X, Y, and Z are collinear and Y is between X and Z. If XY = 3x – 1, YZ = 5, and XZ = 5x – 8,

what is the value of x?

a. 6
b. 4
c. 10
d. 8

Answers

Answer 1

Answer:

6

Step-by-step explanation:

XY = 3x – 1, YZ = 5, and XZ = 5x – 8,

We know that XY + YZ = XZ, so

3x - 1 + 5 = 5x - 8

3x + 4 = 5x - 8

3x + 12 = 5x

12 = 2x

6 = x

Answer 2

The value of x from the given line segment XZ is 6. Therefore, the correct answer is option A.

Given that, X, Y, and Z are collinear and Y is between X and Z.

Collinear points are those that are on the same straight line or in the same plane. In Euclidean geometry, two or more points on a line that are close to or far from each other are said to be collinear.

So, here [tex]XZ=XY+YZ[/tex]

[tex]5x-8=3x-1+5[/tex]

[tex]5x-8=3x+4[/tex]

[tex]5x-3x=4+8[/tex]

[tex]2x=12[/tex]

[tex]x=6[/tex]

Therefore, the correct answer is option A.

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Related Questions

Write the phrase "Five subtracted from three times any number" as an algebraic expression

Answers

Answer: 3x-5

Step-by-step explanation:

Five subtracted from three times any number can be represented as 3x-5.

Solve the literal equation for the variable t:

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Answer:

t=y÷x+3

Step-by-step explanation:

you have to isolate t

(I may have put the equation in the wrong order but I'm like 70% sure i got it)

What are the advantages of using a table to find equivalent ratios?

What are the advantages of using a graph to find equivalent ratios?

Explain why you prefer a table or a graph to compare equivalent ratios.

Answers

The advantage of using a table to determine the equivalent ratio is that, it easier to determine the unknown ratio.

The advantage of using a graph to determine the equivalent ratio is that, it helps to determine the exact value of the unknown ratio.

The use of table to find equivalent ratio makes it easier to determine the unknown ratio. The unknown ratio can easily be determined using interpolation method, this method gives the approximate value of the unknown ratio.

The use of graph to find equivalent ratio helps to determine the exact value of the unknown ratio. This method gives the exact value of the unknown ratio.

The use of table is better because it minimizes error from tracing the values from the graph.

Learn more about equivalent ratio here: https://brainly.com/question/13513438

What are the slopes to
3x+6=30
&
4y+2x+9​

Answers

The first one is undefined and the second one is 1/2

please help quick

Which equation has only two solutions: x=3
and x=−3
?

A
x2=6

B
x3=27

C
x2=9

D
x3=9

Answers

Answer:

x^2 = 9

Step-by-step explanation:

Both 3 and -3 are 9 when squared.


Kaya rented a limousine for prom. There was a one-time charge of $100 plus an hourly rate of the total
cost for the night was $347.50. How many hours did Kaya rent the limo for?

Answers

Answer:

3 hours

Step-by-step explanation:

it is $100 for 1 hour right. Ok so forget about the hourly rates. Then you are left with $300. $300 total÷100 per hour = 3 hours.

Answer:

The total is 3 hours

      Hope this help! good luck :)

Solve.

−1.3=x−(−13.2)

What is the solution to the equation?

Enter your answer in the box.

x =

Answers

x= -14.5

Step-by-step explanation:

-1.3=x-(-13.2)

the two - signs cross eachother out, making it a +.

making the equation -1.3=x-(-13.2) turn into -1.3=x+13.2.

so you should automatically know your x is going to have to be negative.

What I did:

13.2+1.3=14.5,

but since the 1.3 was actually negative, (-1.3) the 14.5 will turn negative, making it -14.5

Determine whether the ratios form a proportion.
16/9, 28/15

Answers

Answer:

No

Step-by-step explanation:

One way of doing this problem is to reduce the given fractions as much as possible.  Unfortunately, neither ratio reduces.  So the fraction 16/9 is NOT equal to the fraction 28/15 and our conclusion must therefore be "the rations do not form a proportion."

Answer:

hope it helps 12 : 9 = 28 : 15

is FALSE

Can someone answer this​

Answers

Answer:

-2/3 is the correct answer

Step-by-step explanation:

hope this helps

Answer:

Number 2 is the answer.

Step-by-step explanation:

Rise/run

and the line is going down.

What is the expression after applying the distributive property? −12(−2+(−3))

Answers

Answer:

60

Step-by-step explanation:

-5.-12=60

Hey there!

-12(-2 + (-3))

= -12(-2 - 3)

DISTRIBUTE -12 within THE PARENTHESES

= -12(-2) - 12(-3)

= 24 + 36

= 60

Therefore, your answer is: 60

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Allison has 10 coins in dimes and nickels in her purse. The value of the coins is $0.70. Which pair of equations can be used to find the number of dimes, d, and nickels, n, Allison has in her purse?

Answers

Answer:

A lot

Step-by-step explanation:

Does this girl not have a credit card

The pair of equations is d + n = 10 and d + 5 n = 7 that can be used to find the number of dimes and nickels.

What is an equation ?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

Number of dimes = d

And number of nickels = n.

Total number of coins = 10.

Also, the value of coins = $0.70.

According to given conditions,

Since, Total number of coins is 10,

The equation can be written as,

d + n = 10

Total value of coins are = 0.70

0.1d + 0.05n = 0.70

1/10 d / 5n / 100 = 0.70

10 d + 50 n = 70

d + 5 n = 7

The required pair of equations are  d + n = 10 and d + 5 n = 7.

