Point S is between points R and T on RT. Use the information to write an equation in terms of x. Then solve the equation and find RS, ST, and RT.
RS = 2x - 8
ST = 3x - 10
RT = 17

RS =
ST=
RT=

Answers

Answer 1

Answer:

RS=6

ST=11

Step-by-step explanation:

answer is above

Answer 2

The value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Point S is between points R and T on RT.

RS = 2x - 8

ST = 3x - 10

RT = 17

From the above information:

RT = RS + ST

17 = 2x - 8 + 3x - 10

17 = 5x - 18

35 = 5x

x = 35/5

x = 7

RS = 2x - 8 = 2(7) - 8 = 6 units

ST = 3x - 10 = 3(7) - 10 = 11 units

RT = 17 units

Thus, the value of x is 7 and the measure of the line segment RS is 6 units, ST = 11 units, and RT = 11 units.

Learn more about the linear equation here:

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Related Questions

Using the following graph, determine the slope of the line,


The slope of the line is

Answers

Answer:

-2

Step-by-step explanation:

Just choose any two points and calculate the slope. The way to calculate the slope between two points (x1, y1) and (x2, y2) is (y2-y1)/(x2-x1)

Solve mobiles plz help I’m confused

Answers

Answer:

Gold square = 4

Blue triangle = 3

Step-by-step explanation:

Red hexagon = 6, and there are 4 red hexagons.  So the total is 24.

Therefore, the total on the other side must also be 24.

That means the 4 blue triangles add up to 12, and the 3 gold squares add up to 12.

So each blue triangle is 3, and each gold square is 4.

Gary had a pizza party for his friend 14 people showed up,and they had 50 pieces of pizza. How many pieces of pizza did each person have

Answers

Answer:

3

Hope this helps

Answer:

3

Step-by-step explanation:

each friend would have 3 pizzas

Solve the equation for x: 3x=.5

Answers

Answer:

[tex]x=\frac{1}{6}[/tex] or [tex]x=1.6667[/tex]

Step-by-step explanation:

All you have to do is divide both sides by 3. When dividing decimals it's sometimes easier to change it to a fractions like so: [tex]x=\frac{1}{2} /\frac{3}{1}[/tex] to divide fractions you multiply the reciprocal like this: [tex]x=\frac{1}{2} * \frac{1}{3}[/tex] to get [tex]x=\frac{1}{6}[/tex]

Need help?!!??!!!!!!!

Answers

Answer:

Step-by-step explanation:

m : n = 2 :1

A(1 , 3 )    ;  x₁  = 1 & y₁ = 3

 B(7, 8)     ; x₂ = 7  & y₂ = 8

Required Point = [tex](\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]

                        [tex]=(\frac{2*7+1*1}{2+1},\frac{2*8+1*3}{2+1})\\\\=(\frac{14+1}{3},\frac{16+3}{3})\\\\\\=(\frac{15}{3},\frac{19}{3})\\=(5,6.3)[/tex]

What is the value of x?
A.) х= 21
B.) x= 28
C.) x= 35
D.) x= 37

Answers

Answer:

I think the answer is B 28 sorry if I am wrong

Answer:

x=37

Step-by-step explanation:

find the perimeter ​

Answers

Answer:

it is 32

Step-by-step explanation:

15 divided by 3 is 5 and if you are trying to find the second triangles sides you would subtract 5 from 12 to get 5 and 2. then you would multiply all the sides by 3 and add them together to get 32.

a and b are positive numbers.
a is inversely proportional to b.
when a=4,b=36
find value of a when b=a

Answers

Answer:

a = 12

Step-by-step explanation:

Given that a is inversely proportional to b then the equation relating them is

a = [tex]\frac{k}{b}[/tex] ← k is the comstant of proportion

To find k use the condition when a = 4, b = 36, then

4 = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )

144 = k

a = [tex]\frac{144}{b}[/tex] ← equation of proportion

When b = a , then

a = [tex]\frac{144}{a}[/tex] ( multiply both sides by a )

a² = 144 ( take square root of both sides )

a = ± [tex]\sqrt{144}[/tex] = ± 12

However a is a positive number, thus a = 12

3(2x + 5) + 4 = 7
what the answer to c

Answers

Answer:

-2

Step-by-step explanation:

Opening bracket,

6x+15 +4=7

6x=7-19    (I took 15 and 4 to other side and thus they became negative)          

x=-12/6

x=-2

Pls mark me brainliest

Answer:

The answer is x = -2

Step-by-step explanation:

FOIL

3*2x + 3*5 + 4 = 7

6x + 15 + 4 = 7

6x + 19 = 7

Subtract 19 from both sides.

