Answer:
x=1 and y=-2
Step-by-step explanation:
5-2i-7=-2-2i
x-(3-yi)=x-3+yi
we write this equation -2 - 2i = (x-3) +yi
so -2=x-3 and -2i=yi
+3 +3 :i :i
1=x -2= y
so x=1 and y= -2
Step-by-step explanation:
Number of sides of the given polygon, n =5
Sum of interior angles =( n-2)180°
=( 5 - 2)180°
= 3*180°
= 540°
Missing angle, x = 540°- (100°+105°+110°+145°)
= 540°- 460°
= 80°
Answer:
h = 9.87 cm
Step-by-step explanation:
Given that,
Base, b = 8 cm
Height = h
Angle, 
We need to find the value of h. We can use trigonometry to find h.

So, the height of the triangle is 9.87 cm.
Answer:
g(7) = 16
Step-by-step explanation:
When evaluating piecewise-defined functions, the first step is to determine which domain the value of the independent variable falls into. Then the associated function is evaluated in the usual way.
__
For x=7, the applicable domain is (2, ∞). This means the applicable function is ...
g(x) = (x +1)(x -5)
For x=7, this is ...
g(7) = (7 +1)(7 -5) = (8)(2)
g(7) = 16
Each person received one quarter, which can be written as 1/4 or 0.25.