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

7 divided by c expression

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Answer:

7/c

Step-by-step explanation:

7 divide by c is the same as 7/c

Match the function below with its corresponding graph or value

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Answer:

Step-by-step explanation:

 c   11). f(x) = - 5x ; f(4) = - 5(4) = - 20

 e   12). f(x) = - x - 3 ; f(8) = - 8 - 3 = - 11

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please help me with this it’s due soon

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Answer:

39.5 degrees

Step-by-step explanation:

180-101=79

79/2=39.5

39.5 degrees aaaaaaaa

5-10m
WHATS THIS ANSWER?.
.
.
..
.
.

Answers

Answer:

-5 is the answer

Step-by-step explanation:

(3,-7); m=4/3 write in standard form

Answers

Answer:

In standard form it will be 4x-3y=33

Step-by-step explanation:

distributive property is a property of equality
A) true
B) false

Answers

Answer:

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum.

4) On Monday Elaine ran 5 miles and 3 laps around a trail. On Tuesday she ran 6 miles and 2 laps around a trail. She ran the same distance both days. How many miles long is one lap around the trail?​

Answers

Answer:

c

Step-by-step explanation:

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Can someone please help me with this? It’s the last problem I need to turn in a test, I will mark brainliest :(

Answers

Answer:

33b - 8

Step-by-step explanation:

You solve for the perimeter like you would for any other shape by adding all the sides

The perimeter is side A + side B + side C.

so it's 9b+8 + 12b-8 + 12b-8

Add all the like terms

9b + 12 b + 12b = 33b

8 - 8 - 8= -8

= 33b -8

What is the value of the 11th term in the sequence -3, -6, -12, -24, ...?

A. -6,144
B. -118,098
C. -3,072
D. -354,294

Answers

Answer:

C

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 3 and r = 2 , thus

a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C

PLEASE HELP FAST
The midpoint of AB is M(-4, 0). If the coordinates of A are (-6, 6), what are the coordinates of B?

Answers

Answer:

The coordinates of B are: (a, b)=(-2, -6)

Step-by-step explanation:

Let (a, b) be the coordinates of the point 'B'.

As

The midpoint of AB is M(-4, 0)

The coordinates of A are (-6, 6)

The midpoint (x,y) of line joining points (x₁, x₂) and (y₁, y₂)

[tex]x=\frac{x_1+x_2}{2},\:y=\frac{y_1+y_2}{2}[/tex]

-4 = (-6+a)/2  and  0 = (6+b)/2

-8=-6+a          

-8+6=a                  

a=-2

0=(6+b)/2

0=6+b

b=-6

Therefore, the coordinates of B are: (a, b)=(-2, -6)

Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference. Which choice represents the sample space, S, for this event?

Answers

Answer:

S = {ABC, ABD, ACD, BCD}

Step-by-step explanation:

We are told that Ariana, Boris, Cecile, and Diego are students in the service club.

Let's denote their names with letters;

Ariana = A

Boris = B

Cecile = C

Diego = D

We are told that Three of the four students will be chosen to attend a conference. This means that the sample space will be a set showing combination of any 3 out of the 4 students.

Thus, sample space is;

S = {ABC, ABD, ACD, BCD}

Answer:

A

Step-by-step explanation:

i gotta another question!!
−6+x/8=1
Solving Two-Step
p.s the -6 + x is both on top of 8

Answers

Answer:

14

Step-by-step explanation:

-6+x=1

8

-6+x=1×8

x=8+6

x= 14 ans

Combine any like terms in the expression. If there are no like terms, rewrite the expression.
5t+t–3t

Answers

The answer is of that is 3t

Infer Jamal is in a car going north. He looks out his window and thinks that the northbound traffic is moving very slowly. Ellen is in a car going
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Answers

Answer:

relax jamal dont pull up the 9

Step-by-step explanation:

Write in point-slope form an equation for the line through
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form

Answers

Answer:

y=-2x+1

Step-by-step explanation:

y-y=m(x-x1)

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

y+3=-2x+4

-3 -3

y=-2x+1

Write the equation of the line through the given points (3, 5) and (-3,-3) in the three different forms.

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Slope-Intercept Form
Standard Form

Answers

Answer:

y-5=1/3(x-3)

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Step-by-step explanation:

What is the value of the expression below?
8 *divide* 2 + 6x5

Answers

Answer:

34

Step-by-step explanation:

8/2 = 4

6 times 5 = 30

30 + 4 = 34

Write an equation that could be used to fine the number of comic books, x Jacob needs to sell in order to earn $200.

