If line q bisects EG at point T, and if ET= 1/3 x and TG= x-2, then find EG

please help I have no idea how to do this its geometry problem for my math hw even my parents and siblings who are older than me don't know how to do this

Answers

Answer 1

Answer:

EG = 2 units

Step-by-step explanation:

Given that line q bisects EG at T , then

ET = TG  ( substitute values )

[tex]\frac{1}{3}[/tex] x = x - 2 ( multiply through by 3 to clear the fraction )

x = 3x - 6 ( subtract x from both sides )

0 = 2x - 6 ( add 6 to both sides )

6 = 2x ( divide both sides by 2 )

3 = x

Then

ET = [tex]\frac{1}{3}[/tex] x = [tex]\frac{1}{3}[/tex] × 3 = 1

TG = x - 2 = 3 - 2 = 1

Thus

EG = ET + TG = 1 + 1 = 2 units

Answer 2

EG = [tex] \frac{4x}{3} - 2[/tex]

Step-by-step explanation:

( First check the attached image for diagram )

[tex]EG=ET+TG[/tex]

Substituting the given values,

[tex]EG = \frac{1}{3}x + (x - 2)[/tex]

Opening the brackets and multiplying,

[tex]EG = \frac{1 \times x}{3} + x - 2 [/tex]

[tex] = > EG = \frac{x}{3} + x - 2[/tex]

Finding LCM,

[tex] = > EG = ( \frac{x}{3} + \frac{x \times 3}{1 \times 3} ) - 2[/tex]

[tex] = > EG = ( \frac{x}{3} + \frac{3x}{3}) - 2[/tex]

Combining them,

[tex]EG =( \frac{x + 3x}{3}) - 2[/tex]

[tex]EG = \frac{4x}{3} - 2[/tex]

Note:- T is midpoint of EG

because ET = TG

If Line Q Bisects EG At Point T, And If ET= 1/3 X And TG= X-2, Then Find EGplease Help I Have No Idea

Related Questions

greatest comman factor of 35 + 50

Answers

Answer:

The GCF of 35 and 50 is 5

( algebra ) Can you show me how to solve this question?

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Answer:

[tex]term \: n = 3n + 2 \\ {1}^{st \: } term= \: \: (3 \times 1) + 2 \: just \: apply \: the \: term \: number \: to \: n \\ = 3 + 2 \: \\ \: = 5 \: [/tex]

What is the product of the complex numbers (-3i+4) and (3i+4)?

Answers

Answer: 25

Step-by-step explanation:

Finding the product of complex numbers is not different to finding the product of real numbers

(-3i+4) * (3i+4) = -9i^2 + 12i - 12i + 16 = 25

Answer:

25

Step-by-step explanation:

An easy way to multiply binomials is the FOIL(first, outer, inner, last) method. Multiply the first terms of each binomial, -3i×3i=-9i^2. Then do the outer terms, -3i×4=-12i. Then do the inner terms 4×3i=12i. Then do the last terms, 4×4=16. Lastly combine like terms, the -12i and 12 cancel out, and you're left with -9i^2+16. i^2=1, so then you get -9(-1)+16. -9×-1=9. 9+16=25

Help me please please please please please please

Answers

I think 100 grams per box

Evaluate. Write your answer in simplified, rationalized form. Do not round.

cos

45°

=

Answers

Answer:

  cos(45°) = (√2)/2

Step-by-step explanation:

The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...

  x^2 +x^2 = 1

  x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator

  x = √(2/4) . . . . . . take the square root

  x = (√2)/2 . . . . . simplify

The cosine of 45° is (√2)/2.

Please help! What’s the answer for this?

Answers

Answer:

the answer for 1 1/3 is O 4/3

5 2/5 is T  28/5

2 4/5 is D  14/5

Step-by-step explanation:

All you have to do is multiply the whole number by the denominator and then add the numerator and the denominator stays the same.

Like on the second one you would multiply the 5 by the denominator which is also five then add the numerator,1, and that gives you the top number and the bottom one stays the same.

Sorry if I confused you but hope this helps!

You got this

In a triangle ABC, a =3, b=4 , c =5 cm. Find the area of the triangle.

Answers

Answer:

6 cm²

Step-by-step explanation:

The shorter sides are base and height.

