MATHEMATICS HIGH SCHOOL

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 coplanar lines that are perpendicular to the same line are parallel. always sometimes never

Answers

Answer 1
Answer:

The parallel postulate: In a plane there can be drawn through any point A, lying outside of a straight line a, one and only one straight line which does not intersect the line a. This straight line is called the parallel 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 coplanar lines are perpendicular to the same  line, then the two lines are parallel to each other.

Therefore, second statement is always true.
Answer 2
Answer:

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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What’s #10 I need it worked out not just the answer.

NEED HELP: What is the solution to 3(2x – 4) + 2(x + 7) = 6

Answers

Answer:

1/2

Step-by-step explanation:

  • 3(2x – 4) + 2(x + 7) = 6
  • 6x-12+2x+14=6
  • 8x+2=6
  • 8x=4
  • x=4/8
  • x=1/2
The answer is 1/2 I used my ti- calculator

The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x
f(x) = 90(1.013)x
f(x) = 91.2(2.2)x
f(x) = 90(2.2)x

Answers

Given:
year 0 - 2005 : 90,000
year 1 - 2006 : 91,200

91,200 - 90,000 = 1,200
1,200 / 90,000 = 0.013

90,000 (1+0.013)^1 ⇒ 90,000 (1.013)^1 =  91,170 OR 91,200

The best representation of the relationship between x and f(x) is choice 2.
f(x) = 90(1.013)x

Erica makes 4,840$ monthly. What is the maximum loan she can take out on a house?

Answers

The maximum loan she can take out on a house is $174,240

Kelly decides to pour her punch into 1 quart containers to fit into her refrigerator until the party starts.she has four 1 quart containers.willall of her punch fit into the comtainers?

Answers

It depends how much punch she has. We don't know how many jars she will need if we don't know how much liquid there actually is.

A master plan is devised for

Answers

A master plan is devised for long-range goals. A master plan is intended to serve as aguide for the development of the entities (companies, corporations, governmental offices) for at least 10 years and frequently more (may be 20 years). Usually, of course, master plans deal with growing vision in some sense: more production or more service provision. The long-term goals are will be transformed into short-terms objectives that must be addressed step-by-step to approach to the long-term goals.

Literal equation
R=R1+R2 for R2

Answers

so
R=R1+R2
subtract R1 from both sides
R-R1=R2
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