Answers

Answer:

100+x=200

Step-by-step explanation:

What’s the answer for 65°
15x + 10

Answers

Answer:

7

Step-by-step explanation:

65° + 15x + 10 = 180° (co-interior angles are equal)

15x + 75° = 180°

15x = 180° - 75°

15x = 105°

x = 105/15

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Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis. Use exact numbers. y-(-1)=y−(−1)=y, minus, left parenthesis, minus, 1, right parenthesis, equals

Answers

Answer:

y+1 = 3/4(x-1)

Step-by-step explanation:

Given the coordinates of a line, (1, -1) and (5, 2), we are to find the equation of the line in point-slope form.

The point slope form of the equation is generally expressed as;

y -y0 = m(x-x0)

m is the slope

(x0, y0) is the point

Get the slope first;

m = y2-y1/x2-x1

m = 2-(-1)/5-1

m = 3/4

Substitute any of the point sat=y (1, -1) and m = 3/4 into the point slope form of the equation

y - (-1) = 3/4 (x-1)

y+1 = 3/4(x-1)

Hence the required equation is y+1 = 3/4(x-1)

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Answers

Answer:

9.28

Step-by-step explanation:

In the equation y = 2π^x, 2 is the ______ and π is the ______.

Answers

Answer:

pi(π) is the constant and x is the variable since pi is a numerical value and x can change according to the equation given.

Step-by-step explanation:

find the missing angle

Answers

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For which values of A, B, and C will AX +BY=C be a vertical line through the point (8,6)
A. A=1, B=0, C=6
B. A=1, B=0, C=8
C. A=0, B=1, C=6
D. A=0, B=1, C=8

Answers

Answer:

B. A = 1, B = 0, C = 8

Step-by-step explanation:

The equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (8, 6) with x- coordinate 8, thus

x = 8 is the equation of the vertical line

In comparison to

Ax + By = C, then

A = 1, B = 0, C = 8, that is

x + 0 = 8

x = 8 being the required equation


What is the c.o.p. that describes the relationship between h and t.

Answers

B is the answer to that question !!!

ms kim borrowed 1350 to buy to used a automobile if she repays 75 a month how many months will it take ro pay back the loan

Answers

Answer:

18 months

Step-by-step explanation:

since 1350/75 is 18

What is the value of x?
Triangle B C D. Angle B is 91 degrees, angle C is 33 degrees, and angle D is x degrees.
56°
66°
124°
236°

Answers

Answer:

56°

Step-by-step explanation:

The interior angles of a triangle add up to 180.

You would first set up the following problem:

91 + 33 + x = 180

You would now subtract 91 from both sides.

33 + x = 89

You would now subtract 33 from both sides.

x = 56

The value of x is 56 degrees.

Angle of triangle D is 56 degrees.

What is a triangle?

"A triangle is a simple closed curved made of three segments. A triangle has three sides and three angles, and all three sides and angles are called six elements of the triangle."

We have

Angle sum property of a triangle = [tex]180^{0}[/tex]

<B + <C + <D =  [tex]180^{0}[/tex]

⇒ [tex]91^{0}+33^{0} +x^{0}=180^{0}[/tex]

⇒ [tex]x^{0}=180^{0}-91^{0}-33^{0}[/tex]

⇒ [tex]x^{0}=56^{0}[/tex]

The value of x is 56 degrees.

Hence, angle of triangle D is 56 degrees.

Learn more about triangle here

https://brainly.com/question/8492819

#SPJ2

Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)

Answers

Answer:

[tex]d=9.2[/tex]

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, -5)

Point (-2, 1)

Step 2: Find distance d

Substitute:                    [tex]d = \sqrt{(-2-5)^2+(1-(-5))^2}[/tex]Simplify:                        [tex]d = \sqrt{(-2-5)^2+(1+5)^2}[/tex]Subtract/Add:               [tex]d = \sqrt{(-7)^2+(6)^2}[/tex]Evaluate:                      [tex]d = \sqrt{49+36}[/tex]Add:                              [tex]d = \sqrt{85}[/tex]Evaluate:                      [tex]d=9.21954[/tex]

help pleaseeeeeeeee​

Answers

Answer:

its a little blury but i got -3,-9

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