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.

To learn more about an collinear points visit;

https://brainly.com/question/5191807.

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Related Questions

The round off value of 38.23 to the nearest whole number is?

Answers

Answer:

38

Step-by-step explanation:

38.23 is closest to 28, because neither the .2 or .03 is high enough to round the last whole number up

Answer:

Rounding 38.23 to the nearest whole number would be 38

Step-by-step explanation:

Rounding 38.23 to the nearest whole number would be 38 because the extra 0.23 is less than 0.50

If it was 0.50, the answer would go up to 39.

maths question algebra

Answers

Answer:

x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]

Step-by-step explanation:

5x² - 3y = 4y + 8 ( add 3y to both sides )

5x² = 7y + 8 ( divide both sides by 5 )

x² = [tex]\frac{7y+8}{5}[/tex] ( take square root of both sides )

x = ± [tex]\sqrt{\frac{7y+8}{5} }[/tex]

geometry - please help

solve for x & y

Answers

Hope it helps.

Don't forget to click the Brainliest button if you like my answer and if you have any query, feel free to ask in the comment section.

on a winter monday in nepal, the temperature was -8F. by 1 pm, it was 27F. how many degrees did the temperature change?

Answers

Answer:

35 degrees.

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

27 - 35 = -8

PLEASE HELP whoever answers all of them and first i’m giving brainliest.

Answers

Answer:

1. To solve a one-variable equation, it may be necessary to first multiply by using the Distributive Property

2. The next step is to combine like terms as needed.

3. Then solve for the variable by applying inverse operations.

4. If solving lead to a true equation, then the equation has infinitely many solutions.

5. if solving leads to an untrue equation, then the equation has no solution.

PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL

A 14 cm cube is built from small cubes, each 2 cm on an edge. Compare the edge lengths of the two cubes.
9:1
7:1
8:1
10:1

Answers

Answer:

7:1

Step-by-step explanation:

a triangle with side 9,10and 11 has the same perimeter as a square with sides of length

Answers

Answer:

7.5.

Step-by-step explanation:

A square has 4 equal sides so:

4x =  9  + 10 + 11    where x is the length of one side of the square.

4x = 30

x = 7.5.

Solve for x.
1/3 x+4=-2/3 x+12

Answers

Answer:

x = 8

Step-by-step explanation:

1. Group all x terms on the left side of the equation

1/3· x+4=-2/3·x+12

Add  2/3x to both sides:

1/3x+4+2/3·x=-2/3x+12+2/3·x

Group like terms:

1/3·x+2/3·x+4=-2/3·x+12+2/3·x

Combine the fractions:

1+2/3·x+4=-2/3·x+12+2/3·x

Combine the numerators:

3/3·x+4=-2/3·x+12+2/3·x

Find the greatest common factor of the numerator and denominator:

1·3/1·3·x+4=-2/3·x+12+2/3·x

Factor out and cancel the greatest common factor:

1x+4=-2/3·x+12+2/3·x

Simplify the left side:

x+4=-2/3·x+12+2/3·x

Group like terms:

x+4=-2/3·x+2/3·x+12

Combine the fractions:

x+4=-2+2/3·x+12

Combine the numerators:

x+4=0/3·x+12

Reduce the zero numerator:

x+4=0x+12

Simplify the arithmetic:

x+4=12

2. Group all constants on the right side of the equation

Subtract 4 from both sides:

x+4-4=12-4

Simplify the arithmetic:

x=12-4

Simplify the arithmetic:

x=8

Answer:

x=8

Step-by-step explanation:

1/3x +4= -2/3 +12

Subtract 4 from both sides: 1/3x + 4-4 = -2/3x + 12 -4

Simplify: 1/3x = 2/3x + 8

Add 2/3x to both sides: 1/3x + 2/3x = -2/3x + 8 + 2/3x

Simplify: x=8

Which statement is not used to prove that triangle ABC is similar to triangle ADC?

Answers

Answer:

what are the statements we pick from?

Step-by-step explanation:

most likely look out for angles and lengths that go against the established ratio

How do I solve this?

