Need help on question 5 please help
1 answer:
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<u>Answer:</u>
Two co planar lines that are perpendicular to the same line are always PARALLEL. So option A is correct.
<u>Explanation:</u>
Given:
- Two lines are coplanar.
- They are perpendicular to the same line
To find:
whether they are parallel or not and choose the correct option from the given options.
Solution:
Now, we know that, slopes of perpendicular lines is -1
Then,
similarly
Now, as both lines are perpendicular to same line, then, we have to equate above both of them.
Then,
1st line slope = 2nd line slope
Here, slopes of two lines are equal.
Hence, Two coplanar lines that are perpendicular to the same line are always parallel. So option A is correct.
Answer:
Step-by-step explanation:
Given:
- AB = x + 4
- BC = 2x – 10
- AC = 2x + 1
We can illustrate this relationship as:
(2x + 1)
___↑___
| |
A — B — C
|____|___|
↓ ↓
(x + 4) (2x – 10)
_______________________________
When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.
Thus:
(x + 4) + (2x – 10) = (2x + 1)
[Regroup terms]
(x + 2x) + (4 – 10) = (2x + 1)
[Simplify]
(3x – 6) = (2x + 1)
[subtract 2x from both sides to isolate the variable]
(3x – 6) – 2x = (2x + 1) – 2x
[Regroup terms]
(3x – 2x) – 6 = (2x – 2x) + 1
x – 6 = 1
[Add 6 to both sides to isolate the constant]
x – 6 + 6 = 1 + 6
[Simplify]
x = 7