Answer:
x = 70; the labeled angles are 110º and 70º.
Step-by-step explanation:
The full degrees will add up to 180º. There are 2x and +40.
Equation:
Solve:
Since x=70, 70+40 will equal to 110.
Therefore, "x = 70; the labeled angles are 110º and 70º." is correct.
Answer:
The equation relates the variables is y = 8x ⇒ D
Step-by-step explanation:
If x and y vary directly (y ∝ x), then y = k x, where
∵ The variable x and y vary directly
∴ y ∝ x
→ By using the rule above
∴ y = k x
∵ y = 40 when x = 5
∴ The initial values of x and y are x = 5 and y = 40
→ Substitute them in the equation above to find k
∵ 40 = k(5)
∴ 40 = 5k
→ Divide both sides by 5
∵ =
∴ 8 = k
→ Substitute the value of k in the equation above
∴ y = 8x
∴ The equation relates the variables is y = 8x
Answer:
x ≤
Step-by-step explanation:
Given
- 2 ≤
Multiply through by 6 to clear the fractions
2(x - 1) - 12 ≤ 5 - 2x ← distribute and simplify left side
2x - 2 - 12 ≤ 5 - 2x
2x - 14 ≤ 5 - 2x ( add 2x to both sides )
4x - 14 ≤ 5 ( add 14 to both sides )
4x ≤ 19 ( divide both sides by 4 )
x ≤