Segment EG is an angle bisector of angle FGH. Noah wrote a proof to show that triangle HEG is congruent to triangle FEG. Noah's proof is not correct. Which line of Noah's proof is incorrect, and why1. Side EG is congruent to side EG because they're the same segment.

2. Angle EGH is congruent to angle EGF because segment EG is an angle bisector of angle FGH.

3. Angle HEG is congruent to angle FEG because segment EG is an angle bisector of angle FGH.

4. By the Angle-Side-Angle Triangle Congruence Theorem, triangle HEG is congruent to triangle FEG.


Line 2 is incorrect; there is not enough information given to state this.
Line 2 is incorrect; there is not enough information given to state this.

Line 2 is incorrect; even though segment EG is a bisector, angles EGH and FGH are not necessarily congruent.
Line 2 is incorrect; even though segment , EG, is a bisector, angles , EGH, and , FGH , are not necessarily congruent.

Line 3 is incorrect; we don't know anything about the lengths of HG, FG, HE, and EF, so this line is not valid based on the given information.
Line 3 is incorrect; we don't know anything about the lengths of , HG, , , FG, , , HE, , and , EF, , so this line is not valid based on the given information.

Line 4 is incorrect; Angle-Side-Angle is not a valid congruence theorem.
Line 4 is incorrect; Angle-Side-Angle is not a valid congruence theorem.

Answers

Answer 1

Answer:

Line 3 is incorrect; we don't know anything about the lengths of HG, FG, HE, and EF, so this line is not valid based on the given information.

Step-by-step explanation:

In the Noah's poof of the construction, segment EG would divide angle FGH into two equal parts, which makes line 2 to be valid. i.e <EGH ≅ <EGF. And it can also be observed that line 4 is a valid theorem in proving the congruent nature of triangles.

But line 3 is not valid because of the condition of the statement. Furthermore, segments FG, EG, HG, HE and FE may not be congruent. Thus, the condition of the statement in line 3 is incorrect.


Related Questions

A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.


The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.


The margin of error of the population proportion is found using half the range.


What is the interval estimate of the true population proportion?





(0.30,0.42)


(0.20,0.52)


(0.24,0.48)


(0.22,0.50)

Answers

Answer:

(0.30, 0.42)

Step-by-step explanation:

Given the sample proportion is = 0.36

Number of trials required for determining the margin of the error = 100

Sample size, n = 50

The point estimate = 0.36

The minimum sample proportion form the simulation = 0.28

The maximum sample proportion from the simulation = 0.40

Also the margin of the error of population proportion is found by using the half of the range.

Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)

AD=3, BD=5, AE=4. Find CE

Answers

Answer:

6.6

Step-by-step explanation:

Triangles ADE and ABC are similar.

Therefore,

AD/AB=AE/AC

3/8=4/AC

3AC=32

AC=10.6(3 s.f)

CE=10.6-4=6.6

name an outcome that has a probability between 0.5 and 1​

Answers

Answer:

a coin flip

Step-by-step explanation:

The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.

Please help someone! Very important!

Answers

Answer:

OH NO

Step-by-step explanation:

Step-by-step explanation:

oh srr, I'm Vietnamese and I don't know your

country's solution

but i think my answer is correct :((

please help! (listing BRAINLIST and giving points) ​:D​

Answers

X = 56+66 (sum of interior opposite angles)
X = 122 degree

For any exponential function of the form f(x) = a · b^x where b≠0, what is the y-intercept of the graph of f(x)?

(0,a)
(1,0)
(a,0)
(0,1)

Answers

Answer:

1) (0,a)

Step-by-step explanation:

f(0) = a. b^0 = a. 1 = a

=> (0,a)

Henrieta drove 250 miles in 4 hours. How much miles did she drive in 10 minutes?​

Answers

Answer:

625 miles

Step-by-step explanation:

250/4=62.5

62.5*10 = 625

Answer:

Below.

