Triangle R Q S is cut by line segment T V. Line segment T V goes from side Q R to side R S. The length of R V is x + 10, the length of V S is x, the length of R T is x + 4, and the length of T Q is x minus 3. Which value of x would make Line segment T V is parallel to Line segment Q S?
PLEASE HURRY

Answers

Answer 1

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

In order for TV to be parallel to QS, it must divide the sides of the triangle proportionally.

  RT/TQ = RV/VS

  (x+4)/(x-3) = (x+10)/(x)

  1 +7/(x-3) = 1 +10/x . . . . expand each fraction

  7/(x -3) = 10/x . . . . . . . . subtract 1

  7x = 10(x -3) . . . . . . . . . cross multiply

  30 = 3x . . . . . . . . . . . . add 30-7x, simplify

  10 = x . . . . . . . . . . . . . . divide by 3

The value of x that makes the segments parallel is 10.

_____

Alternate solution

You can cross multiply the first fraction we wrote to get ...

  x(x +4) = (x -3)(x +10)

  x^2 +4x = x^2 +7x -30 . . . eliminate parentheses

  30 = 3x . . . . . . subtract x^2+4x-30 from both sides

Answer 2

Answer: C. 10

Step-by-step explanation:

i got it right on the test


Related Questions

Determine the rate of change from the graph.

On a coordinate plane, a line with positive slope goes through points (0.5, 0) and (1, 4).

The rate of change shown in the graph is ...
PLZ HELP. NEED EXPLANATION PLZ!

Answers

Slope = (4-0)/(1-0.5) = 8
Rate of change = slope = 8

A. -4
B. -1
C. 8
D. 2
O E.O
F. 4

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Answer:

B.-1 la reponse eqt donc se résultat

Hi can someone help me out. This is due by the end of the day.​

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Answer:

The answer is circumference.....

Find the measure of x and y

( I will appreciate any help. Thank you)

Answers

Answer:

x = 34 degrees

y = 3 units

a.) Rewrite the equation 9x-3y-9=0 in slope-intercept form.
B) Give the slope and y- intercept.
C) Use the slope and y -intercept to the graph the linear function.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slopeb is the y-intercept

Part a)

Given the equation

[tex]9x-3y-9=0[/tex]

Writing the equation in the slope-intercept form of the line equation

[tex]9x-3y-9=0[/tex]

adding 3y to both sides

[tex]9x-3y-9+3y=0+3y[/tex]

[tex]9x-9 = 3y[/tex]

flip the equation

[tex]3y = 9x-9[/tex]

divide both sides by 3

[tex]y=3x-3[/tex]

Thus, the equation in the slope-intercept form is:

[tex]y=3x-3[/tex]

Part b)

As the equation in the slope-intercept form is

[tex]y=3x-3[/tex]

comparing with the slope-intercept form

The slope m = 3The y-intercept b = -3

Part c)

Given the equation

[tex]y=3x-3[/tex]

The graph is attached below.

From the given graph, is clear that:

at x = 0, the value of y = -3

Thus, the y-intercept of the equation is b = -3

Please check the attached graph.

As one object gets closer to another object the force of gravity will increase?

Answers

Answer:

no

Step-by-step explanation:

gravity is relevant to when something is being affected by the gravitational pull on earth, or any other planet. for example, i throw an apple into the air. and it comes back down, as newton said. what must come up, must come down. because of gravity, two objects being closer together does not affect the gravitational pull whatsoever. and the force of gravity doesn't change. as gravity just works on it's own, independent of the object, not dependent on the object. however certain objects will fall abit faster than others.

y is directly proportional to x.
(y = 44
when
x = 4.)

Find a mathematical model that represents the statement. (Determine the constant of proportionality.)

Answers

Answer:

11

Step-by-step explanation:

Trust me

Answer:

Step-by-step explanation:

directly proportional means it is in the form

y=kx, given y=44 and x=4

44=4k

k=11

If I have 8 cans of soup and I gave 1/2 to sue and 1/4 to mark how many do I have left

Answers

Answer: 2 cans of soup left.

Step-by-step explanation:

1/2 of 8 = 4.

1/4 of 8 = 2.

4 + 2 = 6, so you are giving 6 cans of soup away. 8 - 6 = 2. In conclusion, you have 2 cans of soup left.

can u pls help me with this question ​

Answers

Answer:

20/12 yaaaaaaaaaaaaaaa

Step-by-step explanation:

I knowwwwww

Subtract. −27−12−(−16) −55 −23 −1 I don't know.​

Answers

Answer:

-134

Step-by-step explanation:

What’s the answer please help if you see this thank you?

Answers

Answer:

60

Step-by-step explanation:

8x6=48

3x4=12

48+12=60

if 5(2x-1)=35, then x=​

Answers

Answer:

x=4

Step-by-step explanation:

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

5(2x - 1) = 35

Step 2: Solve for x

[Division Property of Equality] Divide 5 on both sides:                                 2x - 1 = 7[Addition Property of Equality] Add 1 on both sides:                                    2x = 8[Division Property of Equality] Divide 2 on both sides:                                 x = 4

Look at pic plz help

Answers

Answer:

Papa Ron's

Step-by-step explanation:

:)

Explain why the sum of -8 and 2 is negative, but the sum of 8 and -2 is positive.

