Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) what is the measure of angle AFE
we know that
The measure of the interior angle is the semisum of the arches that comprise it and its opposite.
<u>Note:</u> In this problem the correct measure of arc EA is 40 degrees (see the picture)
so
substitute the given values
Part 2) what is the measure of angle EFB?
we know that
---> by supplementary angles (form a linear pair)
so
substitute the given value
Answer:
Step-by-step explanation:
3x(5x+8y)=15x^2+24xy
4x(3x^2+5x-7)=12x^3+20x^2-28x
(3x+4y)(2x-7y)=6x^2+8xy-21xy-28y^2=6x^2-13xy-28y^2
(2-3a)(2a^2-3a+7)=4a^2-6a+14-6a^3+9a^2-21a=-6a^3+13a^2-27a+14
Answer:
pen = $1.20, pencil = $0.50
Step-by-step explanation:
let x = pen
let y = pencil
create system of equations:
3x + 6y = 6.60 [can be simplified to be x + 2y = 2.20]
5x + 8y = 10.00
substitution method:
x = 2.2 - 2y
5(2.2 - 2y) + 8y = 10
11 - 10y + 8y = 10
-2y = -1
y = 1/2
solve for 'x':
3x + 6(1/2) = 6.6
3x + 3 = 6.6
3x = 3.6
x = 1.2
Answer:
x = 34
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal if the lines parallel
2x+3 = 71
Subtract 3 from each side
2x+3-3 = 71-3
2x = 68
Divide by 2
2x/2 = 68/2
x = 34