Step-by-step explanation:

There are 6 * 10 minutes in 1 hour and 4*6 = 24  10minutes in 4 hours.

So in 10 minutes she travels 250 / 24

= 10.417 miles to nearest thousandth.

A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?

Answers

Answer: 61.25 meters

8.75meters x 7mins= 61.25 meters

Step-by-step explanation:

Well it would be 8.75 ×7 which is 61.25m

Find f(-2) for f(x) = 3x2^x

Answers

2^-2
Is 1/2^2=1/4
3 x 1/4 is 3/4
The answer is 3/4 I think

The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The value of function is,

⇒ f (x) = 3 × 2ˣ

Now,

At x = - 2;

The value of function f (- 2) would be,

⇒ f (x) = 3 × 2ˣ

⇒ f (- 2) = 3 × 2⁻²

⇒ f (- 2) = 3 × 1 / 4

⇒ f (- 2) = 3 / 4

Thus, The value of function f (- 2) would be,

⇒ f (- 2) = 3 / 4

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2

Answers

132 units2

Just find the area of each shape:
Big triangle- 1/2 x 8 x 9 = 36 units2
Small triangle- 1/2 x 4 x 6 = 12 units2
Big rectangle: 15 x 4 = 60 units2
Small rectangle: 6 x 4 = 24 units2

Add them all up together:
36 + 12 + 60 + 24 = 132 units2

Trust me this is the answer.
COM.MENT ME IF U HAVE ANY QUESTIONS
(Pls say if im right)

A brainliest would be nice!
-SpaceMarsh

Which summation properties or formulas must be used to evaluate this summation? Check all that
apply

Answers

Given:

Summation problem is:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

In can be rewritten as:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex]        [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex]  [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]

Therefore, the properties and formula used are:

[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]

Answer: see attachment below

Step-by-step explanation:

What is the value of x? 63, 42, 50

Answers

Answer:

Step-by-step explanation:

What is an equation that is true for all values of the variable

Answers

Answer:

x=x

Step-by-step explanation:

The nth term of a sequence is given by the rule 3n -1. What is the 10th term of the sequence?

Answers

Answer:

well, just put in 10 instead of n, after all we want the 10th, not the n'th

3*10 -1 = 29

simple as that.

hope it helps you. if you got further questions just put them in a comment:)

if the orginal quantity is 15 and the new quantity is 19 estimate the percent change of which of these is the best esitmate for the percet change

A. 25% DECREASE

B. 5% DECREASE

C 25% INCREASE

D 5% INCREASE

Answers

Answer:

The awnser should be 5% increase or D

Step-by-step explanation:

This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.

5% increase? 25% increase would be way to high and it’s going up not down so it’s not decreasing:)

solve for x to the nearest tenth y completing the square: x^2-5x+7=0​

Answers

Answer:

does not have a solution because √-0.75 ≠ R

Step-by-step explanation:

x^2 - 5x + (5/2)^2 = -7

x^2 - 5x + 6.25 = -7 + 6.25

(x - 2.5)^2 = -0.75

(x - 2.5) = √-0.75

does not have a solution because √-0.75 ≠ R

Answer:

x = (1/2)(5 ± i√3)

Step-by-step explanation:

x² - 5x + 7 = 0

subtract 7 from both sides

x² - 5x = -7

Use half the x coefficent, -5/2, as the complete the square term

(x - 5/2)² = -7 + (-5/2)²

(x - 5/2)² = -7 + 25/4

(x - 5/2)² = -3/4

Take the square root of both sides

x - 5/2 = ±(√-3) / 2

x - 5/2 = ±(i√3) / 2

Add 5/2 to both sides

x = 5/2 ± (i√3) / 2

factor out 1/2

x = (1/2)(5 ± i√3)

Graph the line with slope - 1 passing through the point (-3, 3). ​

Answers

Answer:

Y=-x

Step-by-step explanation:

Y=mx+c

y=3, x= -3, m=-1

(-1)(-3)=3

3-3=0

S0,

c=0

y=-x

Answer:

This is how your graph with slope of -1 and (-3,3) should look like. I hope this helps you!!

