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Cloud [144]
3 years ago
11

Line b passes through points (5, 5) and (10, 8). Line c passes through points (4, 8) and (1, 13). Are line b and line c parallel

or perpendicular?
Mathematics
1 answer:
lora16 [44]3 years ago
3 0

Answer:

Step-by-step explanation:

In going from (5, 5) to (10, 8), x (the run) increases by 5 and y (the rise) increases by 3.  Thus, the slope of the line connecting the first two points is m = 3/5.

In going from (1, 13) to (4, 8), x (the run) increases by 3 and y (the rise) decreases by 5.  Thus, the slope of the line connecting the first two points is m = -5/3

Because these results are negative reciprocals of one another, the two lines are PERPENDICULAR to one another.

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a box of crackers has a volume of 48 cubic inches. what is the volume of a similar box that is smaller by a scale factor of 2/3
earnstyle [38]
For this case what you need to know is that the original volume of the cookie box is:
 V = (w) * (l) * (h)
 Where,
 w: width
 l: long
 h: height.
 We have then:
 V = (w) * (l) * (h) = 48 in ^ 3
 The volume of a similar box is:
 V = (w * (2/3)) * (l * (2/3)) * (h * (2/3))
 We rewrite:
 V = ((w) * (l) * (h)) * ((2/3) * (2/3) * (2/3))
 V = (w) * (l) * (h) * ((2/3) ^ 3)
 V = 48 * ((2/3) ^ 3)
 V = 14.22222222 in ^ 3
 Answer:
 the volume of a similar box that is smaller by a scale factor of 2/3 is:
 V = 14.22222222 in ^ 3
6 0
3 years ago
62\100 <br> simplest form<br><br> 45\100<br> simplest form
vlabodo [156]

Answer:

62/100= 31/50

45/100= 9/20

Step-by-step explanation:

Divide 62 and 100 by two to simplify

Divide 45 and 100 by 5 to simplify

5 0
2 years ago
Read 2 more answers
What is the length of the hypotenuse of a right triangle whose legs have lengths of 5 and 12?
ruslelena [56]
It would be 13... if I did my math right.
6 0
2 years ago
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(x + 1)2 = 25<br> Answer ?!
Ilia_Sergeevich [38]

Answer:

x = 12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help if good
Mariana [72]

Answer:

a=formula : Sum of all side

= 3+5+3

=11 ans

Step-by-step explanation:

formula is sum of all side

so add 3+5+3 ans =11

this is simple method

4 0
2 years ago
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