Answers

Answer:  A:  3x^2y^(3/2)

Step-by-step explanation:

This can be written as

(81*x^8*y^6)^(1/4)

Then multiply each exponent by (1/4):

81^(1/4)*x^(8(1/4))y^6(1/4))

81^(1/4) = 3

x^(8(1/4)) = x^2

y^6(1/4)) = y^(3/2)

The result:  3x^2y^(3/2)

BRANLIEST FOR CORRECT ANSWER



Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠S =

∠ TXY
∠ XTY
∠ XYT



Complete the pairs of corresponding parts if △RST ≅ △TXY.
∠STR =

∠ XYT
∠ TXY
∠ XTY



Complete the pairs of corresponding parts if △RST ≅ △TXY.
RS =

TX
XY
TY




Complete the pairs of corresponding parts if △RST ≅ △TXY.
ST =

TY
XY
TX





Complete the pairs of corresponding parts if △RST ≅ △TXY.
RT =

TX
XY
TY





Complete the pairs of corresponding parts if △ABD ≅ △EFC.
∠A =

∠ FCE
∠ FEC
∠ EFC





Why is ▲MAE ≅ ▲TON?

HL
HA
LL




All of the following are ways to prove triangles congruent except

SAS
SSA
ASA
SSS

Answers

Answer:

Step-by-step explanation:

△ RST ≅ △ TXY

We are given ΔRST and ΔTXY are congruent to each other.

If two triangles are congruent to each other then their corresponding parts are equal.

Please see the attachment of two triangles.

∠R is corresponding to ∠T

∵  ∠R=∠T By CPCT

∠XYT is corresponding to ∠STR

∵  ∠XYT=∠STR By CPCT

∠XTY is corresponding to ∠SRT.

∵  ∠XTY=∠SRT By CPCT

∠TXY is corresponding to ∠RST

∵  ∠TXY=∠RST By CPCT

CPCT: Congruent part of congruence triangle.

Solve the following equations. 2x - 7 = 11
help me please it's urgent​

Answers

Answer:

X=9

Step-by-step explanation:

2x-7=11

Add 7 each side

2x - 7 +7 =11 + 7

2x=18

Divide by 2 each side

2x/2=18/2

x=9

Answer:

x = 9

Step-by-step explanation:

2x - 7 = 11

Add 7 to both sides: 2x = 18

Divide by 2: x = 9


What does R represent?
A. a line segment
B. a point
C. a line
D. a rat

Answers

Answer:

B

Step-by-step explanation:

will mark brainliest

Answers

Answer:

K (-1,-1)

Step-by-step explanation:

Brittany is a scientist.She is recording the number of cells in a dish.After each hour,the cell divides into four cells.The sequence shown represents the growth of the cells. 1,4,16,64,256,. . . Which explicit formula represents this situation

Answers

Answer:

4^n-1

Step-by-step explanation:

So given sequence is a geometric sequence where terms increase or decrease by a constant common ratio(r)

Formula to find terms in Geometric sequence is " ar^n-1 where a is first term , r is common ratio and n is number of items

In this case , first term (a) is 1 , common ratio(r) is succeeding term/preceding term = 4/1 = 4 and number of items be (n).

Applying "ar^n-1 " we get,

1*4^n-1 which is , 4^n-1

Thats the formula which represents the situation....

How would four billion, nineteen million, three hundred thirty-seven thousand, two be written in standard form?

Answers

4,019,337,002 is the answer

can someone explain to me what this means

Answers

Answer:

2*2*2*3*5

Step-by-step explanation:

It is saying that 120 is the same as 24*5, and that 24* 5 is the same as 5 *2*12, which is that same as 5*2*3*4, which is then the same as 5*2*3*2*2.

Answer:

2 x 2 x 2 x 3 x 5

Step-by-step explanation:

d) | Is side-side-angle a congruence rule? Is angle-side-side
a congruence rule? Explain.

Answers

Answer:

Look at step-by-step explanation

Step-by-step explanation:

Side-side-angle is not a congruence rule because a side cannot be in between an angle and a side. Angle-side-side is the same thing, a side cannot be in between an angle and a side.

What is the equation of the line with a y-intercept of -10 and a slope of 7?

