Answer:
FE = 30°
Step-by-step explanation:
arc FGC = arc FG + arc GB + arc BC
220° = 90° + arc GB + 70° . . substitute known values
60° = arc GB . . . . . . . . . . . . . subtract 160°
__
External angle A is half the difference of arcs EG and GB:
30° = (1/2)(arc FE +90° -60°) . . . substitute known values
60° = arc FE + 30° . . . . . . . . . . . multiply by 2 and simplify
30° = arc FE . . . . . . subtract 30°
_____
The key to this problem is the relationship between external angle A and the measures of the arcs it subtends.
Answer:
C
Step-by-step explanation:
When the bases are the same, you can combine the exponents.
x³ [x is where the base is]
For example:
x³ · y² = x³y² You can't simplify this anymore because they have different bases/variables
[when you multiply a variable with an exponent by a variable with an exponent, you add the exponents together] so:
x² · x³ = 
[when you multiply a variable with an exponent by an exponent, you multiply the exponents together] so:
(x³)²=
Answer:
d. 3x - 1.
Step-by-step explanation:
45x^4−5x^2
The GCF is 5x^2 so we have:
5x^2(9x^2 - 1)
The expression in the parentheses is the difference of 2 squares so:
= 5x^2(3x - 1)(3x + 1)
24.021568 ounces are in the bag of trail mix.
