Answer:
x = 27
Step-by-step explanation:
AC // DE
m∠ABD ≅ m∠BDE = 72°
m∠ADB + m∠BDE + m∠EDF = 180°
2x + 72° + 2x = 180°
4x = 108°
x = 27°
The inequality for the maximum number of bottles of juice she can buy
6.13+ 2.08b <20.00
Option B
Given
Melissa has $20 to buy bagels and juice for her class
Box of bagels : 6.13 including tax
Bottle of juice: 2.08 including tax
She will buy only one box of bagels that is for 6.13
Let 'b' be the number of bottles of juice she can buy
Total cost should be less than 20 dollars
6.13(one bagels) +2.08(bottles of juices)<20
So the inequality becomes

Learn more : brainly.com/question/1836165
In triangle ABC, angle B is 90° and angle A is 45° => triangle ABC is Isosceles triangle. That means side AB = BC
Also, side AC² = AB² + BC² = 2BC²
(6√2)² = 2BC² => 36*2
BC = 6
In triangle BCD, angle D is 90° and angle B is 60° => triangle BCD is semi Equilateral triangle. That means side BD = ½BC = 6/2 = 3 which is the value of X.
Good luck
The angle does not matter. Think of it as finding the other side to a triangle. Use

a=39 (line AB)
b=b (the leg we need to find)
c=89 (line BD)


(subtract the 1521 from both sides)

(square root both sides)

b = 80
AD=80
<span>4ab + 4a − 3b − 3
=4a(b + 1) - 3(b+1)
= (b+1)(4a - 3)
(b+1) and (4a - 3) are factors
answer
</span><span>4a − 3</span>