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3 years ago

Lines f and g are parallel which statement can you not reduce from this information?

Mathematics

2 answers:

liberstina [14]3 years ago

3 0

Answer: Choice C

There is no way to figure out if angle 4 and angle 7 are congruent. If we knew they were right angles, then we would be able to determine that. However, that isn't the case here.

marshall27 [118]3 years ago

3 0

Answer:

Option C. is the answer.

Step-by-step explanation:

In the figure attached, f and g are two parallel lines and a transverse is intersecting these lines.

Now we will each option to check whether it is applicable or not.

A. ∠1 ≅ ∠8

Since ∠1 ≅ ∠5 [ Corresponding angles]

and ∠5 ≅ ∠8 [ opposite angles ]

Therefore, ∠1 ≅ ∠8 [Transitive property of equality]

Therefore, option is correct.

B). m∠2 + m∠5 = 180°

Since ∠2 ≅ ∠7

Therefore, m∠7 + m∠5 = 180° [ supplementary angles]

Therefore, option is correct.

C. ∠4 ≅ ∠7

We can not deduce this statement from the given statement.

D. ∠3 + ∠8 = 180°

Since ∠3 ≅ ∠7

So ∠7 + ∠8 = 180°

And we know ∠7 and ∠8 are supplementary angles.

So this option is correct.

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g(x) = $\frac{x+3}{x-3}$

Step-by-step explanation:

From the picture attached,

Given function is,

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We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = $\frac{2x}{(x-3)}$

g(x) = $\frac{2x}{(x-3)}-1$

= $\frac{2x-(x-3)}{(x-3)}$

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Therefore, g(x) = $\frac{x+3}{x-3}$ will be the answer.

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We will use proportions to solve our given problem as:

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