3 x 4 / 2

= 6

We have: a² + b² = 3² + 4² = 9 + 16 = 25 = 5² = c²

=> triangle ABC is a square triangle

=> the area of the triangle ABC is: a × b ÷ 2 = 3 × 4 ÷ 2 = 6 (cm²)

Answer: 6 cm²

Ok done. Thank to me :>

Shawn ordered a set of beads he received 20 beads and 5% of them were yellow how many yellow beads did Shawn receive

Answers

Answer:

5% of 20 is 1

Find the slope of the graph

Answers

Answer:

Step-by-step explanation:

m=26 when u as u go as down as {{6-2} -13

Answer:

2

Step-by-step explanation:

By definition, the slope or gradient of a line describes its steepness, incline, or grade.

m = y2 - y1 / x2 - x1

Where

m — slope

If the 2 Points are Known:

Slope (m) = ΔY/ΔX

= 7-(-1) / 3-(-1)

= 8/4

= 2/1

= 2

θ = arctan (ΔY/ΔX)

= tan¯¹(8/4)

= 63.434948822922°

ΔX = 3 – (-1) = 4

ΔY = 7 – (-1) = 8

Distance (d) = √ΔX2 + ΔY2 = √80

= 8.9442719099992

Equation of the line:

y = 2x + 1

When x=0, y = 1

When y=0, x = -0.5

The admission fee at a water park is $9 for children and $15 for adults. On a certain day, 220
people entered the park, and the admission fees collected totaled $2640. How many children and
how many adults were admitted? Let x represent the number of children and y represent the
number of adults.
Total Equation:
Cost Equation:
The number of children admitted was
The number of adults admitted was

Answers

Number on children 110
Number of adults 110

The standard form of the number represented by the Roman numeral MXCIV is

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Answer:

1094

Step-by-step explanation:

x ^ 4 + 5x - 3 even or odd

Answers

Answer:

See below.

Step-by-step explanation:

x^4+5x-3

The expression is odd. x^4 is also equal to 1x^4. 5 is odd, and 3 is odd.

-hope it helps

Answer:

The following function is f(x) = -9x 4 + 5x+3 is neither even nor odd.

Step-by-step explanation:

Because a function is said to be even if f (-x) = f (x). Then a function is said to be odd if f (-x) = -f (x). And there is your answer to those who need help with their math.

I need help badly. Please answer fast.

Answers

Answer: I think that the answer is A.

Step-by-step explanation:

I think it’s C?!!!! i thhink

A balloon containing 0. 500 mol Ar at 0. 00°C and 65. 0 kPa pressure is expanded by adding more argon. Formula: PV = nRT (R = 8. 317 L•kPa/mol•K) What is the original volume of the gas? L.

Answers

Using an ideal gas equation to solve the problem. Then the original volume is 17.67 liters.

What is an ideal gas equation?

An ideal gas is a theoretical composed of a set of randomly moving gas particles that interact only through elastic collision.

Given

A balloon containing 0.500 mol at 0. 00°C and 65.0 kPa pressure are expanded by adding more argon.

Pressure (P) = 65 kPa

Mole (n) = 0.5 mol

Temperature (T) = 0 °C = 273.15 K

Universal gas constant (R) = 8.317 L.kPa/mol.K

We know the ideal gas equation

[tex]\rm PV =nRT\\\\V \ \ = \dfrac{nRT}{P}[/tex]

Put the values, we have

[tex]\rm V = \dfrac{0.5*8.317*273.15}{65}\\\\V = 17.67[/tex]

Thus, the original volume is 17.67 liters.

More about the ideal gas equation link is given below.

https://brainly.com/question/4147359

Answer:

answer in picture

Step-by-step explanation:

Please helppppp pls it's in the screenshot

Answers

Answer:

  4. 11/6, 121/36

  5. 5/8, 25/64

  6. 4/7, 16/49

  7. 14/9, 196/81

Step-by-step explanation:

The ratio of perimeters is the same as the ratio of corresponding legs:

  perimeter ratio = red leg/blue leg

The area ratio is the square of that:

  area ratio = (perimeter ratio)²

__

4.

perimeter ratio = 11/6

area ratio = (11/6)² = 121/36

__

5.

perimeter ratio = 5/8

area ratio = (5/8)² = 25/64

__

6.

perimeter ratio = 4/7

area ratio = (4/7)² = 16/49

__

7.

perimeter ratio = 14/9

area ratio = (14/9)² = 196/81

x - 18 = 20 one step equations

Answers

Answer: the answer is x=38

Step-by-step explanation:

