If TU = 6 units, what must be true?
O SU + UT = RT
O RT + TU = RS
© RS + SU = RU
TU + US = RS

If TU = 6 Units, What Must Be True?O SU + UT = RTO RT + TU = RS RS + SU = RUTU + US = RS

Answers

Answer 1

Answer:

SU + UT = RT

Step-by-step explanation:

Given that TU = 6 units, RT = 12 units and RS = 24 units.

So,

For finding US, we will subtract the length of RT and TU from RS.

US = RS - RT - TU

US = 24 - 12 - 6

US = 6 units

Putting all the given values in the given conditions, we get the first option right, which is:

SU + UT = RT

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Related Questions

Help help help help math math

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Answer:

A = 192

Step-by-step explanation:

3 x 8^2

3 x 64 = 192

Which is a better deal: A can of 3 tennis balls for $3 or a box of 10 balls for $9?

Answers

Answer:

a box of 10 balls for $9?

Step-by-step explanation:

because u buy 10 tennis balls for 9 dollars and the first one is not true

becuase u buy 3 balls of tennis with 3 dollars and the last answer is right

becuase you buy 10 balls for 9 that means its 1 dollar less for 10 balls

hope it helps

Which is the most popular shoe brand is it Experimental or Observational

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Answer:

hear is ur answer....

Step-by-step explanation:

Observation market research is a technique which involves directly observing consumers or another target audience in their natural environment - for instance, watching how shoppers stop outside a fashion retailer, what they are drawn to in a window display and which direction they go after entering the store.

fill in the table of values for y=2x+3

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Answer:

2 4 2 y-3

Yan po answer

If 1/3 is classified as a rational number, does 10/3 fall on the same classification? Why and why not​

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Answer:

Because it can't be written as a Ratio of two integers

What is the slope of the line

Answers

(1,4), (-1,3) 3-4/-1-1=-1/-2. -1/-2= 1/2 so 1/2 would be the slope

Answer:

Slope: 1/2

Step-by-step explanation:

Look at the file.

The diameter of the sun is about is about 1 390 000 km;

use scientific
notation to represent this diameter.

Answers

Answer:

1.39×10^6

Step-by-step explanation:

Hide 1 then count how many numbers are after it(6 numbers), that will be the power/exponent you will use

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

i think its b

Step-by-step explanation:

Pete sold 320 boxes of donuts with a dozen in each box. How many donuts did he sale in all?


















Im not in highschool im in 5th grade btw












PLEASE HELP!!

Answers

Answer:

3840

Step-by-step explanation:

320 boxes; 12 donuts in each box

This is a multiplication problem.

320 × 12 = 3840

Answer: 3840

The asnwer is 320 divided by 12

B1
F
Ayesha plays hockey.
Last year Ayesha scored 8 goals.
This year Ayesha scored 13 goals.
Calculate the percentage increase
in for the number of goals
scored.

Answers

Answer:

60% Increase

Step-by-step explanation:

Ayesha scored 5 more goals over her previous goal count of 8.  That means:

(5/8) = 0.60 or 60% increase.

A 60% increase means a factor of 1.6 (1 + 0.6)

(8 goals)*(1.6) = 13 goals

Answer:

13 _18= 5

5/13×100%=38.46%

How can I solve this?

Answers

Answer:

This is not possible with 2 equal symbols

7+4(r+3)=9r-6
show work pls AND HELP ASAP

Answers

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: r = 5[/tex]

Step-by-step explanation:

[tex]7 + 4(r + 3) = 9r - 6[/tex]

distribute 4 through the parentheses

[tex]7 + 4r + 12 = 9r - 6[/tex]

add numbers

[tex]19 + 4r = 9r - 6[/tex]

move the variable to the left hand side and change its sign

[tex]19 + 9r = - 6[/tex]

move the constant to the right hand side and change its sign

[tex]4r - 9 = - 6 - 19[/tex]

collect like terms

[tex] - 5r = - 6 - 19[/tex]

calculate the difference

[tex] - 5r = - 25[/tex]

divide both sides of the equation by -5

[tex] = \: \: \: \: r = 5[/tex]

hope it helps

Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle of apple juice. Due to the nature of the process and contractual agreements, Calvin’s facility must make and sell three jars of applesauce for every two bottles of apple juice. A jar of applesauce sells for $2. 20, and a bottle of apple juice sells for $3. 15. If the facility has annual overhead costs of $368,500, not including production costs, how many bottles of apple juice will the facility have sold when it breaks even every year? Round to the nearest whole bottle, if necessary. A. 38,789 b. 77,579 c. 116,368 d. 167,500.

