Answer:
Yes triangle ABC and DEF are similar.
Step-by-step explanation:
One rule of triangles is that all the angles in a triangle will add up to 180 degrees.
Now, first, you will figure out the remaining angle in triangle ABC.
- Add up 35 and 20. (35 + 20 =55)
- Subtract 55 from 180 (180-55= 125)
- When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.
Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.
- 125 + 35 = 160
- 180-160= 20
The remaining angle is 20 degrees
As you can see, triangle ABC shares the same angles as triangle DEF.
This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.
You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity
I hope this explanation helped and have a good day!
Answer:
The correct answer is (-9, 6) on Edge, the first option
Step-by-step explanation:
This is a problem of doubling time, the general formula for doubling time is
N = A(2)^( t /d)
where N is the future wind generating capacity in thousand MW
A is the initial wind generating capacity which is 95,000 MW
d is the time it will double, which is 3 years
t is the time in the future in years
N = 95(2)^( t / 3) is the formula for t<span>he continuous growth rate and give a formula for wind generating capacity W W (in thousand megawatts) as a function of t t , the number of years in the future</span>