Answer:
both rational and irational
Step-by-step explanation:
Solution
cos (90-60)=cos (x+10)
⇒30=x+10
x=30-10
x=20.
Answer:
The measure of angle LMN is 68° ⇒ the last answer
Step-by-step explanation:
* Lets revise the properties of the rhombus
- The rhombus has 4 equal sides in length
- Every two opposite angles are equal in measure
- Every two adjacent angles are supplementary (their sum = 180°)
- The two diagonals bisect each other
- The two diagonals perpendicular to each other
- The two diagonals bisect the vertices angles
* Lets solve the problem
∵ LMNO is a rhombus
∴ ∠LMN and ∠MNO are adjacent angles
∴ ∠LMN and ∠MNO are supplementary
∴ m∠LMN + ∠MNO = 180°
∵ m∠MNO = 112°
∴ m∠LMN + 112° = 180° ⇒ subtract 112 from both sides
∴ m∠LMN = 68°
* The measure of angle LMN is 68°
Answer:
x ≤ - 2
Step-by-step explanation:
Given the inequality :
3x+5≤−1
Subtract 5 from both sides
3x + 5 - 5 ≤ - 1 - 5
3x ≤ - 6
Divide both sides by 3
3x/3 ≤ - 6/3
x ≤ - 2
Mr.Choe's error was that he changed the inequality sign. The inequality sign in this case does not need to be changed.