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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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Find the four real zeros of the polynomial. f(x) = x4 + 6x3 - 3x2 -52x - 60
OLEGan [10]
The function is 

f(x)=x^4+6x^3-3x^2-52x-60

The "zeros" of a function, are the values of x, for which f(x)=0


According to the "Rational Root Theorem", the rational roots of f, are factors of 60.

That is, when trying to find the roots of a polynomial function, it is a very good idea to first check the factors of the constant term.


All numbers shown in the choices are factors of 60, so we will solve the problem by trial:


f(2)=2^4+6\cdot2^3-3\cdot2^2-52\cdot2-60=16+48-12-104-60 \neq 0

2 is not a root, so we eliminate choices A and D, 

Choices B and C are almost equal, with only 1 different number, so let's check whether 5 is a root or not:


f(5)=(5)^4+6\cdot(5)^3-3\cdot(5)^2-52\cdot(5)-60

=625+750-75-160-60=60


but 

f(-5)=(-5)^4+6\cdot(-5)^3-3\cdot(-5)^2-52\cdot(-5)-60

=625-750-75+160-60=0

So the right choice is B
7 0
4 years ago
What is the solution to x+4=12?
vlada-n [284]
X=8 12-4=8 ...........
5 0
3 years ago
Shelia is making a cake. She
vesna_86 [32]

She need 1/12 cup of oil. A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.

<h3>What is meant by fraction?</h3>
  • A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.
  • fraction, A number expressed as a quotient in arithmetic, in which a numerator is divided by a denominator. Both are integers in a simple fraction.
  • A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator. A fraction is a portion of a whole number and a method of dividing a number into equal parts.

<h3>How to find how much cup she want?</h3>

  • She needs 1/3 cup of oil
  • She have 1/4 cup of oil

To find how much need to obtain 1/3 of cup

we need to subtract what we have from what we need.

so , we have 1/4 and need 1/3

 = 1/3 - 1/4

 = \frac{1 * 4}{3 * 4} - \frac{1 * 3}{4 * 3}

 = 1/12

she need 1/12 cup of oil more to make cake.

To Learn more about fraction refer :

brainly.com/question/1622425

#SPJ9

6 0
1 year ago
Hiii! Plzz help!
maksim [4K]
1/6 of a minute is also 1/6*60 which equals to ten seconds. To find how many words she can type in 120 seconds, we need to divide 120 by 10 and then multiply the rate. 120/10 = 12, and then we multiply 12 by 8. 12*8=96
8 0
3 years ago
Read 2 more answers
50 points and I’ll mark you brainiest if correct.
Goryan [66]

Answer:

The container can hold 18 gallons

Step-by-step explanation:

Assume the container can hold x gallons

∵ The container is \frac{2}{3}  full with water

∵ It can hold x gallons

→ Multiply \frac{2}{3} by x to find the number of gallons in the container

∴ The number of gallons in the container = \frac{2}{3} x

∵ 4 gallons of water pouring out

∵ It is  \frac{4}{9} full

→ Multiply \frac{4}{9} by x to find the number of gallons left in it

∴ The number of gallons left in the container = \frac{4}{9} x

→ The difference between the numbers of gallons is 4 gallons

∵  \frac{2}{3} x - \frac{4}{9} x = 4

→ Subtract the terms of the left side

∴ \frac{2}{9} x = 4

→ Multiply both sides by 9

∴ 2x = 36

→ Divide both sides by 18

∴ x = 18

∵ x represents the full of the container

∴ The container can hold 18 gallons

7 0
3 years ago
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