In 2000 Emily was 9 years old.
Given that in the year 2015 Emily was three times as old as Kaitlin while by the year 2021 Kaitlin will be half as old as Emily will be, to determine how old was Emily on the year 2000 the following calculation must be performed:
- 2015 = E = 3K
- 2021 = E = 2K
- 24 /// 8 --- 30 /// 14
- 18 /// 6 --- 24 /// 12
- 18/6 = 3
- 24/12 = 2
- 2015 = Emily was 24 years old
- 24 - (2015 - 2000) = X
- 24 - 15 = X
- 9 = X
Therefore, in 2000 Emily was 9 years old.
Learn more in brainly.com/question/20025195
Answer:
x=72 and the exterior angle is 154
Step-by-step explanation:
We will call the unknown angle in the triangle y. Angle y and the angle (2x +10) form a straight line so they make 180 degrees.
y + 2x+10 =180
Solve for y by subtracting 2x+10 from each side.
y + 2x+10 - (2x+10) =180 - (2x+10)
y = 180-2x-10
y = 170-2x
The three angles of a triangle add to 180 degrees
x+ y+ 82 = 180
x+ (170-2x)+82 = 180
Combine like terms
-x +252=180
Subtract 252 from each side
-x+252-252 = 180-252
-x = -72
Multiply each side by -1
-1*-x = -72*-1
x=72
The exterior angle is 2x+10. Substitute x=72 into the equation.
2(72)+10
144+10
154
Answer: C
Step-by-step explanation:
If (X + 8) is a factor of f(x), then to find the root, equate the factor to zero. That is,
X + 8 = 0
X = 0 - 8
X = -8
If -8 is substituted into f(x), the equation will tend to zero. That is,
F( -8 ) = 0
C is therefore the correct answer.
