Step-by-step explanation:





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Answer:
Given:
and
.
Prove: 
Since
, By the definition of perpendicular lines angles 1, 2, 3 and 4 are 90 degree. similarly
, it means angles 5, 6, 7 and 8 are 90 degree.
We can say that,
,
,
and 
From figure it is noticed that the angle 1 and 5 are corresponding angles.
If two parallel lines are intersected by a transversal, then the corresponding angles are equal.
Since corresponding angles are congruent, therefore the line must be parallel to each other.
Hence proved that
.
x correct answers
23 - x incorrect answers
82 = 4x + -1(23 - x) = 3x - 23
105 = 5 x
x = 105/5 = 21
21 right 2 wrong 2 unanswered
Check: 4(21) -1(2) = 84-2=82 good
Answer:
-3
Step-by-step explanation: