Answer:
45, 60, 75
Step-by-step explanation:
The ratio of the angles are 6:8:10
Multiply by x to get the angle measures
6x, 8x,10x
We know the sum of the angles is 180 for a triangle
6x+8x+10x = 180
Combine like terms
24x = 180
Divide each side by 24
24x/24 = 180/24
x =7.5
Each angle is
6x = 6(7.5) =45
8x = 8(7.5) =60
10x = 10*7.5 = 75
The formula for arc length is S = ∅*r.
Where S is the arc length, ∅ is the angle measure in radians, and r is the radius of the circle.
S = *1
S =
slope-point form:
we need the slope (m) and a point.
y-y₀=m(x-x₀)
Given two point A(x₁,y₂) and B(x₂,y₂), the slope of the line is :
m=(y₂-y₁) /(x₂-x₁)
Example 3:
we can take two points:
A(12,2)
B(13,7)
m=(7-2) / (13-12)=5/1=5
therefore:
y-2=5(x-12)
y-2=5x-60
y=5x-60+2
y=5x-58
answer: y=5x-58
Example 4:
we can take two points.
A(0,0)
B(3,1)
m=(1-0)/(3-0)=1/3
Therefore:
y-0=1/3(x-0)
y=x/3
answer: y=x/3
n, n + 2, n + 4, n + 6 - four consecutive odd integers
-72 - the sum
The equation:
n + (n + 2) + (n + 4) + (n + 6) = -72
n + n + 2 + n + 4 + n + 6 = -72
4n + 12 = -72 |subtract 12 from both sides
4n = -84 |divide both sides by 4
n = -21
n + 2 = -21 + 2 = -19
n + 4 = -21 + 4 = -17
n + 6 = -21 + 6 = -15
Answer: -21, -19, -17, -15.
Answer:
5/4 as a mixed number = 1