X-18=20 we see that 18 is being SUBTRACTED from the x which means we have to do the opposite of subtraction is addition so 20+18=38

To check: you can plug 38 for x and subtract it from 18

Demonstration: 38-18=20

X = 38

Step-by-step explanation:

X-18 = 20

we move the constants (numbers) to one side and keep the variable, unknown on the other side

X= 20+18 (we change the sign whenever we move something to the opposite side)

x= 38

somebody please help!!!!!!!!!!!!
thank youu​
[find the x ]

Answers

Answer:

I fell like guiding you would be better.
First, help yourself by labelling all vertex's (there should be 5 so a,b,c,d,e).

You know that they are 2 sets of similar triangles cuz there is a 70 degree on in both and a common on

Then all you need to do is set up the proportion.

I can't give you the answer cuz I don't have much time, but I feel like you can figure it out. If this helped you, pls rate it decent, but if not just 1-star it I don’t care

Can anyone please help me? Thanks for any responses! :)

Solve:
[tex]x^{2}+5+6=0[/tex]

Answers

Answer:

x = ± √11 i

Step-by-step explanation:

x^2 + 5 + 6 = 0

subtract 6 and 5 from both sides

x^2 = -11

find the square root of both sides

x = ± √-11

x = ± √11 √-1

x = ± √11 i

HI, look at the following picture and sorry for my handwriting I was in a rush>>>

The greater the proportion of ____ in the population, the higher the crime rate and the greater the number of persistent offenders.

Answers

Answer:

I think its young men

Jermaine makes c cookies and splits them between 7 friends. Which expression represents how many cookies each friend gets?

Answers

14 is the correct awnser

Find the mean, median, and mode of 45, 52, 17, 63, 57, 42, 54, 58

Answers

Answer:

Step-by-step explanation:

to find the mean is another way of saying to find the average. To do this we add all the listed values(45,52,17,63,57,42,54,58) then divide them by how many values we are given which in this case is 7. so the mean would be 49. now to find the median we must first put the values in numeric order(17,42,45,52,54,57,58,63) then see the number in the middle or in cases or even number of values we find the two values in the middle of the set then we add them together and divide by two. which would be 53. now to find the mode we simply find the most reoccurring number in the set and seeing as there are no repeated values in this set there is no mode.

100/12 as a mixed number

Answers

Answer:

8 and 1/3

Step-by-step explanation:

100 divided by 12 and then the leftover. Also needs to be simplified from 4/12 to 1/3 (:

A cylinder has a radius of 4 centimeters and a height of
5 centimeters.
What is the volume of the cylinder?

Answers

Answer:

the answer for your question is 80pi

Will give brainliest!!! Plz help

Answers

Answer:

115.5

Step-by-step explanation:

comparing side lengths of 49 and 28:

49 ÷ 28 = 1.75, so to get from 28 to 49 multiply by 1.75

this is the same thing for side lengths 38.5 and 22 as

22 × 1.75 = 38.5

the scale factor of the first triangle (GHI) to the second triangle (JKL) is 1.75 which means multiply each side of the first triangle by 1.75

so to work out x:

16 × 1.75 = 28

perimeter of JKL (second triangle) - add up lengths of the sides:

28 + 38.5 + 49 = 115.5

the piggybank had 25.65 in dimes and quarters if there were 20 more quarters than dimes, how many dimes were in the piggybank

Answers

x = number of dimes
y = number of quarters
---
10x + 25y = 2565
y = x + 20
---
put the system of linear equations into standard form
---
10x + 25y = 2565
x - y = -20
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = 59
y = 79

A ship has an island directly in the path of the destination port, so it has to travel 11.5 miles west and then 8.4 miles north to get to the port. To the nearest tenth,how much shorter would the trip be if the ship could go directly to port?

Answers

Answer:

Step-by-step explanation:

The direct distance there (without the island in the way) is found using the Pythagorean Theorem

c^2 = a^2 + b^2

a = 8.4

b = 11.5

c = ?

c^2 = 8.4^2 + 11.5^2              Square the length of the legs.

c^2 = 70.56 + 132.25            Combine  

c^2 = 202.81                          Take the square root.

c = 14.24

But the island is there. The distance travelled = 8.4 + 11.5 = 19.9 miles

So the additional distance = 19.9 - 14.24 = 5.66 miles.

