A. a=145 b=35 c=145 d=145 e=35 f=145 g=35
b. These are the pairs of vertical angles: a & c, b & 35, d & f, e & g.
Hope this was helpful.
Answer:
6, 8, 10
Step-by-step explanation:
x y and z are three consecutive even numbers
it means that you can write y = x + 2
and z = y + 2 = x + 4
so


so the solutions are
x = 6
y = 8
x = 10
Answer:

Step-by-step explanation:
Given
The attached rhombus
Required
The area
First, calculate the length of half the vertical diagonal (x).
Length x is represented as the adjacent to 60 degrees
So, we have:

Solve for x


So:


At this point, we have established that the rhombus is made up 4 triangles of the following dimensions


So, the area of the rhombus is 4 times the area of 1 triangle




Think of imaginary numbers on a complex plane as coordinates - take the real part, that's the x coordinate, the imaginary part that's the y coordinate.
Therefore, for the first blank, -1+3i lies in the shaded area, because its coordinates are (-1,3).
And following on from that for the second one, -4i does not lie in the shaded area, since its coordinates are (0,-4).
Tl;dr is taking a complex number a+bi and placing it on a complex plane, it will have coordinates (a,b)
They are vertical angles, thus they are equal to each other:
5x + 12 = 6x - 10
22 = x
x = 22