = 2x^3+ 2 g(x) = 2x-3


Find f(-4) and g(-7).

Simplify your answers as much as possible.

Answers

1. F(-4)= 2(-4^3) + 2
F(-4)= 2(-64) +2
F(-4)= -128 +2
So F(-4)= -126 is your answer
2. G(-7)= 2(-7)-3
G(-7) = -14 -3
So G(-7)= -17

Hope this helps

Three is subtracted from a number, and then the difference is divided by eleven. The result is twelve. What is the
number?

Answers

Answer:

The number is 135.

Step-by-step explanation:

1) Form an equation

Three is subtracted from a number

⇒ [tex]x-3[/tex] (where x is "the number")

The difference is divided by 11

⇒ [tex]\displaystyle \frac{x-3}{11}[/tex]

The result is 12

⇒ [tex]\displaystyle \frac{x-3}{11}=12[/tex]

2) Solve the equation

[tex]\displaystyle \frac{x-3}{11}=12[/tex]

Multiply both sides by 11

[tex]\displaystyle \frac{x-3}{11}*11=12*11\\\\x-3=132[/tex]

Add 3 to both sides

[tex]x-3+3=132+3\\x=135[/tex]

Therefore, the number is 135.

I hope this helps!

Please help its due in 30 minutes will mark braniliest

Answers

Answer:

I think it is segment...........

It is endpoints for sure as the two endpoints make a line. Pls mark me brainliest

4. What is the domain?

Answers

Domain: x>0 because it’s from 0 to infinity

Is 9/72 rational or irrational

Answers

i think answer is rational

Answer:

Rational

Step-by-step explanation:

The Numerator and Denominator is a whole number and its a fraction

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