Answer:
1) y = 1/2 x + 3 and y = 1/2 x are parallel
2) y = 1/2 x + 4 and y = 1/2 x + 1 are parallel
Step-by-step explanation:
Two lines are parallel only if their slope is equal.
1)
In the first problem:
y = 1/2 x + 3 and y = 1/2 x have same slope ( i.e slope = 1/2)
That means these two equations are parallel to each other.
2)
In the second problem:
y = 1/2 x + 4 and y = 1/2 x + 1 have same slope( i.e slope = 1/2)
Hence above two equations are parallel to each other.
Answer:
108°
Step-by-step explanation:
The area of a sector is given by the formula ...
A = (1/2)r²θ . . . . . where θ is in radians
Solving for θ, we find ...
θ = 2A/r²
For your given sector, the central angle is ...
θ = 2(30π cm²)/(10 cm)² = 0.6π . . . . radians
π radians is 180°, so the central angle in degrees is ...
θ = (0.6)(180°) = 108°
The central angle measure of the sector is 108°.
168 ounces are in 10 1/2 pound
Answer: 98
Step-by-step explanation: you want to calculate the exponent first, so you use 7 * 7 = 49. Then, you use 49 * 2 = 98.
