--------------------------------------------------------------
Find x :
--------------------------------------------------------------
Sum of adjacent angles on a straight line is 180.

∠ABY + ∠YBC = 180
x + 25 + 2x + 50 = 180
3x + 75 = 180
3x = 105
x = 35

--------------------------------------------------------------
Check if AC is parallel to DF :
--------------------------------------------------------------
If AC is parallel to DF,
∠YBC = ∠BEF (Corresponding angles)

∠YBC = 2x + 50 = 2(35) + 50 = 120
∠BEF = 5x - 55 = 5(35) - 55 = 120

Since ∠YBC = ∠BEF, AC and DF are parallel.

---------------------------------------------------------------------------------------------
Answer: Since ∠YBC = ∠BEF, AC and DF are parallel.
---------------------------------------------------------------------------------------------

8 0

3 years ago

Read 2 more answers

Normally peaches are 30 cents each. Today peaches are on sale for 5 for $ 1. If you buy 15 peaches at the sale price, how much h

Aleks [24]

Answer:

Save $1.50

Step-by-step explanation:

1. Find the sale unit price by dividing the total price by the amount (1.00/5 = 0.20)

2. multiply .30 by 15 = 4.50 (original price)

3. multiply .20 by 15= 3.00 (sale price)

4. subtract the sale price from the original price (4.50-3.00=1.50)