MATHEMATICS HIGH SCHOOL

In a plane, if one of two parallel lines is _____ to another line, the other of the two lines is perpendicular to that line.a. congruent
b. perpendicular
c. parallel
d. equal

Answers

Answer 1
Answer:

Answer: Hello mate!

the phrase is:

"In a plane, if one of two parallel lines is _____ to another line, the other of the two lines is perpendicular to that line."

the angle between two parallel lines is equal to zero.

if one of the parallel lines is perpendicular to a third line, this means that the angle formed by bot lines is equal to 90°.

And because the second parallel line has an angle of 0° with respect of the first one, then the angle formed with the third line is also 0° + 90° = 90°, so is also perpendicular.

Then the answer is "perpendicular".
Answer 2
Answer:

Answer:

B. perpendicular

Step-by-step explanation:

Hope this helps.

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What is the volume of this sphere?Use 3.14 for pi and round to the nearest hundredth when necessary.





113.04 cm³


678.24 cm³


904.32 cm³


7234.56 cm³

Answers

Answer:

The volume of the sphere is 904.32\ cm^(3)

Step-by-step explanation:

we know that

The volume of the sphere is equal to

V=(4)/(3)\pi r^(3)

In this problem we have

D=12\ cm -----> given problem

Find the radius

r=12/2=6\ cm ----> the radius is half the diameter

substitute

V=(4)/(3)(3.14)(6^(3))=904.32\ cm^(3)

Which number best describes the number of stars you would find in a galaxy? A. hundreds B. thousands C. millions D. billions

Answers

D. there are much more stars in the galaxy than just billions, but this is the biggest that is given here.
Billions, although there are more.

Did you know that there are more stars than grains of sand on any beach? This is true and is really interesting.

A point moves on the x-axis in such a way that its velocity at time t (t>0) is given by v=lnt/t. At which value of t does v attain its maximum? (A) 1
(B) e^(1/2)
(C) e
(D) e^(3/2)
(E) There is no maximum value for v.

Answers

(D) e^(3/2)

v = ln(t) / t 

max of v when dv/dt = 0 
dv/dt = (t/t - ln(t))/t² 
= [1 - ln(t)]/t² = 0 
ln(t) = 1 
t = e (option C) 

check this is a max and not a min 
d²v/dt² = [t²(-1/t) - 2t(1 - ln(t))]/t^4 
= [-1 - 2t + 2t ln(t)]/t^4 

= [-1 - 2e + 2e ln(e)]/e^4 
= [-1 - 2e + 2e]/e^4 
= -1/e^4 < 0 so it is a max 

The sum of three consecutive numbers is 84. What is the largest of these numbers? (5 points) a 28 b 26 c 29 d 27

Answers

Answer:

Largest number = 29

Step-by-step explanation:

Let the consecutive numbers by (x + 1) ; (x + 2) and (x +3)

x +1 + x + 2 + x + 3 = 84         {Combine like terms}

x + x +x + 1  + 2 + 3 = 84

               3x + 6 = 84

                    3x = 84 - 6

                     3x = 78

                        x = 78/3

x = 26

Largest number = x + 3 = 26 + 3

                           =29

Answer:

The answer is c.29

Step-by-step explanation:

I used Google xD

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Answers

the method of changing a degree to a radian is to multiply with 1/180

1,000,000 to scientific notation

Answers

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1 000 000.0

We move the decimal point to the left hand side until we have a number that is from 1 to 9.

Should we move the point.   

= 1.0 * 10⁶
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