Point S is on line segment \overline{RT} RT . Given RT=4x,RT=4x, ST=5x-10,ST=5x−10, and RS=6,RS=6, determine the numerical length of \overline{ST}. ST .

Answers

Answer 1

Answer:

[tex]ST = 10[/tex]

Step-by-step explanation:

Given

[tex]RT =4x[/tex]

[tex]ST = 5x - 10[/tex]

[tex]RS = 6[/tex]

Required

Determine ST

Since S is on RT, we have that:

[tex]RT = RS + ST[/tex]

[tex]4x = 5x - 10 + 6[/tex]

[tex]4x = 5x - 4[/tex]

[tex]4x - 5x= - 4[/tex]

[tex]-x= - 4[/tex]

[tex]x= 4[/tex]

Substitute 4 for x in [tex]ST = 5x - 10[/tex]

[tex]ST = 5 * 4 - 10[/tex]

[tex]ST = 20 - 10[/tex]

[tex]ST = 10[/tex]

Answer 2

Answer: It Equals 8

Step-by-step explanation:

Point S is on line segment \overline{RT}

RT

. Given ST=5x-7,ST=5x−7, RT=4x+9,RT=4x+9, and RS=2x+7,RS=2x+7, determine the numerical length of \overline{ST}.

ST

.

\text{Label known information:}

Label known information:

R

S

T

2x + 7

5x – 7

RT = 4x + 9

RS+ST=

RT

Segment addition postulate

\color{darkgreen}{2x+7}+\color{darkblue}{5x-7}=

2x+7+5x−7=

\,\,\color{darkred}{4x+9}

4x+9

Substitute expressions

7x=

7x=

\,\,4x+9

4x+9

Combine like terms

-4x\phantom{=}

−4x=

\,\,-4x

−4x

3x=

3x=

\,\,9

9

\frac{3x}{3}=

3

3x

=

\,\,\frac{9}{3}

3

9

Divide by 33

x=

x=

\,\,\color{darkgreen}{3}

3

\text{Plug in value of }x\text{ to find }ST\text{:}

Plug in value of x to find ST:

ST=5x-7=5\left(\color{darkgreen}{3}\right)-7=8

ST=5x−7=5(3)−7=8

\text{You can plug }x\text{ into each expression:}

You can plug x into each expression:

Optional to check work

R

S

T

2(3) + 7

5(3) – 7

RT = 4(3) + 9

\text{Simplify:}

Simplify:

R

S

T

13

8

RT = 21

\text{Final Answer:}

Final Answer:

ST=\color{green}{\mathbf{8}}

ST=8


Related Questions

Question is attached!!​

Answers

Step-by-step explanation:

so sorry

don't know but please mark me as brainliest please

7. Elijah's puppy weighs 35 ounces. If he weighed 19 ounces at the last visit
to the veterinarian's office, what is the percent increase in the puppy's
weight rounded to the nearest whole number?

Answers

Answer:

40 make me brainliest whbsbsvssvvsgwvwv

Answer:

52%

Step-by-step explanation:

so 35 is a hundred and the divide by 2 which is 17.5 and round the colosestwhich is 52

i need help!!!!!!!!!!!​

Answers

Answer:

Step-by-step explanation:

g-(3,3)

h-(-5,3)

j- (5,-5)

Plz name me brainliest

Can someone plz help me with this????

Answers

what information are you given??

Answer:

since we cant see what info is given maybe these tips can help...

the 'b' is also called the y-intercept, the y-int is what you start of with. Example, if your parents give you $20 and you spend $5 every week, your y-int is 20

The m is the slope, so if your parents give you $20 and you spend $5 every week, your slope is -5 because your money is decreasing at a linear rate

the x is the input, so if you want to know how much money you have 2 weeks after you got $20, you would substitute x with 2, and solve to get $10

If two pounds of steak will serve 5 people, how many
pounds will be needed to serve 13 people?

Answers

Answer:

5.2 pounds will be needed

Step-by-step explanation:

TEXAS INSTRUMENTS TI-30X IX

- calculator i used

Answer:

5.2 approximately 5 pounds of steak

Step-by-step explanation:

if 5 people : 2 pounds of steak

then 13 people : ?

if more , less divides

13/5×2

26/5

5.2

Will give brainliest!

