Answer:
<em>x = 49°</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
The sum of the internal angles in any triangle adds up to 180°.
The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.
The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:
43° + 39° + 2x = 180°
Operating:
82° + 2x = 180°
Subtracting 82°:
2x = 180° - 82° = 98°
x = 98°/2 = 49°
x = 49°
Given:
The given arithmetic sequence is:
To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,
Here, the first term is -3. So, 
.
The common difference is:
The recursive formula of an arithmetic sequence is:
Where, d is the common difference.
Putting , we get
Therefore, the recursive formula of the given arithmetic sequence is , where .
Answer:
Step-by-step explanation:
-1
284=2x+2(x+40)
284=4x+80
204=4x
51=x
dimensions 51 ft by 91ft
Answer:
D (-6, -34)
Step-by-step explanation:
y = 5x - 4
Let x = -6
y = 5(-6) - 4
=-30 -4
= -34
x = -6, y= -34