6x =  -12

Divide both by 6.

x = -2

What is equivalent to 6/9​

Answers

Answer:

Answer: 2/3

Step-by-step explanation:

6 and 9 are divisible by 3 so if you divide the numerator and denominator by 3 you obtain the equivalent fraction 2/3.

You can also multiply the numerator and denominator by the same amount to obtain an equivalent fraction.

please help.

The price of an item at a store is p. The tax that is charges is 7%. The expression below shows the total amount that has to be paid. Mark all that apply. look at the picture I attached.

Answers

Answer:

E and D

Step-by-step explanation:

Please help me............

Answers

Answer: Answer: I’m not big brain

Step-by-step explanation:

Step-by-step explanation:

Solve

44 = 2(3x - 5)

Answers

6x-10=44
-10. -10
6x=34
/6 /6
X=5.67

Answer:

x = 9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

44 = 2(3x − 5)

44 = (2)(3x) + (2)(−5) (Distribute)

44 = 6x + −10

44 = 6x − 10

Step 2: Flip the equation.

6x − 10 = 44

Step 3: Add 10 to both sides.

6x − 10 + 10 = 44 + 10

6x = 54

Step 4: Divide both sides by 6.

[tex]\frac{6x}{6} = \frac{54}{6}[/tex]

x = 9

Hope it helps!!

Please help me with this! Legitimate answers only please!
Fill in the blanks with the proper/right options for the problem.

Answers

Answer:

x= amount of subscriptions

y= total amount

m= $5 rate of change

b= $15 a starting point....

Eq: y=5x+15

Solve for b in the following equation.

- 2 = 4

b = 12
b = 24
b = 36
b = 1

Answers

Answer:

B= 36

Step-by-step explanation

I reported the other answers and they got deleted this is the right answer

What is the rate of change (slope) of the function y = −7x?

Answers

The rate of change is -7, because the standard equation is y = mx + b, where m is the slope and b is the y intercept. Here, m is what is attached to x, which is -7, s0 -7 is the slope.

-7

A diver is standing on a platform 25 feet above the pool. He jumps from the platform at an initial velocity of 10 ft/s. Use the formula h(t)=-16t^2+vt+s where his height above the water at time t seconds, v is the starting upward velocity, and s is his starting point to write an equation to model the dive

Answers

Answer:

(one thing to notice, the units of the 16 in the height equation should be ft/s^2, because this is an acceleration)

We know that:

v is the initial vertical velocity, and we know that it is 10ft/s

then:

v = 10ft/s.

s is the initial position, and we know that he starts on a platform 25ft above the pool, then if we define the pool as the 0 in the vertical axis, we have:

s = 25ft

Now we can write the height as:

h(t) = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now with this equation, we can find the time it takes for the diver to hit the pool.

Remember that we defined the pool as the 0 in the vertical axis, then when h(t) = 0ft the diver will enter in the pool.

With that, we can find the value of t = time, that it takes for the diver to enter the pool.

h(t) = 0 ft = (-16ft/s^2)*t^2 + (10ft/s)*t + 25ft.

Now we can solve this with the Bhaskara equation:

[tex]t = \frac{-10m/s +. \sqrt{(10m/s)^2 - 4*(25ft)*(-16ft/s^2)} }{-16ft/s^2*2} = \frac{-10ft/s +- 41.23ft/s}{-32ft/s^2}[/tex]

We will have two solutions:

t = ((-10 + 41.23)/-32) s = -0.96s

t = (-10 - 41.23)/-32) s = 1.6 s

The negative has no physical sense, so we can discard that option.

This means that the only correct option is 1.6 seconds, then the time that it takes for the diver to enter the pool after he jumps is 1.6 seconds.

Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table below. Should Stefan
rent a phone accessory store? Explain.

Answers

Answer/Step-by-step explanation:

If total income is more than total expenses, she should rent it. If the total income is less than the total expenses, she should not rent it.

Total income estimated in a month:

Sales: $950 per week = 950*4weeks = $3,800 per month

Services: $2,875 per month

Total estimated income per month = $(3,800 + 2,875) = $6,675

Total expenses estimated in a month:

Rent: $4,500 per month

Travel: $7.5 per day = 7.5*7days = $52.5 per week.

