Answer:
60°
Step-by-step explanation:
This questions tests our knowledge on arcs and arc measures.
-Arc measure is the angle that an arc makes with the circle's center.
-The arc measure is proportional to the arc.
#The sum of the 3 arcs is x+2x+3x=6x
Given a circle has 360°, the arc measurement x can be calculated as:
Hence, the arc measurement x is 60°
Answer:
y = -⅔x + ²²/₃
Step-by-step explanation:
1. Calculate the slope of EF
Assume E is at (-2, 5) and F is at (1, 3).
m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔
2. Calculate the slope of the parallel line
m₂ = m₁ = -⅔
3. Calculate its y-intercept
y = mx + b
6 =-⅔(2) + b
Simplify
6 = -⁴/₃ + b
Add ⁴/₃ to each side
b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃
The y-intercept is at (0,²²/₃).
4. Write the equation for the line
y = -⅔x + ²²/₃
The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).
Move all the x's to one side of the equation. This is a step necessary to solve this equation.
Subtract both sides by x.
Flip equation. We always want to have the variable written on the left side.
Subtract both sides by 26.
Divide both sides by 4 to finish this off.
That's your answer. Have an awesome day! :)
Answer:
x>7
Step-by-step explanation:
We do 2 steps
2x > x + 7
that means
2x - x > x - x + 7
then
x > 7
That is the answer. Hope it useful for you!
The submarine's new position is 240 feet below sea level.