( a )pairs of vertical angles :
AGB and EGD
Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal in magnitude.
( b ) a pair of adjacent angles :
AGB and BGC
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
(c) Name a pair if supplementary angles :
AGB and BGD
Two angles are called supplementary when their measures add up to 180 degrees.
(d) A pair of complementary angles :
AGF and FGE
Two angles are called complementary when their measures add to 90 degrees.
(e) Find measure of CGD :
( look into the photo attached for better understanding)
CGD = 55°
<em>hope this helps :)</em>
Answer:
-4
Step-by-step explanation:
The average rate of change of the interval [a,b] is (f(b)−f(a)) / (b−a)
Replacing a=−5, b=4, f(x)=−x^2−5x+12.
(f(b)−f(a))/(b−a) =12−5x4− 4^2 − (12−5 x(−5)−(−5)^2)/ (4−(−5))= −4.
You have to graph the points they are asking for it. Create the histogram..
Answer: 
Step-by-step explanation:
You need to remember:
1. The Product of powers property: 
2. The Power of a power property: 
In this case, given:
You need to follow these steps in order to simplify it:
1. Apply the Product of powers property:
2. Apply the Power of a power property:
3. Finally, since 
and 
, you get:
Answer:
(8, 11 )
Step-by-step explanation:
Given the 2 equations
2x + 2y = 38 → (1)
y = x + 3 → (2)
Substitute y = x + 3 into (1)
2x + 2(x + 3) = 38 ← distribute and simplify left side
2x + 2x + 6 = 38
4x + 6 = 38 ( subtract 6 from both sides )
4x = 32 ( divide both sides by 4 )
x = 8
Substitute x = 8 into (2) for corresponding value of y
y = 8 + 3 = 11
Solution is (8, 11 )
