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3 years ago

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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A ball is thrown in the air from a height of 3 m with an initial velocity of 12 m/s. To the nearest tenth of a second, how long

stepladder [879]

Answer: 1.4 seconds

<u>Step-by-step explanation:</u>

The equation is: h(t) = at² + v₀t + h₀ where

a is the acceleration (in this case it is gravity)
v₀ is the initial velocity
h₀ is the initial height

Given:

a = -9.81 (if it wasn't given in your textbook, you can look it up)
v₀ = 12
h₀ = 3

Since we are trying to find out when it lands on the ground, h(t) = 0

EQUATION: 0 = 9.81t² + 12t + 3

Use the quadratic equation to find the x-intercepts

a=-9.81, b=12, c=3

$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-9.81)(3)}}{2(-9.81)}\\\\\\x=\dfrac{-12\pm 16.2}{-19.62}\\\\\\x=\dfrac{-12+ 16.2}{-19.62}=-0.2\qquad x=\dfrac{-12- 16.2}{-19.62}=\large\boxed{1.4}\\$

Note: Negative time (-0.2) is not valid

4 0

3 years ago

Find the measure of the indicated angle to the nearest degree

Alisiya [41]

Answer:

The answer to your question is below

Step-by-step explanation:

14) sin Ф = 32/33

sin Ф = 0.9697

Ф = 75.86°

15) sin Ф = 16/36

sin Ф = 0.444

Ф = 26.39°

16) sin Ф = 29/36

sin Ф = 0.806

Ф = 53.66°

17) cos Ф = 11/34

cos Ф = 0.324

Ф = 71.12°

18) sin Ф = 21/40

sin Ф = 0.525

Ф = 31.67°

19) cos Ф = 6/14

cos Ф = 0.429

Ф = 64.62°

20) cos Ф = 38/39

cos Ф = 0.974

Ф = 13°

3 0

3 years ago

Topic: Absolute Value Equations and Inequalities

jolli1 [7]

The values of x are -22 and -2 and there are not extraneous solutions

<h3>How to solve the equation?</h3>

The equation is given as:

2|x + 7|= x - 8

Expand the absolute bracket

|2x + 14|= x - 8

Remove the absolute bracket

2x + 14 = x - 8 and 2x + 14 = -x + 8

Evaluate the like terms

x = -22 and 3x = -6

This gives

x = -22 and x = -2

Hence, the values of x are -22 and -2 and there are not extraneous solutions

Read more about absolute value expressions at:

brainly.com/question/24368848

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4 0

2 years ago

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Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

6 0

3 years ago

How do i write b + 3 = b^2 in verbal expression

igor_vitrenko [27]

Answer:

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7 0

3 years ago