Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange - 3x + 4y = 5 into this form
Add 3x to both sides
4y = 3x + 5 ( divide all terms by 4 )
y = x + ← in slope- intercept form
with slope m =
• Parallel lines have equal slopes, thus
y = x + c ← is the partial equation of the parallel line
To find c substitute (2. 1) into the partial equation
1 = + c ⇒ c = -
y = x - ← equation of parallel line
Answer: 8π square meters
Explanation:
First, we convert the angle of the sector to radians, which is 30 degrees.
Note that 180 degrees is equal to π radians. Since 30 degrees is equal to 180 degrees divided by 6,
30 degrees = π/6 radians
Thus, the angle of the sector in radians is π/6.
So, the area of the sector is given by
(Area of sector) = (1/2)(radius)²(angle of the sector in radians)
= (1/2)(radius)²(π/6)
= (π/12)(radius)²
= (1/12)(π)(radius)²
Note that
(Area of the circle) = (π)(radius)² = 96π
Therefore, the area of the 30-degree sector is given by
(Area of the sector) = (1/12)(π)(radius)²
= (1/12)(Area of the circle)
= (1/12)(96π)
(Area of the sector) = 8π square meters
Step-by-step explanation:
when a line intersects with 2 (or more) parallel lines. then, of course, the intersection angle is the same with every of the intersected lines. otherwise they would not be parallel.
so,
7x - 10 = 60
7x = 70
x = 10
Answer:I’m not sure maybe the 2nd one!:))Mahelps a lot!!
Answer:
m∠A ≈ 43°
m∠B ≈ 55°
mBC ≈ 20
Step-by-step explanation:
Law of Sines:
Step 1: Find m∠B
Step 2: Solve for ∠B
29sinB = 24sin82°
sinB = 24sin82°/29
B = sin⁻¹(24sin82°/29)
B = 55.038°
Step 3: Find m∠A
180 - (55.038 + 82)
180 - 137.038
m∠A = 42.962°
Step 4: Find BC
Step 5: Solve for BC
29sin42.962° = BCsin82°
BC = 29sin42.962°/sin82°
BC = 19.9581