Answer:
b
Step-by-step explanation:
Angle A = x + 22°.
Angle B = x.
And since the angles are complementary:
A + B = 90°
x + 22° + x = 90°
2 x + 22° = 90°
2 x = 90° - 22°
2 x = 68°
x = 68° : 2
x = 34°
Angle A = 56°, angle B = 34°
Answer : The value of x is A ) 34°.
A population of deer had 200 individuals and 15% were lost in one year. We can calculate the number of deer that were lost with proportion:
200 deer ------------------------100%
x deer ------------------------ 15%
-----------------------------------------------
200 : x = 100 : 15
200 * 15 = 100 x
3,000 = 100 x
x = 3,000 : 100
x = 30
Answer: 30 deer were lost in one year.
3 + 6 + 9 + 12 + ... + 999
<span>= 3(1 + 2 + 3 + 4 + ... + 333) </span>
<span>= 3(Summation of r from 1 to 333) </span>
<span>= 3((1 + 333)(333/2)) </span>
<span>= 3(334)(333/2) </span>
<span>= 3(167)(333) </span>
<span>= 166833 </span>
<span>Edit: Opps, I forgot that you ask about an equation. </span>
<span>The sum of 1 + 2 + 3 + 4 + ... + n, where n is some integer, is: </span>
<span>(First term + Last term) multiplied by (Total number of terms / 2) </span>
<span>= (1 + n)(n / 2)</span>