The age difference between Diane and Amy remains the same. 6 year later, the age difference is still 23 years old.
6 years later,
Amy is 23 years old
Diane is 46 years old
Now,
Amy, 17 years old
Diane, 40 years old.
Answer:
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
Step-by-step explanation:
6x² - 2x = 7
6x² - 2x - 7 = 0
Formula
ax² + bx + c = 0
a = 6 ; b = - 2 ; c = - 7
x₁/₂ = [-b ± √(b²- 4ac)]/2a
x₁/₂ = (2 ± √4 + 4×6×-7)/12
x₁/₂ = (2 ± √172)/12
x₁/₂ = (2 ± 2√43)/12
x₁/₂ = 2(1 ± √43)/12
x₁/₂ = (1 ± √43)/6
x₁ = (1 + √43)/6
x₂ = (1 - √43)/6
Answer: b = 69
The slashes mean the opposite angles are the same. This is and isosceles triangle, which mean two sides are the same and one is not.
A triangle = 180
We know one angle is 42 and the other two angles are the same.
Subtract 42 from 180
180 - 42 = 138
Now the 138 is going to two sides but we know they are equal so we can divide 138 by 2
138 divided by 2 = 69
So b = 69