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umka2103 [35]
2 years ago
7

Determine which statements are true in the set of real numbers3. (Select all that apply.) (a) Two lines parallel to a third line

are parallel. (b) Two lines perpendicular to a third line are parallel. (c) Two planes parallel to a third plane are parallel. (d) Two planes perpendicular to a third plane are parallel. (e) Two lines parallel to a plane are parallel. (f) Two lines perpendicular to a plane are parallel. (g) Two planes parallel to a line are parallel. (h) Two planes perpendicular to a line are parallel. (i) Two planes either intersect or are parallel. (j) Two lines either intersect or are parallel. (k) A plane and a line either intersect or are parallel. Incorrect: Your answer is incorrect.
Mathematics
1 answer:
sashaice [31]2 years ago
4 0

Answer:

(a) True

(b) False

(c) True

(d) False

(e) False

(f) True

(g) False

(h) True

(i) True

(k) True

Step-by-step explanation:

(a) Two lines parallel to a third line are parallel

True

(b) Two lines perpendicular to a third line are parallel

Only for  lines on the same plane

Therefore, false

(c) Two planes parallel to a third plane are parallel

True

(d) Two planes perpendicular to a third plane are parallel

The two planes can be at an angle to each other and so intersect

Therefore, false

(e) Two lines parallel to a plane are parallel

Where the two lines are on a plane parallel to the first plane but the lines are not themselves parallel to each other they intersect

Therefore, false

(f) Two lines perpendicular to a plane are parallel

True

(g) Two planes parallel to a line are parallel

Where the planes are not parallel to each other, they will intersect

Therefore, false

(h) Two planes perpendicular to a line are parallel

True

(i) Two planes either intersect or are parallel

True

(k) A plane and a line either intersect or are parallel

True.

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Nana76 [90]

Let speed of the boat in still water = x miles per hour

Let speed of the current = y miles per hour


When water and current both flow in same direction then effective speed will be sum of both speeds that is (x+y)


now plug the given values in formula speed=distance/time

we get equation:

(x+y)=160/8

or x+y=20...(i)


When water and current both flow in opposite direction then effective speed will be difference of both speeds that is (x-y)

now plug the given values in formula speed=distance/time

we get equation:

(x-y)=160/40

or x-y=4

or x=4+y...(ii)


plug value of x into (i)

4+y+y=20

4+2y=20

2y=16

y=8


plug value of y into (ii)

x=4+8=12


Hence final answer is given by:

Speed of the boat in still water = 12 miles per hour

Speed of the current = 8 miles per hour


4 0
3 years ago
JANITIA IS 15 YEARS OLD AND HER BROTHER IS 5 YEARS. WHAT IS THE RATIO OF JANTIA AGE TO HER BROTHER AGE
riadik2000 [5.3K]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
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snow_tiger [21]

Answer:

Now, derive it from the calculations

Step-by-step explanation:

Net income = 100% = N120,000

therefore

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2.Housing

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(32 + 9 − 1) + (−52 + 6 − 10)
egoroff_w [7]

Answer:

-16

Step-by-step explanation:

(32+9-1)+(-52+6-10) \\ \\ =(41-1)+(-46-10) \\ \\ =40-56 \\ \\ =-16

3 0
1 year ago
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Mollie watches a film that lasts 130 min it begins at 6:15 pm. What time did it end?
Natalka [10]
Answer:

Starts at 6:15

Note: An hour is 60 minutes.

So an hour after 6:15 is 7:15 and an hour after that is 8:15. Now just add another 10 minutes and you get 8:25.

So the film ended at 8:25.

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