1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tensa zangetsu [6.8K]
3 years ago
11

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.
Mathematics
1 answer:
tangare [24]3 years ago
8 0

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.

You might be interested in
3x+15-7x=-7 solve for x
xenn [34]

3x+15−7x=−7

Simplify:

3x+15−7x=−7

3x+15+−7x=−7

(3x+−7x)+(15)=−7(Combine Like Terms)

−4x+15=−7

Subtract 15 from both sides.

−4x+15−15=−7−15

−4x=−22

Divide both sides by -4.

−4x/−4=−22/−4

x=11/2

5 0
3 years ago
Read 2 more answers
100 points the right answer please the set designer for a play painted some background scenery on a large piece of plywood. He u
podryga [215]

Answer:

14 ft

Step-by-step explanation:

Focus on the triangle, and temporarily neglect the 2 ft measurement at the top of the triangle.  Then the 2 legs of the triangle have lengths h - 2 ft and 5 ft, and the hypotenuse is 13.

Applying the Pythagorean Theorem, we get:

13^2 =  (h - 2)^2 + 5^2, or

169 = h^2 - 4h + 4 + 25, or

144 = h^2 - 4h + 4, or

140 = h^2 - 4h, or, finally,

h^2 - 4h - 140 = 0.  We must find the value of h.

I graphed this function on a calculator and found that -10 is a zero.  Thus, the function factors into (h + 10)(h - 14) = 0, or h = 14.

The total height of the piece of plywood is 14 ft.

Check this:  does a right triangle with legs (14 - 2) and 5 have a hypotenuse of 13?  Yes.

7 0
3 years ago
Tanner measured the rate of oil draining from a tank. His measurements showed that the relationship betwđen the height (in inche
podryga [215]

Answer:

8

Step-by-step explanation:

3 0
2 years ago
PLZ HELP FAST!!!
maxonik [38]

Answer:

The range of possible values for the third side called c is;

11 > c or c < 11

Step-by-step explanation:

Here in this question, we are concerned with giving the range of the third side of the triangle.

What we will be using to get this range is the triangle inequality theorem.

Mathematically, the sum of the length of the two sides must be greater than the length of the third side.

So let’s call the third side c

Thus, the range of values we are to work with is;

5 + 6 > c

11 > c

7 0
3 years ago
If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in
vagabundo [1.1K]

Answer:

90% of the variation in the dependent variable is explained by the independent variable.

Step-by-step explanation:

We are given the following in  the question:

coefficient of determination = 0.9

We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.

Coefficient of Determination:

  • The coefficient of determination is a measure that explains and predicts the dependent variable.
  • It explains the variation in the dependent variable caused by the independent variable.
  • The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

\text{Coefficient of Determination} = R^2 = 0.9 = 0.9\times 100\% = 90\%

Thus, 90% of the variation in the dependent variable is explained by the independent variable.

8 0
3 years ago
Other questions:
  • Please need some help on this
    10·1 answer
  • Find the discriminant, and determine the number of real solutions. then solve 2x^2+3x-9=0
    8·1 answer
  • How many vertices are in a polyhedron with 6 triangular faces?
    5·2 answers
  • Agora chess club has 16 members and gains a new memeber every month. The key club has 4 members and gains 4 new members every mo
    5·1 answer
  • The function ƒ is defined by ƒ(x) = (x + 3)(x + 1). The graph of ƒ in the xy-plane is a parabola. Which interval contains the x-
    15·1 answer
  • Asphere with a radius of 7 m. What is the volume of the figure? Round your answers to the nearest tenth, if necessary.
    6·1 answer
  • PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!
    6·1 answer
  • What is the value of B and C
    5·1 answer
  • I will give brainlest, i just need help fast, thx.
    13·2 answers
  • If a sample mean is 32, which of the following is most likely the range of
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!