Answers

Answer:

do it got a picture

Step-by-step explanation:

answer: y=7x-10

y=mx+b
y=slope(x)+y-intercept

i need help no links​

Answers

1
hope it help you and good luck

Find the equation of the line with slope of 2 passing through (3,1)

please

Answers

Something is wrong with the Amazon

can someone please help with math?!

Answers

Slope: 3/5
The formula for slope is rise over run
In this case the rise would be Positive three because the points went from -2 to positive one. And the run would be 5 because it goes from -1 to 4
Hope this helps!!
Please tell me if I have made a mistake, I enjoy learning from them:)

HELP PLEASE
Use the value of the discriminant to determine the number and type of roots for the equation,
X^2 = 4x - 4
A. 2 real, irrational roots
B. 1 real, rational root
C. 2 complex roots
D. 2 real, rational roots

Answers

We are given –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² = 4x -4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x² -4x +4 = 0[/tex]

Where, a = 1 ; b = -4 ; c = 4

Let's find it's discriminant.

We know

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf Discriminant = b² - 4ac}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = (-4)² - 4 \times 1 \times 4[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf Discriminant = 16-16[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf Discriminant =0 }[/tex]

If Δ (Discriminant) >0here are two separate real roots.If Δ (Discriminant) =0, there are two identical real roots.If Δ (Discriminant) <0, there are no real roots, but there are two complex roots.

As we got

Δ Discriminant is 0 that means , there are two identical real roots. Henceforth, Option (D) 2 real, rational roots – is correct.

Find the area of the figure.

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

At first Divide the figure into two rectangles, I and Il

Area of figure l is ~

[tex] \sf24 \times (40 - 30)[/tex]

[tex] \sf24 \times 10[/tex]

[tex] \sf240 \: \: ft {}^{2} [/tex]

Area of figure ll is ~

[tex] \sf 18 \times 30[/tex]

[tex] \sf540 \: ft{}^{2} [/tex]

Area of whole figure = Area ( l + ll )

that is equal to ~

[tex] \sf240 + 540[/tex]

[tex] \sf780 \: \: ft{}^{2} [/tex]

What is the degree measure of the angle formed by the hands of a clock at 7:30 PM?

Answers

The angel formed is 45 degrees

What time is three to one in the morning

Answers

wdym like 2 or 12:58

Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th grade Geometry).

Answers

I’m still looking but it may take me awhile I’m not the greatest at this but this is what I have:
A=50
B=50
C=58
M=130

The oblique prism below has an isosceles right triangle base.

An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2).

What expression represents the volume of the prism, in cubic units?

One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2

Answers

The volume of the prism, in cubic units is 1/2x³ + x²

The volume of the oblique prism is given as:

V = Base area * Height

Given the following

Height = x + 2Base area = area of the triangle

Base area = 1/2 (x*x)

Base area = 1/2 x²

Get the volume of the prism;

Volume of the prism = 1/2(x²)(x+2)

Volume of the prism = 1/2(x³+2x²)

Volume of the prism = 1/2x³ + 1/2(2x²)

Volume of the prism = 1/2x³ + x²

Hence the volume of the prism, in cubic units is 1/2x³ + x²

Learn more on the volume of prism here: https://brainly.com/question/23963432

Answer:

1/2x³ + x²

Step-by-step explanation:

edg

Please answer this question with step by step method.

Answers

Answer:

x = 3/2 or 1.5

Step-by-step explanation:

(9(4x-1))/2x = 15

simplify the 9(4x-1) = 36x-9

(36x-9)/2x = 15

multiply both sides by 2x to take out the fraction

36x-9 = 15(2x)

36x-9 = 30x

subtract by 30x on both sides, and add 9 on both sides

36x-9-30x = 0

36x-30x = 9

6x = 9

x = 9/6 = 3/2 or 1.5

Angle C is 60 degrees and angle CAB is 78 we need to find angle DAB

Answers

Answer:

∠ DAB = 48°

Step-by-step explanation:

The sum of the 3 angles in Δ ACD = 180° , then

∠ CAD + 60° + 90° = 180° , that is

∠ CAD + 150° = 180° ( subtract 150° from both sides )

∠ CAD = 30°

Then

∠ DAB + ∠ CAD = ∠ CAB

∠ DAB + 30° = 78° ( subtract 30° from both sides )

∠ DAB = 48°