one angle is 3x-3
another angle is 6(x-10)
Both angles are vertically opposite angles
Vertically opposite angles are always equal
So we equation both the angles and solve for x
3x - 3= 6(x-10)
3x - 3 = 6x - 60
Subtract 6x from both sides
-3x - 3 = -60
Add 3 on both sides
-3x = -57
Divide by 3
x = 19
The value of x= 19
Answer : The Euclidean geometry is a mathematical system that is attributed to Alexandrian Greek mathematician Euclid. He described mostly about the Elements in geometry. The method consisted of assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.
The five basic postulates of euclidean geometry are as follows;
- A straight line may be drawn between any two points.
- A piece of straight line may be extended indefinitely.
- A circle may be drawn with any given radius and an arbitrary center.
- All right angles are equal.
- If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles.
Answer:
about 70 years
Step-by-step explanation:
Life expectancy (e) improves by 5.7 years every 10 years, so 5.7/10 = 0.57 years per year. For t years after 2009, it can be modeled by ...
e = 0.57t +80
We want to find when that is 120:
120 = 0.57t +80
40 = 0.57t
40/0.57 = t ≈ 70.2
About 70 years from 2009, humanity may achieve a life expectancy of 120 years.
