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lisov135 [29]
3 years ago
5

2. Theorem 2-10 states that through a point not on a line, there

Mathematics
1 answer:
erastovalidia [21]3 years ago
6 0

When two or more lines are <u>parallel</u> to each other, this implies that they do not meet even extending them till <em>infinity</em>. So the <em>statement</em> justifies the construction because only <em>one</em> line <u>through</u> point C can be constructed to be <u>parallel</u> to AB.

When a <u>parallel</u> line is constructed through a <em>point</em> to a given <em>line</em>, this is the only <u>parallel</u> line that can be <em>drawn</em> to the given line. <u>Parallel</u> lines are lines that will not meet at any point. Thus, only one <u>parallel</u> line can be constructed through a <em>point</em> not to a given <em>line</em>.

The construction of a line through C that is <u>parallel</u> to line AB is justified by the given <em>statement</em> in the <em>theorem </em>since this is the only <u>parallel</u> line to line AB that can be drawn <em>through</em> the point C. Any <em>other line</em> through C would <em>intersect</em> or <em>meet</em> line AB at a point when <u>extended,</u> thus would not be <u>parallel</u> to the given line.

Visit: brainly.com/question/17967521

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Could someone help me understand this?
larisa86 [58]

Answer:

8 < x < 40

Step-by-step explanation:

x − 8 must be more than 0, but it can't be greater than 32.

0 < x − 8 < 32

8 < x < 40

A more precise answer would require law of cosines and calculus.

5 0
4 years ago
Angela uses a scanner to make a reduced-size (smaller) copy of a rectangular photo that is 8 inches long and 4 inches wide. The
svet-max [94.6K]

Answer:

The new width = 2 inches

Step-by-step explanation:

Original dimensions of the rectangular photo:

Length : width = 8 inches : 4 inches

Reduced dimensions of the rectangular photo:

Let

x = the new width

Length : width = 4 inches : x inches

Equate both dimensions to get the value of x

Length : width

8 inches : 4 inches = 4 inches : x inches

8 / 4 = 4 / x

Cross product

8 * x = 4 * 4

8x = 16

x = 16/8

x = 2 inches

The new width = 2 inches

6 0
3 years ago
Quadrilateral PUMA has coordinates at P(-5,-2), U(-1,2), M(4,-3), A(0,-7) and it is transformed by (x+3,y-5). Determined the ima
IgorLugansk [536]

The image of M is (7 , -8)

Step-by-step explanation:

Let us revise some transformation

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

∵ The quadrilateral PUMA has coordinates at:

   P (-5 , -2) , U (-1 , 2) , M (4 , -3) , A (0 , -7)

∵ It is transformed by (x + 3 , y - 5)

- That means the quadrilateral translated 3 units right and 5 units

   down, then we add each x-coordinate by 3 and subtract 5 from

   each y-coordinate

∵ The coordinates of point M are (4 , -3)

∴ The image of point M = (4 + 3 , -3 - 5)

∴ The image of point M = (7 , -8)

The image of M is (7 , -8)

Learn more:

You can learn more about transformation in brainly.com/question/5563823

brainly.com/question/11203617

*LearnwithBrainly

8 0
3 years ago
The number of eggs in the refrigerator e decreased by 5 equals 18
AnnZ [28]

Answer:

e=23

Step-by-step explanation:

The equation representing this scenario is e-5=18.

Add 5 to both sides and you get e=23 (eggs)

7 0
3 years ago
A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Ro
Wittaler [7]

The sides of the box are 12in by 12in by 30in.

The interior diagonal =[12^2+12^2+30^2]0.5

=[144+144+900]^0.5

=1188^0.5

The final answer is 34.47in.

My deepest apology if this is not what you meant.

= 34.47in.

3 0
4 years ago
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