Answers

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

When the facility breaks even, it would have sold 77,579 bottles of apples juice.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

[tex]\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}[/tex]

[tex]\displaystyle S= \frac{3}{2} \cdot J[/tex]

Therefore;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}[/tex]

Which gives;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500[/tex]

[tex]\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579[/tex]

The number of bottles of apple juice sold, J ≈ 77,579 bottles

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Christian buys a two-gallon bottle of juice for $18.16.


1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounce

How many fluid ounces of juice did Christian buy?

Answers

Answer:

256 fluid ounces

Step-by-step explanation:

2 gallons = 8 quarts

8 quarts = 16 pints

16 pints = 32 cups

32 cups = 256 fluid ounces

Identify the domain of the exponential function shown in the following graph :

Answers

Answer:

The domain of this exponential function is (all real numbers).

Step-by-step explanation:

The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.

I hope this helps!

i suck at this stuff
pls help asap
ty <3

Answers

Answer:

12*2=24

Step-by-step explanation:

-8y + 1 = -9y. solve for y.

Answers

Answer: y = -1

Step-by-step:

-8y + 1 = -9y

Subtract 1 from both sides
-8y = -9y-1

Add 9y to both sides to isolate y
y = -1

Simplifying
8y + -1 = 9y

Reorder the terms:
-1 + 8y = 9y

Solving
-1 + 8y = 9y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-9y' to each side of the equation.
-1 + 8y + -9y = 9y + -9y

Combine like terms: 8y + -9y = -1y
-1 + -1y = 9y + -9y

Combine like terms: 9y + -9y = 0
-1 + -1y = 0

Add '1' to each side of the equation.
-1 + 1 + -1y = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1y = 0 + 1
-1y = 0 + 1

Combine like terms: 0 + 1 = 1
-1y = 1

Divide each side by '-1'.
y = -1

Simplifying
y = -1

write an equation for the line that gose through the points (-2,6) and (2, 12)

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 6 ) and (x₂, y₂ ) = (2, 12 )

m = [tex]\frac{12-6}{2-(-2)}[/tex] = [tex]\frac{6}{2+2}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex] , then

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation.

Using (2, 12 ) , then

12 = 3 + c ⇒ c = 12 - 3 = 9

y = [tex]\frac{3}{2}[/tex] x + 9 ← equation of line

Which system of equations is equivalent to the following system? 3x 5y = 29 x 4y = 16 3x 5y = 29 â’x â’ 4y = 16 3x 5y = 29 â’3x â’ 12y = â’48 â’3x â’ 5y = 29 x 4y = 16 â’9x â’ 15y = 87 x 4y = 16.

Answers

The correct option is (B). [tex]3x+5y=29[/tex] And [tex]-3x-12y=-48[/tex].

Given Equations,

[tex]3x + 5y = 29......(1)[/tex]

[tex]x + 4y = 16.......(2)[/tex]

We have to find out  Which system of equations is equivalent to the Given system of Equations.

 1). System of equation are,

[tex]3x+5y=29\\-x-4y=16[/tex]

taking - common and transposing to R.H.S we get,

[tex]x+4y=-16[/tex]

This equation is not equal to equal (2), so the option (1) is not the system of equation equivalent to given Equations.

Similarly, on checking other options,

2. system of equation,

[tex]3x+5y=29\\-3x-12y=-48[/tex]

Taking -3 common from L.H.S. we get,

[tex]-3(x+4y)=-48\\\\x+4y=\dfrac{-48}{-3}[/tex]

[tex]x+4y=16[/tex].

Hence the Above system of equation is equivalent to the given system of equation.

