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Firdavs [7]
3 years ago
8

What is the value of A and B (5x + b)(5x - b) = ax^2 - 49

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
6 0

Answer:

a=25

b=7

Step-by-step explanation:

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

∠ABY + ∠YBC = 180
x + 25 + 2x + 50 = 180
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--------------------------------------------------------------
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.
---------------------------------------------------------------------------------------------

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