I need help!!!!!!!!!

Answers

I don't know this stuffit looks really hardI'm in 6 gradewhat grade work is thissorry but I can not help youbut one thing is for sureI think think its the fourth oneit looks less than bla bla bla and greater than bla bla blapeople say I'm smartits true I'm smartbut some work I don't understandlike don't get me wrong on thisthis is suppose to be a app that helps people to do there worknot a app for other people to help others to do there work rightis that not truethis app just want to bla bla blayou don't know ant to know well it time for me to goI'll mabey not see you againbecause you'll be dead muhahahahI'm a hacker I can hack you anytime I want muhahaha

what is the center? what is the radius

Answers

Answer:

Center: (2/3, 0) Radius: 6

Step-by-step explanation:

I used desmos(.com) to graph the equation.

The baseball team needs new uniforms.
Each uniform costs $28. There are 14
players on the team. What is the cost of
new uniforms for the team?

Answers

Answer:

392

Step-by-step explanation:

You can multiply

28 • 14

=392

Evaluate the indefinite integral using substitution method.
[tex]\displaystyle \large{\int {(x-2)\sqrt{3-x}} \ dx }[/tex]

Answers

[tex] \frac{2(3 - x)^{ \frac{5}{2} } }{5} - \frac{2(3 - x)^{ \frac{3}{2} } }{3} + C[/tex]is the answer

Step-by-step explanation:-

Given:

[tex]{\int {(x-2)\sqrt{3-x}} \ dx }[/tex]

Differentiate on both sides,

[tex]{\int {(x-2)\sqrt{3-x}} \ dx },u = 3 - x[/tex]

Isolate and substitute back,

[tex]{\int {(x-2)\sqrt{3-x}} \ \times ( - 1) du },u = 3 - x[/tex]

Substitute back,

[tex]{\int ( - ( - u + 3 - 2) \sqrt{u})du }[/tex]

Applying property of integral kf(x)dx = kf(x)dxdx,

[tex] - ∫ ( - u + 3 - 2) \sqrt{u} \: du,u = 3 - x[/tex]

Combining like terms,

[tex]- ∫ ( - u +1) \sqrt{u} \: du,u = 3 - x[/tex]

Now applying distributive property,

[tex]- ∫ (( - u +1) \sqrt{u}) \: du,u = 3 - x[/tex]

[tex] = > - ∫ ( - \sqrt{u} \times u + \sqrt{u} )\: du,u = 3 - x[/tex]

Converting to exponential form,

[tex]- ∫ ( - u^{ \frac{1}{2} } \times u + u^{ \frac{1}{2} } )\: du,u = 3 - x[/tex]

Multiplying the first two monomuals after integral, we get,

[tex]- ∫ ( - u^{ \frac{3}{2} } + u^{ \frac{1}{2} } )\: du,u = 3 - x[/tex]

Now applying the prperty of ∫ f(x) + g(x)dx = ∫ f(x)dx + ∫ g(x)dx,

[tex] - ( - ∫u^{ \frac{3}{2} } \: du + ∫u^{ \frac{1}{2} } \: du),u = 3 - x[/tex]

Now integrate the power rule,

[tex] - ( - \frac{u^{ \frac{5}{2} }}{ \frac{5}{2} } + \frac{u^{ \frac{3}{2} }}{ \frac{3}{2} } ),u = 3 - x[/tex]

Divide the fractions by multiplying its reciprocals,

[tex] - ( - u^{ \frac{5}{2} } \times \frac{2}{5} + u^{ \frac{3}{2} } \times \frac{2}{3}),u = 3 - x[/tex]

Now write as single fractions,

[tex] - ( - \frac{2u^{ \frac{5}{2} } }{5} + \frac{2u^{ \frac{3}{2} } }{3})[/tex]

Removing the parentheses,

[tex] \frac{2u^{ \frac{5}{2} } }{5} - \frac{2u^{ \frac{3}{2} } }{3},u = 3 - x[/tex]

Substitute back,

[tex] \frac{2(3 - x)^{ \frac{5}{2} } }{5} - \frac{2(3 - x)^{ \frac{3}{2} } }{3} [/tex]

Now adding the constant of integration C∈R,

[tex] \frac{2(3 - x)^{ \frac{5}{2} } }{5} - \frac{2(3 - x)^{ \frac{3}{2} } }{3} + C[/tex]

Hence, the answer.

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