So, there is no need to check option (3) and option (4).

Hence the correct option is (B).

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HELP!! WITH MATH- Percent increase and decrease!! CHECK THE PHOTO! (I’LL GIVE BRAINLIEST TO THE RIGHT ANSWERS)

Answers

Answer: 1. 24

2. 32

3. 22

4. 16

5. 14

6. 34

7. 44

8. 30

9. 24

10. 50

Step-by-step explanation: ive spent lots of time for these and all of them are correct. pls give brainliest

What does 100+100-200+90+20=

Answers

Answer:

110

Step-by-step explanation:

Answer:
110

step-by-step explanation:
You havew 100 then add 100 then it becomes 200, you then subtract 200 and now you have 0 you then add 90 and add 20 which equalls to 110

Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers

Answers

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.

Algebraic identities are expansion of powers of algebraic expressions.

One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

Given the question,

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]

Given the form, [tex]b - c\sqrt{5}[/tex],

On comparison,

b = 12

c = 4

Learn more about algebraic identities here

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PLZ HELP



A shipwreck is 300 meters away from a diving station. An undersea explorer travels away from the station at a speed of 2 meters per second. The explorer is x meters away from the station and will reach the shipwreck in 100 seconds. What is the value of x?

Answers

Answer:

  x=100

Step-by-step explanation:

2x + 100 = 300

    -100    -100

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

     2x =  200

     ----    -----

      2       2

       x=100

I really need help! Please, please, PLEASE do not give me a link.


Last year, Kristen read a total of 30 fiction and non-fiction books. The number of non-fiction books was 5 less than 4 times the number of fiction books.

What is the total number of FICTION books that Kristen read last year?

A. 5
B. 7
C. 23
D. 25

Answers

Answer:

7 fiction and 23 non- fiction

Step-by-step explanation:

The number of non-fiction read was 5 less than 4 times the number of fiction books.

Assume fiction books are x.

An equation representing this would be:

x + (4x - 5) = 30

5x - 5 = 30

5x = 30 + 5

x = 35 / 5

x = 7 fiction books

Non-fiction books:

= 4x - 5

= 4 * 7 - 5

= 23 non - fiction books

What is the answer to 27 · 64?

Answers

Answer:

1728

Step-by-step explanation:

27

64

-----------

108

1620

1728

Answer:

1728

Step-by-step explanation:

27•64= 0108+162 =1728

HELP PLEASE IS IMPORTANT!
Solve the equation by using the Quadratic Formula.
2x 92-5

Answers

See attachment for answer and math work.

help pls the image below represents ____

Answers

Answer:

I think it's a Box Plot, hope this helps

Graph 7x+y=10x-4.
Show your work and explain the method used to determine the graph.

Answers

The graph must pass through the y-axis at y = -4 with a positive slope of 3

Given the expression

7x+y=10x-4.

Write the given equation in standard form to have:

7x+y=10x-4.

y = 10x - 7x - 4

y = 3x - 4

From the equation, the slope is 3 and the y-intercept is -4

The graph must pass through the y-axis at y = -4 with a positive slope of 3.

Learn more on equation of a line here: https://brainly.com/question/13763238

Rebah and her twin brother are planning a birthday party at Pizza Pete's. There is a S64.75 charge to reserve a party room plus $4.95 per person charge for lunch
Explain how to find the greatest number of people that can attend the party for $175.00. Show your work, and state the number of people.
QUICKKK PLZZ

Answers

Answer:

22 people

Step-by-step explanation:

Step 1: I first subtracted $64.75 from $175.00 so that I knew how much would be leftover after the charge of the room, because you can't count that cost. When I did this, I got $110.25. So then I knew how much was paid other then for the room.

Step 2: I then divided $110.25 by $4.95, so I would get the amount of people who went to the party, since each person costs $4.95. When I divided, I got 22.

So that would be my answer. I hope that helps. :)

Algebra 2 How many Real solutions does the equation have? X-1 squared = x-4

Answers

The solutions are where the lines cross each other.

The lines only cross each other once so there is 1 real solution.

Answer: 1

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