Answer:
The lines are perpendicular
Step-by-step explanation:
we have
isolate the variable y
----> equation A
The slope of the line A is 
-----> equation B
The slope of the line B is 
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
In this problem
The slopes of line A and line B are opposite reciprocal
therefore
The lines are perpendicular
Answer: Answer
Step-by-step explanation: What do you mean by simplify?
Answer:
12cm.
Step-by-step explanation:
The radius is half of a circe.
6 * 2 = 12.
Answer:
The measure of angle R is 99° ⇒ Last answer
Step-by-step explanation:
In similar triangles
- Corresponding angles are equal in measures
- Corresponding sides are proportion
∵ Δ MNO is similar to Δ PRQ
∴ m∠M = m∠P
∴ m∠N = m∠R
∴ m∠O = m∠Q
In Δ MNO
∵ m∠M = 23°
∵ m∠O = 58°
- The sum of the measures of the interior angles of a Δ is 180°
∵ m∠M + m∠N + m∠O = 180°
∴ 23 + m∠N + 58 = 180
- Add the like terms in the left hand side
∴ 81 + m∠N = 180
- Subtract 81 from both sides
∴ m∠N = 99°
∵ m∠R = m∠N ⇒ proved up
∴ m∠R = 99°
You start with 24, there are 8 added, there are 12 taken away, then 9 are taken away. The equation looks like:
24 + 8 - 12 - 9 = <u>11</u>
