Answer:
Arithmetic Sequence:
d=4
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)
Angle D is equal to Angle B because AB and DE are parallel to each other.
AD is a straight line so the (2) 2x angles and 72 degrees need to equal 180.
Setting up the equation you have:
2x + 2x + 72 = 180
Simplify:
4x + 72 = 180
Subtract 72 from each side:
4x = 108
Divide both sides by 4:
x = 108 / 4
x = 27
Answer:
A=78
B=102
C=78
Step-by-step explanation:
A= a and 102 are on a straight line so they add up to 180. 180-102=78. The same goes for C
B= the vertical angle for 102, or the same thing with a and c, just flipped around
