Answer:
13 + 3i
Step-by-step explanation:
Given
(8 - i) + (5 + 4i) ← remove the parenthesis
= 8 - i + 5 + 4i ← collect like terms
= 13 + 3i
Answer:
A
Step-by-step explanation:
The measure of angle D can be found using the Interior Angle Sum of a Triangle.
The angles of a triangle add to 180. This means:
90 + 21 + x = 180.
111 + x = 180
x = 69
The solution is A.
Angle B is smaller than Angle D which means CD will be smaller than BC.
<h2><em>
The area of the pyramid net is 12 units</em></h2>
Step 1
Find the area of the Square in the middle
Formula for finding square:
![A = L*W](https://tex.z-dn.net/?f=A%20%3D%20L%2AW)
Let's apply the formula and find our answer:
![A = 2*2\\=4](https://tex.z-dn.net/?f=A%20%3D%202%2A2%5C%5C%3D4)
<em>The area of the square is 4 units</em>
<em></em>
Step 2
Find the area of all 4 triangles around the square
As you know, the formula for finding 1 triangle is as follows:
![A = \frac{1}{2} *B*H](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2AB%2AH)
But, to find the area of 2 triangles, we can use this formula:
![A=B*H](https://tex.z-dn.net/?f=A%3DB%2AH)
And to find 4 of them (with same dimensions;as required here), we can use this one:
![A=2*B*H](https://tex.z-dn.net/?f=A%3D2%2AB%2AH)
Let's apply the formula then! What are we waiting for!!!!
![A=2*2*2\\=2*4\\=8](https://tex.z-dn.net/?f=A%3D2%2A2%2A2%5C%5C%3D2%2A4%5C%5C%3D8)
<em></em>
<em>The area of ALL of the triangles around the square is 8 units</em>
<em></em>
Step 3
Add all areas to find FINAL ANSWER!
Easy!
4+8=12
<h2><em>
The area of the Pyramid Net is 12 units</em></h2>
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and you can simply solve that for "x"