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s)
Complete the inverse function for the function given below.
(1) = 21 - 4
() =
T +

Answers

Answer:

[tex]f^{-1}(x) = x/2 +2[/tex]

Step-by-step explanation:

let [tex]f^{-1} (x)[/tex] = y

then f(y) = x

2y-4 =x

2y =x+4

y= x/2 +2

hence f^{-1} (x) = x/2 +2

m: -1/2 Point: (-1, 3) Solve for y=mx+b
Help

Answers

Answer:

y= (-1/2)x+(5/2)

Step-by-step explanation:

equation point slope

(y-y1)=m(x-x1)

y-3 = -1/2(x+1) add -3 to both sides and distribute

y=( -x/2) +(-1/2)+3 rewrite 3 as 6/2

y=(-1/2)x +(-1+6/2) solve

y= (-1/2)x+(5/2)

At Pablo’s Pizza Pie, medium cheese pizzas cost $12.50, large cheese pizzas cost $15, and a 3-liter bottle of soda costs $2.50. Kevin purchased one bottle of soda and 5 pizzas for his party. If he spent exactly $70, what combination of medium and large pizzas did he purchase?

Answers

Answer:

3 medium and 2 large pizzas.

Step-by-step explanation:

70= 2.5+(12.50x+15y)

70-2.5=67.5

Possibilities

67.5=12.5(1)+15(4) FALSE(72.5)

67.5=12.5(4)+15(1) FALSE (65)

67.5=12.5(2)+15(3)FALSE(52.5)

67.5=12.5(3)+15(2)

TRUE (67.5)

Solve: -68.1 * 0.8
A) -54.48
B) 68.9
C) 54.48
D) -68.9

Answers

Answer:

A) - 54.48

Step-by-step explanation:

Just plug it into the calculator like this;  (-68.1) x 0.8, which equals -54.48.

the answer is negative because you multiplied a positive # and a negative #.

Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 on these items. Let x represent the number of notebooks. Let y represent the number of pens. Enter an inequality that represents the situation.

Answers

Answer:if the notebooks cost 3.59 and pens cost 1.49, with x representing the notebooks and y representing the number of pens and an amount of $13, the inequality would be written as 3.59x+1.49y13

Step-by-step explanation:

Gregory sees an $80.00 jacket on sale at 30% off. How much will it cost after a 7% sales tax is applied?

Answers

IT'S B

HOPE THIS HELPED MARK ME BRAINLIST PLS HAVE A NICE DAY

If y is directly proportional with x and y=24 when x=6. What is the value of x when y=16

Answers

Answer:

x = 4

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 24 when x = 6 , then

24 = 6k ( divide both sides by 6 )

4 = k

y = 4x ← equation of proportion

When y = 16, then

16 = 4x ( divide both sides by 4 )

4 = x

A mudslide left 42 acre-feet of mud in a valley. The mud is being
removed at the rate of 5 acre-feet per day.

Answers

Answer:

8.4 days

Step-by-step explanation:

I'm not sure what the question is, but if it's how many days it would take to remove all the mud, you divide 42 by 5 and get 8.4.

Find the A distance B between and .

Answers

Step-by-step explanation:

26 should be the answer

Martha’s video game rental plan costs $18 per month .which table shows the sum of the amounts that Martha will pay for her video game rental plan over the next 5 months

Answers

Answer: not exactly sure what you meant but I don’t see a table so I’m guessing you should go for 90

Step-by-step explanation:

$$$ | months

$18 | 1 month
$36 | 2 months
$54 | 3 months
$72 | 4 months
$90 | 5 months

PLSSSSS HELP (brainliest)
What is the slope of the line that contains these points? x 5 6 7 8 y -5 -6 -7 -8

Answers

Answer:

-6/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ]. Use two of the given points to solve.

-6-6/-5-5

-12/-10

-6/5

Best of Luck!

Answer:

-1

Step-by-step explanation:

You have to divide with y being on top and x being on the bottom you then get -1

7/9 divided by 3/4 WITH A MODEL;)

Answers

That doesn't work.... they won't work.

I have a test I'm doing and it makes no sense. Here are some of the questions, and thx for the other answer.
-12 = p - 7
-7b = -35
-5/8w = -9
9/25 = p/125
-3a +4 = -14

Answers

third one is 72/5
I did the reciprocal of -5/8 which is -8/5 to both sides. Multiply -9 and -8/5 to get 72/5

Use the Distance Formula to write an equation of the parabola with directrix y=7 and focus (0,−7).

Answers

Answer:

Step-by-step explanation:

Find the Parabola with Focus (7,0) and Directrix x=-7 (7,0) x=-7. (7,0) ( 7 , 0 ) x=−7 x = - 7. Since the directrix is horizontal, use the equation of a parabola that opens left or right. ... Find the distance from the focus to the vertex. ... Substitute in the known values for the variables into the equation (y−k)2=4p(x−h) ( y - k ) 2 = 4 p ...

Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is   [tex]x^2 = -28y[/tex]

The focus = (0, -7)

The directrix:  y  =  7

The distance formula is given as:

[tex](x - a)^2+(y-b)^2= r^2[/tex]

From the focus (0, -7)

a = 0,  b = -7

r  =  y - 7

Substitute a = 0, b = -7 and r = y - 7 into the equation above:

[tex](x - 0)^2 + (y +7)^2 = (y - 7)^2\\\\x^2 + y^2+14y + 49= y^2-14y+49\\\\x^2 = y^2-y^2-14y-14y+49-49\\\\x^2 = -28y[/tex]

Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is [tex]x^2 = -28y[/tex]

Learn more here: https://brainly.com/question/19134275

Samir estimates the value of 3/5*16.1 which estimate is reasonable

Answers

Answer:

9.66

Step-by-step explanation:

Plz mark brainliest!!!

Is correct that is rounded to 30 BRAINLY PLS HELP ME OUT I FORGIT HOW TO DO THIS ASP !PLS !

Answers

Answer:

No, it doesn't.

Step-by-step explanation:

Whenever there's a "th" at the end of a mathematical word, it means decimal place. A tenth is the first number in a decimal. Ex. (Underlined is the tenth) 1.27. If you round them to the tenth, you would get 20 and 30. Therefore 20 does not round to 30 if rounding to the tenths.

Answer:

It would actually be 20.

Step-by-step explanation:

When rounding to the nearest tenth, you need to pay attention to the  second-to-last digit in the number. If the number is anything from 0 - 4 it rounds down. If the number is anything from 5 - 9, it rounds up.

Feel free to give brainliest.

Have an excellent day!

The regular price of a baseball hat is $14.45. If Carlos buys the baseball hat on sale for 20% off the regular price, how much change will he receive after paying with $20?

$_____

PLEASE HELP

Answers

14.45 times 0.20 = 2.89
14.45 - 2.89 = $11.56 after sale
$20 - $11.56 = $8.44 in change

what is the value of x

Answers

Answer:

x=12

Step-by-step explanation:

substitute the number 12 with X

x=12 because it just does. hope you got it.

whats the slope of this?

Answers

Answer: -3

Step-by-step explanation:

Alright y'all here is a easy one!!!!

Answers

Answer: Its C

Step-by-step explanation:  24 only pops up and the bottom of the equation and all of the other answers are being used in the problem.

help me please thanks in advance

Answers

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From up to down ;

_________________________________

The first box :

[tex]f(n) = 3. ({2})^{n - 1} [/tex]

The second box :

[tex]f(n) = 2. ({4})^{n - 1} [/tex]

The third box :

[tex]f(n) = 2. ({6})^{n - 1} [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

HEEEEEELP MEEEEEEEEEE PLZZZZZZZZZZZZZZZ WITH NUMBER 4

Answers

Answer:

4 2/3 cups of water

Step-by-step explanation:

The original recipe has 3 1/2 cups of potatoes and 3 1/4 cups of water.

4.

If you put 5 cups of potatoes, you can find the amount of water you need using a proportion.

3 1/2 cups of potatoes is to 3 1/4 cups of water as 5 cups of of potatoes is to x cups of water.

(3 1/2) / (3 1/4) = 5/x

(7/2) / (13/4) = 5/x

7/2 * x = 13/4 * 5

2/7 * 7/2 * x = 2/7 * 13/4 * 5

x = 130/28

x = 65/14

x = 4 9/14

4 9/14 as a decimal is 4.64 which is close to 4.6666...

Answer: 4 2/3 cups of water

Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
I need help

Answers

Answer:

$149

Step-by-step explanation:

As it is 35% off, $97 is therefore 65% of the full price [because 100 -35 = 65].

You can then divide 97 by 65 [1.49 to 2 d.p] to get 1% of the full price. 100% is the full price so we multiply 1.49 by 100 and the result of that is 149.

What does ø mean ? Can someone explain it based off the problem in the photo ?

Answers

Answer:

It means something mathematical

Step-by-step explanation:

The slashed zero glyph is often used to distinguish the digit "zero" ("0") from the Latin script letter "O" anywhere that the distinction needs emphasis, particularly in encoding systems, scientific and engineering applications, computer programming (such as software development), and telecommunications.

2) Which of the following are opposite rays?
(picture attached)
A. JG and JN
B. JH and KJ
C. NJ and GJ

Answers

Answer:

A. JG and JN

Step-by-step explanation:

hope this helped :-)

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