Step-by-step explanation:

9 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the
gold, silver, and bronze medals be awarded?

Answers

Answer:

in three different ways the first one gets a gold one the other 4 printers get silver n the last 4 printers get bronze.

Ravi bought a pack of 30 biscuits. He ate a fifth of them on Thursday.He ate a third of the remaining biscuits on Friday How Many biscuits did he have left?

Answers

Answer:

if I'm not mistaking (please correct if I'm wrong) but I think he would have 16 left.

Step-by-step explanation:

you have to divide one-fifth of 30 which would get you 6, then divide one-third of 24 ( because 30 - 6 is 24) then total both fractions to get 14. then finally subtract 14 from 30 to get 16.

Translate the sentence into an equation. The quotient of a number and 8 is 16. What is the solution to the equation? One-half 2 128 164

Answers

Answer:

128

Step-by-step explanation:

I did the math

Answer:

it's 2 :)

Step-by-step explanation:

quotient is a term used in division so you divide

16 divided by 8 is 2 <3

don't forget to say thanks if you got it right ! :)

Frank earns 56,600​$ one year and receives a 9 ​% raise in salary. What is his new​ salary?

Answers

Answer:

His new salary would be $61,694

Step-by-step explanation:

Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO​

Answers

Answer:

Yes , and u can learn a lot just by answering an asking questions

The table shows the completion times of four Horses in a race.
Horses
Time (Seconds)
Horse-3
1512
Horse-4
15.4
Horse-2
154
Horse-1
15.8
Which list shows the Horses in order by their completion times from fastest to slowest?
A. Horse-1, Horse-3, Horse-2, Horse-4
B.
Horse-4, Horse-3, Horse-2, Horse-1
C. Horse-4, Horse-2, Horse-3, Horse-1
D. Horse-1, Horse-2, Horse-3, Horse-4

Answers

Answer:

I think the answer is option B

Answer:

I think it is (b

Step-by-step explanation:

Determine which ordered pair is a solution of y = -5x - 1.
a. (9,-2)
b. (5, 24)
C. (-1,6)
d. (-4, 19)

Answers

Answer:

d.

Step-by-step explanation:

1) just to substitute the value of 'x' into the given equation and check equality:

(9;-2): -2≠ -45-1;

(5;24): 24≠-25-1;

(-1;6): 6≠5-1;

(-4;19): 19=20-1.

Kelly collected $15, $15, $25, and $29 in the last four donations. What is the
mode of these donations?

A. $15
B.$20
C. No mode

Answers

Step-by-step explanation:

15 may be

HOPE IT HELP U ...

Answer:

A. $15 is the mode.

Step-by-step explanation:

In order to answer this question, we need to know the definition of mode. "The mode of a set of numbers is the number that occurs the most" Since out of the four numbers, the one that appears the most is $15, then $15 is the mode.

Find the value of x to the nearest tenth. 2 4 x 8

Answers

192 because if you put 24 into 8 groups there are 192

Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?

Answers

Answer:

What is 1/3 of 814

Step-by-step explanation:

What is 1/3 of 814

Answer: I think C

Step-by-step explanation:

A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.

Answers

Answer:

36

Step-by-step explanation:

The shape of a carpet is a semicircle. Use 22 7 as an approximation for π. a) Find its area. b) Janice wants to put a fringed border on all sides of the carpet. How many feet of fringe are needed?

