Although the number of new wildflowers is decreasing, the total number of flowers is increasing every year (assuming flowers aren't dying or otherwise being removed). Every year, 25% of the number of new flowers from the previous year are added.
The sigma notation would be:
∑ (from n=1 to ∞) 4800 * (1/4)ⁿ , where n is the year.
Remember that this notation should give us the sum of all new flowers from year 1 to infinite, and the values of new flowers for each year should match those given in the table for years 1, 2, and 3
This means the total number of flowers equals:
Year 1: 4800 * 1/4 = 1200 ]
+
Year 2: 4800 * (1/4)² = 300
+
Year 3: 4800 * (1/4)³ = 75
+
Year 4: 4800 * (1/4)⁴ = 18.75 = ~19 (we can't have a part of a flower)
+
Year 5: 4800 * (1/4)⁵ = 4.68 = ~ 5
+
Year 6: 4800 * (1/4)⁶ = 1.17 = ~1
And so on. As you can see, it in the years that follow the number of flowers added approaches zero. Thus, we can approximate the infinite sum of new flowers using just Years 1-6:
1200 + 300 + 75 + 19 + 5 + 1 = 1,600
6:15:21
6:15:21= 2:5:7
<em>(when divided by 3)</em>
Your answer is 80. A triangle’s angles add up to 180 degrees. Therefore, you need to subtract 30 and 70 from 180 to find your answer: 180-(30+70)=80 or 180-70-30=80
Estimation: 500×7=3,500
Product: 503×7=3,521
Answer:
The correct answer is: 
by <em>rule</em> ASA rule of congruence.
Step-by-step explanation:
First let us prove by rule ASA (rule of congruence).
<u>Congruent side:</u>
(Given)
<u>Congruent angles:</u>
1. By definition of perpendicular,
Also,
Therefore,
or you can say,
2. Common angle between 
is 
In a nutshell, in 
,
(Angle)
(Side)
(Angle)
are congruent to the following angle, side and angle of 
:
(Angle)
(Side)
(Angle)
Therefore, by ASA rule of congruence, we can say .
<em>Since both triangles are congruent</em>, the sides 
and 
are also congruent.
