Answer:
(x - 2) • (4x + 1)
Step-by-step explanation:
Answer: A.Subtract 9 from both sides
Step-by-step explanation:
Answer A: Subtract 9 from both sides
Explanation: You want to solve the x from this equation, then the first thing is to put the number that has no valiable x to the other sides, so in this equations, we want to move 9 to the right side, so we subtract 9 from both sides.
The possible values of the third angle are from 18° to 20°
Step-by-step explanation:
The sum of the measures of the angles in any triangle is 180°
The given is:
1. α and β are two angles of a triangle
2. 58° ≤ α ≤ 59°
3. 102° ≤ β ≤ 103°
Assume that the third angle is Ф
∵ α + β + Ф = 180°
- Subtract α + β from both sides
∴ Ф = 180 - (α + β) ⇒ (1)
∵ 58° ≤ α ≤ 59°
∵ 102° ≤ β ≤ 103°
- Add the two inequalities
∴ 160° ≤ α + β ≤ 162°
- By substituting α + B = 160 in equation 1
∴ Ф = 180 - 160
∴ Ф = 20°
- By substituting α + B = 162 in equation 1
∴ Ф = 180 - 162
∴ Ф = 18°
- Put Ф in the form of inequality
∴ 18° ≤ Ф ≤ 20°
The possible values of the third angle are from 18° to 20°
Learn more:
You can learn more about triangle in brainly.com/question/3617539
#LearnwithBrainly
Answer:
3 and 2
Step-by-step explanation:
The ratio of the 2 numbers = 3 : 2 = 3x : 2x ( x is a multiple )
When 5 is subtracted from both , that is
3x - 5 : 2x - 5 = 2 : 3
Expressing the ratio in fractional form
= 
( cross- multiply )
3(3x - 5) = 2(2x - 5) ← distribute both sides
9x - 15 = 4x - 10 ( subtract 4x from both sides )
5x - 15 = - 10 ( add 15 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Thus the 2 numbers are
3x = 3(1) = 3 and 2x = 2(1) = 2