Answers

Answer:

Step-by-step explanation:

The solution is : a) area of the semicircle = 76.97 ft^2.

b) Janice wants to put a fringed border on all sides of the carpet : 36ft.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

Here, we have,

given that,

The shape of a carpet is a semicircle.

from the given diagram, we get, the diameter = 14ft

now, we know that,

area of the semicircle = πr²/2

here, we have,

diameter = 14 ft

so, radius = 14/2 = 7 ft

so, area = π*7²

             = 153.94

a.) so, area of the semicircle = 76.97 ft^2

again,  

b) Janice wants to put a fringed border on all sides of the carpet,

so, the perimeter = π r + d

                            = 36ft

Hence, The solution is : a) area of the semicircle = 76.97 ft^2.

b) Janice wants to put a fringed border on all sides of the carpet : 36ft.

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

Sketch the area under the standard normal curve over the indicated interval and find the specified area.

a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48

Answers

Answer:

a) The area of the right of z=0 is P(z >0) =0.5.

b) The area of the left of z=0 is P(z < 0) =0.5.

c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.

d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.

Step-by-step explanation:

Here are the graphs respectively.

Other Questions
Que capacidade fsica consiste em deslocar o corpo no espao o mais rpido possvel, mudando o centro de gravidade de posio, sem perder o equilbrio e a coordenao dos movimentos? Choose the expression equivalent to: (10 x 18) + (10 x s) A) 20x18s AND 180 + 10sB) 180 + 10s AND 10(18 + s)C) 10(18 + s) AND 20 x 18sGiving brainlest Calculate during one year, the birth rate in a country is 28 births per 1000 people, and the death rate is six deaths per 1000 people what is the population growth rate? 15 + 4(10 - 2 5) + 7 =722182767 What is 12 decreased by p? In a class of students, the following data table summarizes how many students have a cat or dog. What is the probability that a student chosen randomly from the class has a cat? To what does the term Holocaust refer?A-Nazi invasion of eastern EuropeB-Nazi invasion of PolandC-concentration camps located at AuschwitzD-the Nazi killing of 6 million European Jews during WWII John Deere Manufacturing Company has two manufacturing departments--Cutting and Soldering for its series 200 lawn tractor body. The company used the following data at the beginning of the year to calculate predetermined overhead rates: Cutting Soldering Estimated total machine-hours (MHs) 1,250 11,400 Estimated total fixed manufacturing overhead cost $ 15,880 $ 37,300 Estimated variable manufacturing overhead cost per MH $ 3.12 $ 2.40 During the most recent month, John Deere started and completed two jobs--Job 1A and Job 1B. There were no beginning inventories. Data concerning those two jobs follow: Job 1A Job 1B Direct materials $ 12,300 $ 8,492 Direct labor cost $ 18,200 $ 5,870 Cutting machine-hours 700 300 Soldering machine-hours 3,600 5,410 Assume that John Deere uses a plantwide predetermined manufacturing overhead rate based on machine-hours and uses a markup of 80% on manufacturing cost to establish selling prices. Answer the following questions. (round predetermined overhead rate to two decimal places) 1. What is the plantwide predetermined MOH rate The Grade 5W students at the Eber Prep School wanted to create a mural on oneside of the walls in their classroom. the area of the wall is 36 square meters or 36meters square. Classify the following triangle check all that apply A baker uses 20cups of flour to make 4 loves of bread. Use this information for the picture below! what is an angle formed by if water were a nonpolar molecule, how would its properties be different Dad, if you are seeing this, then I have run away. Angie has been torturing me ever since you started dating her, and I have had enough of it. I have been trying to tell you, but you would never listen. Goodbye, and Angie, if you are seeing this, I posted this on here, so you will not be able to delete anything. Have a nice life Match the statement with the appropriate reason for the proof above. Answers may be used more than once. You will have to fill in the blanks for 3and 9 so you know the reason to match it with, but you are not picking solutions for 3 and 9 Which of the following statements concerning the economies of Colonial America are true? Bab isnt good with quick mafs Find the average rate of change (-4,-7)(-2,3) who approves the federal budgetcongresspresdienthousePresident and congress 1. Environmental scientists have become concerned that Maryland'sprecipitation is too far from neutral to be safe for healthy aquaticecosystems. What property of water would they test?