Assuming there are 4 weeks in a month, expenses for travel in a month will be:

$52.5*4 = $210

Merchandise: $1,650 per month

Total expenses estimated per month = $(4,500 + 210 + 1,650) = $6,360

Total estimated income ( > total estimated expenses in a month, therefore, Stefan should rent the phone accessory store. She will make profit.

preform the indicated operation 2 3/8 × 5 3/4​

Answers

The answer will come out as 13.65625

Answer:

It is 13 21/32 hope this helps

Tom needs 9/10 pints of glue for his art project. He has 7/10 pints of glue. How much more glue does he need? write in simplest form.​

Answers

Answer:

7/10-5/10= 2/101/5

Step-by-step explanation:

hope this is right and i hoped this helped

Answer:

1/5 pint

Step-by-step explanation:

given:

Amount of Glue needed = 9/10 pints

Amount of Glue available = 7/10 pints

Amount of extra glue needed = Amount of glue needed - Amount of Glue Available

= 9/10 - 7/10

= (9-7)/10

= 2/10   (simplify by dividing both numerator and denominator by 2)

= 1/5 pint

Read the proof.
What is step 2?

sin(2x) = cos(x)cos(x) – sin(x)sin(x)
sin(2x) = sin(x)cos(x) – sin(x)cos(x)
sin(2x) = cos(x)cos(x) + sin(x)sin(x)
sin(2x) = sin(x)cos(x) + sin(x)cos(x)

Answers

Answer:

The correct answer is D) sin(2x) = sin(x)cos(x)+sin(x)cos(x)

Step-by-step explanation:

Right answer on Edge

The step 2 will be;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The steps are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Now,

Since, The steps of the solution are;

Step 1; sin (2x) = sin (x + x)

Step 3; sin (2x) = 2 sin (x) cos (x)

Hence, We get;

All the steps as;

⇒ sin (2x) = sin (x + x)

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

⇒ sin (2x) = 2 sin (x) cos (x)

Thus, The expression for step 2;

⇒ sin (2x) = sin (x) sin (x) + cos (x) cos (x)

Learn more about the mathematical expression visit:

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3x-(2-4x) x is a variable
3x-(2+4x)
PLEASE ANSWER ASAP TEACHER CALLED ON ME

Answers

Answer:

Your answer is: - x - 2

Simplify the expression.

Step-by-step explanation:

Hope this helped : )

Sierra used her debit card to purchase seven Monster drinks for $2.25 each.
How much did she spend on the monster drinks? Write and solve a math problem.
Will reward brainlest

Answers

15.89$ spent on Seven monster drinks hope it helped:)

Answer:

$15.75

Step-by-step explanation:

If the monster drinks are $2.25 each, and she bought 7 of them, the answer is  15.75, because 2.25 x 7 = $15.75

HOPE IT HELPS :DDD

Convert 0.0002 ug to mg:
Please help

Answers

1 ug = 0,001 mg

0,0002 ug= x

x= (0,0002×0,001)/1

x= 2e-7

A female hippopotamus can weigh 48,000
ounces. How many tons can a female
hippopotamus weigh?

Answers

Answer:

1.5 tons

Step-by-step explanation:

1 US tons is equal to 32,000 ounces. Using this, you divided 48,000/32,000 =  12/8 = 1.5 tons

D is between C and E. CE = 6x, CD = 4x + 8, and DE = 28. Find CE.
Please Answer ASAP!!!
(BTW it's high school geometry)

Answers

the answer is 48 bc 4x+8+28=6x then simplify to get 4x+36=6x subtract 4x to get 2x=36 divide by two to get x=18 6x8=48

Answer:

CE=108

Step-by-step explanation:

*I don't have my phone with me so I can't add a picture of what I drew*

First, draw a line. On one end, write C. On the other end, write E. In the middle of them, write D. The question states that CE=6x, so on the bottom of the line, write 6x. On top on the first half write 4x+8 (between C and D). On the other half between D and E write 28.

According the the information we have been given and the diagram we made, CD+DE=CE. Hence, (4x+8)+28=6x

(4x+8)+28=6x (subtract four from both sides)

8+28=6x-4x (combine like terms)

36=2x (divide two from both sides)

x=18

Now, substitute 18 for x in 6x (CE=6x)

CE=6(18)

CE=108

I hope this helped :DD

Help needed immediately. :( this is my my third time posting and no one is helping

Answers

Answer:

I know for a fact its the first and third ones but if there are more than those two I don't know

Step-by-step explanation:

Answer:

triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer

hope it helps you!

Mrs. Clark purchased a box of pencils.
The purchase price was $1.80 for 12
pencils. How much did she pay for
each pencil?

Answers

Answer:

0.15 cents

Step-by-step explanation:

1.80 (price) divided by 12 (amount) = 0.15 cents per pencil

Based on the graph, which of the following represents a solution to the equation
(-2,-3)
(3,2)
(1,3)
(3,1)

Answers

We need a picture of the graph

Answer:

Add a picture of the graph please?

Step-by-step explanation:

4x+14=6x+8

Solve please

Answers

Answer:

x=3

Step-by-step explanation:

Answer: x= 4

Solution:
4 multiplied by 4 equals 16.
16+ 14 = 40

6 multiplied by 4 equals 32
32+8 = 40

4 equals to x.
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