Based on the pattern of the drawings which conjecture is reasonable to make? a. when a pair of parallel lines is intersected by a third line, the corresponding angles are complementary b. when a pair of parallel lines is intersected by a third line, all of the angles formed are congruent. c. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruentd. when a pair of parallel lines is intersected by a third line, the corresponding angles are supplementary.

the 2 angles in each picture are the same - meaning they are congruent,

 so the answer is:

C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent

Conjectures are simply opinions from a given information.

The conjecture that can be formed is: C. when a pair of parallel lines is intersected by a third line, the corresponding angles are congruent

From the three diagrams, we can see that:

From the figures above, we have the following observations

Hence, the conjecture that can be formed is: option (c)

Read more about conjectures at:

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step-by-step explanation:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2