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schepotkina [342]
3 years ago
8

Through a point not on a line, one and only one line can be drawn parallel to the given line. always sometimes never 10. Two cop

lanar lines that are perpendicular to the same line are parallel. always sometimes never
Mathematics
2 answers:
stealth61 [152]3 years ago
7 0

The parallel postulate: In a <u>plane</u> there can be drawn through any point A, lying <u>outside</u> of a straight line a, one and only one straight line which does not <u>intersect</u> the line a. This straight line is called the <u>parallel </u>to a through the given point A.

Therefore, first statement is always true.

Coplanar lines are lines that lie on the same plane.

Theorem: If two <u>coplanar</u> lines are <u>perpendicular</u> to the same  line, then the two lines are parallel to each other.

Therefore, second statement is always true.

Vlada [557]3 years ago
7 0

Answer:

1st question: always

2nd question: always

Step-by-step explanation:

1st question

Given a line and a point which is not on that line, there is only one new line parallel to the old line which pass through the point. That is, there are infinity new lines parallel to the old line, but only one of them pass through the given point.

2nd question

If two coplanar lines are parallel and intercept a third line, then the same angle is formed in the interception between each parallel line and the third line. In this case a 90° angle is formed and each parallel line is perpendicular with the third line.

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lutik1710 [3]

Answer:

WX = 8 mm

Step-by-step explanation:

To be able to solve for WX, we need to first find the size of angle \angle z.

We use the law of sines in the blue triangle to do such:

\frac{sin(z)}{11} =\frac{sin(133)}{20} \\sin(z)=\frac{11\,sin(133)}{20} \\sin(z)=0.4022

Now we can use this value in the larger right angle triangle where WX is the opposite side to angle  \angle z, and the 20 mm side is the hypotenuse:

sin(z)=\frac{opposite}{hypotenuse} \\sin(z)=\frac{WX}{20}\\0.4022=\frac{WX}{20}\\WX=20\,(0.4022)\\WX=8.044\,\,mm

which rounded to the nearest integer gives

WX = 8 mm

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