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What is the answer to these questions.

What is the answer to these questions.-example-1
User Karl D
by
8.1k points

1 Answer

4 votes

Answer:

a) No

b)
174^(\circ)-17x

Explanation:

a)

If
x=5, we have that
\angle c=9(5)-3=45-3=42, and
\angle d=8(5)+9=40+9=49.


42+49=91\\eq 90, so
\angle c and
\angle d are not complementary when
x=5

b)

If
\angle c,
\angle d, and
\angle e form half a circle, that means they sum to
180^(\circ).

We now need to solve
\angle c + \angle d + \angle e = 180^(\circ) for
\angle e.

Plugging in for
\angle c and
\angle d gives
(9x-3)+(8x+9)+\angle e = 180.

Combining like terms on the left side gives
17x+6+\angle e = 180.

Subtracting a
17x and a
6 from both sides gives
\angle e = 174-17x.

This means that
\angle e = 174^(\circ)-17x and we're done.

User Electric Monk
by
8.0k points

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