In the diagram shown, line mm is parallel to line nn. Cruz says that ∠4∠4 and ∠6∠6 are congruent angles. Is he correct? Why or w
hy not?
a) Yes, because they are both obtuse angles
b)Yes, because ∠4∠4 and ∠7∠7 are congruent corresponding angles, and ∠6∠6 and ∠7∠7 are vertical angles.
c)No, because ∠4∠4 and ∠6∠6 are not right angles.
d)No, because ∠4∠4 and ∠5∠5 are not congruent, and ∠5∠5 and ∠6∠6 are not congruent.
a) Yes, because they are both obtuse angles
b)Yes, because ∠4∠4 and ∠7∠7 are congruent corresponding angles, and ∠6∠6 and ∠7∠7 are vertical angles.
c)No, because ∠4∠4 and ∠6∠6 are not right angles.
d)No, because ∠4∠4 and ∠5∠5 are not congruent, and ∠5∠5 and ∠6∠6 are not congruent.
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(gof)(0) cannot be evaluated
<em><u>Solution:</u></em>
Given that,
A composite function is denoted by (g o f) (x) = g (f(x)).
The notation g o f is read as “g of f”
Therefore, let us find whether (gof)(0) can be evaluated or not
To find (gof)(0):
(g o f) (x) = g (f(x))
Now substitute the given value of f(x)
Now to find (gof)(0), substitute x = 0
Since 1 divided by 0 is undefined, because any number divided by 0 is undefined
(gof)(0) cannot be evaluated