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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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Answer:

B. 7.3 %

Step-by-step explanation:

Given:

Initial average grade = 82

Final average grade = 88

Duration for the increase = 3 weeks

Therefore, increase in average grade = Final - Initial = 88 - 82 = 6

Now, percent increase in average grade is given as:

\% \textrm{increase}=\frac{\textrm{Increase}}{\textrm{Initial grade}}\times 100\\\% \textrm{increase}=\frac{6}{82}\times 100\\\% \textrm{increase}=\frac{600}{82}=7.3\%

Therefore, the percent increase in her  average grade over the 3-week  period is 7.3 %.

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What does 1/4 equal in fraction form ?
Tom [10]
What do u want me to do?
They are in Fraction form

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zhenek [66]

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Step-by-step explanation:

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2 years ago
PLEASE HELP 50POINTS!!!!! <br><br> Can you always use synthetic division for dividing polynomials?
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Answer:

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Graded Assignment Unit Test, Part 2: Basic Geometric Shapes Answer the questions below. When you are finished, submit this assig
AfilCa [17]

Answer:

In case (a) car makes 105° turn.

In case (b) car makes 75° turn.

In case (c) car makes 105° turn.

Step-by-step explanation:

Figure is redrawn To explain properly (in attachment)

Given : streets are parallel means \overline{AB} ║ \overline{CD},

             AB - 4th street , CD - 3rd street and XY - King Ave.

            ∠XLA = 75°

To find : (a) ∠XLB

              (b) ∠LMD (left onto 3rd streat means left of car)

              (c) ∠YMD (right means right side of car)

∠XLB + ∠XLA = 180° (Linear Pair = 2 adjacent angles are  

                                     supplementary)

∠XLB + 75° = 180°

∠XLB  = 180 - 75

∠XLB = 105°

∴ In case (a) car makes 105° turn.

∠LMD = ∠XLA = 75° (Corresponding angles of parallel lines are equal)

∠LMD = 75°

∴ In case (b) car makes 75° turn.

∠YMD + ∠LMD = 180° (Linear Pair = 2 adjacent angles are

                                       supplementary)

∠YMD + 75° = 180°

∠YMD = 180 - 75

∠YMD = 105°

∴In case (c) car makes 105° turn.

8 0
3 years ago
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