To know more about Equation on:

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Find ℎ(x) = f(x) − g(x)

Answers

I need to know what f(x) and g(x) is first

Answer:

h(x) = 7x - 3

Step-by-step explanation:

f(x) = 4x − 1 and g(x) = −3x + 2

h(x) = f(x) - g(x)

h(x) = 4x - 1 - (-3x + 2)

h(x) = 4x - 1 + 3x - 2

h(x) = 7x - 3

what is the answer???

Answers

Answer:

[tex] \frac{65}{97} [/tex]

Cosine ∅ = adjacent ÷ hypotenuse

Rounded to the nearest hundredth the answer is 0.670.

We know

[tex]\boxed{\sf cos\Theta=\dfrac{Base}{Hypotenuse}}[/tex]

Now

[tex]\\ \sf\longmapsto cosU=\dfrac{SU}{TU}[/tex]

[tex]\\ \sf\longmapsto cos U=\dfrac{65}{97}[/tex]

[tex]\\ \sf\longmapsto cosU=0.67[/tex]

Drag the tiles to the correct boxes to complete the pairs.
Match the examples of the impact of the innovation of technology to their relevant sectors.
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Step-by-step explanation:

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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heres my fake account and name

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It might be -10:9 or 9: -10 Hope this helps :)

Which inequality represents this statement?

A number is at least 12.


n>12

n≤12

n≥12

n<12

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

Answer:          n≥12

hope this helps

"√2n-5 = 10."

Please Show Step By Step

Answers

Answer is 15√2/2. I think.

A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is

Answers

The answer is : w=1.1×10^7mm

Answer:

11

Step-by-step explanation:

The formula for area is l * w = a (length * width = area)

4 is our length, and 44 is the area, so the equation turns to this:

4 * x = 44

To solve for x, just divide 44 by 4.

44 / 4 = 11.

Now we enter that into our equation so it looks like this:

4 mm * 11 mm = 44 mm^2.

Hope this helped :)

Mae buys 7 boxes of drinks. The cost of each box of drinks is £7 and each box holds 12 cans.She sells 3/4 of the total number of cans for 70p each and the remaining cans for 40p each. WORK OUT THE TOTAL OF PROFIT HE MAKES

Answers

Answer:

  £3.50

Step-by-step explanation:

The total number of cans Mae bought was ...

  (12 cans/box)×(7 boxes) = 84 cans

The revenue from sales is ...

  (3/4)(84)(70p) +(1/4)(84)(40p) = 84(3/4×70p +1/4×40p) = 84(52.5p +10p)

  = £52.50

The cost of the drinks was ...

  (£7/box)×(7 boxes) = £49.00

Mae's profit is the difference between her sales revenue and her cost:

  profit = revenue - cost

  profit = £52.50 -49.00 = £3.50

Is the function f(x) = 5 - 3x even, odd, or neither? no links plz​

Answers

Answer:The function is odd

Step-by-step explanation:

Answer:

x= 2 so it is even.

Step-by-step explanation:

- 8i - 7i

A. - 15i
B. 15i
C.-15 l^ 2
D. 15i ^ 2

Answers

A. - 15i is your answer

these two lol, i dont really understand them :D

Answers

me too!!!!!!!!!!!!!!!!!

There are 4 Year 11 pupils in a football club, out of a total of 29 pupils.

Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate.

Answers

Answer:

14%

Step-by-step explanation:

So if we have 4 Year 11 pupils out of a total of 29 pupils at a football club, the fraction for that would be 4/29, if we convert 4/29 into a decimal number we get 0.13793103448, so we round this number up to the nearest 1 decimal place, and that would be 0.14 which equals 14%. Hope this helps.

4. Kayla graphed a scatter plot of the number of hours she drove her car
(x) and the distance traveled (y). She drew the trend line and calculated its
equation to be y = 50x + 2. What is the predicted distance Kayla would
drive if she drove for 3.5 hours?

Answers

X= 50 +2 so when 3.5 hours it will reach the following dimness

There are three times as many girls as boys in the school choir. If there are 24 girls how many singers are in the chior altogether

Answers

Answer: 8

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

nugget

What is the answer to 3(y - 1 + 2y)

Answers

Answer:

Collect like terms.

3((y+2y)-1)

3((y+2y)−1)

2 Simplify (y+2y)-1(y+2y)−1 to 3y-13y−1.

3(3y-1)

3(3y−1)

Can someone help me out with this?

Answers

Answer:

-7.5x -12.5, x < -17.5x +2.5, x ≥ -1

Step-by-step explanation:

The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:

  |x| = -x . . . for x < 0

  |x| = x . . . for x ≥ 0

for (x+1) < 0

  y = -7.5(x +1) -5 = -7.5x -12.5

for (x+1) ≥ 0

  y = 7.5(x +1) -5 = 7.5x +2.5

This means we can write the piecewise function as ...

  [tex]y=\begin{cases}-7.5x-12.5,&\text{if }x<-1\\7.5x+2.5,&\text{if }x\ge-1\end{cases}[/tex]

Question 4 of 10
Which statement about setting is true as it relates to a story?
A. Setting helps to define a story's point of view.
B. Setting is another word for characterization.
Ο Ο Ο
C. Setting affects character behavior, which drives the plot.
D. Setting comes into play at the end of a story.
SUBMIT

Answers

Answer:

First of all not a math question but wtv

the answer is C since where the story takes place affects what the characters do

Hope This Helps!!!

B setting is another word for characterization
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