Answers

Answer:

Adding a negitive number to a positive number is th esame as subtracting from that number.

If you have 2 and you add -8. You are really subtracting 8 from 2. 8 is bigger then 2 so your answer will be negitive. However for the second problom, 2 is less then 8 so the answer will be possitive.

Step-by-step explanation:

Why are inverse relationships between operations used to solve two step inequalities?

Answers

Answer:

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.

Reverse addition and subtraction (by subtracting and adding) outside parentheses. Reverse multiplication and division (by dividing and multiplying) outside parentheses. When multiplying or dividing by a negative number, flip the inequality sign. It does not matter if the number being divided is positive or negative

It's necessary to apply inverse operations on both sides of the equals signs so that you can solve for the variable and balance the equation.

Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. (Much like when you divide by a negative number, the sign of the inequality must flip! Here's why: When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!)

Answer:

Step-by-step explanation:

The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.

Christina has trays of cookies for students in her class. Each tray has 6 cookies.
Two of the cookies are Oreos. What fraction of the cookies in 4 trays are Oreos?


Please help me :(

Answers

Answer:

1/12

Step-by-step explanation:

4x6=24

2/24=1/12

A _____________ is a function that describes a change in the position, size, or shape of a figure.

Answers

Answer:

force

Step-by-step explanation:

Given functions f and g, Find f-g.
f(x)=6x-2, g(x)=9x-6

a)3x-4
b)-3x+4
c)-3x-8
d)15x-8

Answers

Answer:

b)-3x+4

Step-by-step explanation:

f(x)=6x-2, g(x)=9x-6

f - g means to subtract the two functions so:

f - g = (6x - 2) - (9x - 6)                

first, distribute the negative sign to (9x - 6)

f - g = 6x - 2 - 9x + 6

then, combine like terms:

f - g = -3x + 4


Solve y^3 =-28 where y is a real number.
Simplify your answer as much as possible.

Answers

Answer:

YOU GOT THIS!!

Answer:

y=[tex]\sqrt{28}[/tex] i

Step-by-step explanation:

If these two shapes are similar, what is the measure of the missing length c?


c=__kilometers

Answers

Answer:

3

Step-by-step explanation:

6 ÷ 2 = 3

1 × 3 = 3km

I hope this is actually right ^-^

Given the equation: x + 8 = 32

True or False:

The equation can be solved using subtraction.



Group of answer choices

True

False

Answers

Answer:

true by subtract ing 8 we solve it.

Answer:

True

Step-by-step explanation:

x + 8 = 32

x + 8 - 8 = 32 - 8

x = 24

I'm so confused what is the answer plz?​

Answers

Answer:

option b .

yes, by SAS.

.............

Yeabsira and Jose are helping their chemistry teacher set up materials for a class lab
activity. They have 56 grams of calcium carbonate and 150 mL of acetic acid total. Each
reaction requires 7 grams of calcium carbonate and 10 ml of acetic acid. How many full
reactions can they set up?

Answers

Answer:

2

Step-by-step explanation:

Plz help will give BRAINLIEST

Answers

The Songs: F. D. And C

A person just purchased the vending machine shown. Each compartment has the dimensions of 5 inches by 7 inches by 17 inches. What is the volume of the compartment?

Answers

Answer: 595

Step-by-step explanation:

Find the measure of x, then the measure of 6-22
8x + 34
R
S
degrees

Answers

Answer:

x = 12 ; m∠R = 130°

Step-by-step explanation:

(6x - 22)° + (8x + 34)° = 180°

6x - 22 + 8x + 34 = 180

14x + 12 = 180

14x = 168

x = 12

m∠R = (8x + 34)° = (96 + 34)° = 130°

m∠R = 130°

Given: E is the midpoint of DF.
Prove: DE = 23


Answers

Answer:

DE=23

Step-by-step explanation:

Since E is the midpoint of DF, we know that DE and EF are equal. Thus, we can set them equal to eachother and solve.

8x-1=6x+5

2x=6

x=3

After that, plug 3 back into DE.

6(3)+5= DE

18+5= DE

23=DE

If the line has an 84 degree slope angle, then the slope ratio is approximately.

Answers

Answer:

0.1051

Step-by-step explanation:

Rewrite the following polynomial in standard form

Answers

Answer:

[tex]-x^4-\frac{1}{10} x^2+1[/tex]

Factor to write an equivalent expression for -9x+15y

Answers

Answer:

Step-by-step explanation:

-9x +15y = 3(-3x +5y) = -3(3x - 5y)

The required equivalent expression for the given expression -9x + 15y is 3(-3x + 5y).

What is the Factorization?

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The given expression is given as follows:

-9x + 15y

It is required to find the factorization of the given expression.

As per the question, we have

-9x + 15y

To factor -9x + 15y, we can first factor out the greatest common factor (GCF) of -9 and 15, which is 3:

-9x + 15y = 3(-3x + 5y)

Therefore, the equivalent expression for -9x + 15y is 3(-3x + 5y).

Learn more about the Factorization here:

brainly.com/question/4184435

#SPJ3

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