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sweet [91]
3 years ago
15

Given that segment FE is parallel to segment DG, which of the following statements is NOT true?

Mathematics
2 answers:
velikii [3]3 years ago
6 0
The answer is B i believe
zlopas [31]3 years ago
6 0

Answer:  The correct option is

(B)  triangle HFE is congruent to triangle HGD.

Step-by-step explanation:  Given that the segment FE is parallel to segment DG in the figure.

We are to select the statement that is NOT true.

From the figure, we note that FE is parallel to DG and FG is a transversal, so we have

m∠HFE = m∠HGD

Again, FE is parallel to DG and ED is a transversal, so we have

m∠HEF = m∠HDG

Also, m∠EHF = m∠DHG [vertically opposite angles]

Therefore, ΔHFE is similar to ΔHGD by AAA similarity postulate.

We know that the corresponding sides of two similar triangles are proportional, so we get

\dfrac{DG}{FE}=\dfrac{HD}{HE}.

Thus, options (A), (C) and (D) are TRUE.

Only option (B) is NOT TRUE.

Option (B) is CORRECT.

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Anni [7]

First we have to find derivative of f(x):

f(x)=e^x \Rightarrow f'(x)=e^x

For x=2 we have:

f'(2)=e^2

Now, \ln f'(2)=\ln e^2 = 2

Hence, the answer is A) 2

5 0
4 years ago
Cathy and iris are planning trips to nine countries this year. There are 13 countries they would like to visit. They are decidin
Goshia [24]

Cathy and Iris have 259,459,200 ways to skip countries.

Data;

  • Number of countries they are planning to visit = 9
  • Number of countries they would like to visit = 13

<h3>Combination</h3>

To solve this problem, we would have to use a mathematical procedure known as combination.

Let us calculate the number of countries that would have to skip.

13 - 9 = 4

To decide which country they have to skip, it would be 4 out of 13.

x = ^1^3C_4 = \frac{13!}{4!}

Let's solve this

\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways

Cathy and Iris have 259,459,200 ways to skip countries.

Learn more on combination here;

brainly.com/question/12468032

6 0
2 years ago
The probability of getting a reading between 0.50°c and 2.00°c is
ziro4ka [17]
GOogle khan acdemy probability
5 0
4 years ago
You can use this rule to work out the total cost of hiring a car. Total cost = £4 per hour plus £12. Arun hires a car for 5 hour
Kazeer [188]

Answer:

£32

Step-by-step explanation:

12 + 4(5) = 32

Stay safe! <3

6 0
3 years ago
Can the following points be on the graph of the equation x-y = 0? Explain
MaRussiya [10]
Hi there! I don’t see any answer choices listed, however this function takes place in the First and Third quadrants of an xy plane. This means that the values will either be at the origin (0,0) or equal numbers with the same sign. For example, (2,2), (-8,-8), and (1.38,1.38) would all be possible points. When looking at points that are given, plug x and y into your equation and see if they give the right answer. If you come across a value with different signs, such as (-4,4) or (9.3,-9.3), that will be excluded from the equation or line on a graph. PS. x-y=0 simplifies to x=y, which might make it a bit easier to look at, and on a graph y=x is simply a diagonal line across quadrants I and III. Let me know if you need any extra help!
6 0
4 years ago
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