Answer:
x ≥-10
Step-by-step explanation:
–2.5x ≤ 25
Divide each side by -2.5, remembering to flip the inequality
–2.5x/-2.5 ≥ 25 /-2.5
x ≥-10
m∠MON = 130°
Solution:
Given m∠LON is a straight angle
m∠LOM = 4x + 30°, m∠MON = 8x + 90°
⇒ m∠LON = 180°
⇒ m∠LOM + m∠MON = 180°
⇒ 4x + 30° + 8x + 90° = 180°
Combine like terms together.
⇒ 4x + 8x + 30° + 90° = 180°
⇒ 12x + 120° = 180°
Subtract 120° on both sides of the equation.
⇒ 12x + 120° – 120° = 180° – 120°
⇒ 12x = 60°
Divide by 5 on both sides of the equation.
⇒ x = 5°
Substitute x = 5° in m∠MON.
⇒ m∠MON = 8x + 90°
= 8(5°) + 90°
= 40° + 90°
= 130°
Hence m∠MON = 130°.
Answer:
The volume of the cube is 64mm³
Step-by-step explanation:
To calculate the volume of a cube we have to use the following formula:
v = volume
s = side = 4mm
v = s * s * s
we replace the values that we know
v = 4mm * 4mm * 4mm
v = 64mm³
The volume of the cube is 64mm³