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2 years ago

In the figure, lines I and mare parallel lines cut by transversal p.

Mathematics

1 answer:

PolarNik [594]2 years ago

3 0

Answer:

The statement which justifies Andrea's statement is "Corresponding angles are congruent" ⇒ C

Step-by-step explanation:

If two parallel lines intersected by a line, then there are some pair of angles are formed

Corresponding angles that are congruent

Alternate interior angles that are congruent

Alternate exterior angles that are congruent

Consecutive interior angles that are supplementary

In the given figure

∵ Lines l and m are parallel

∵ They are cut by transversal p

∵ ∠2 and ∠3 are in the corresponding position

→ By using the 1st rule above

∵ Corresponding angles are congruent

∴ ∠2 ≅ ∠3

∴ m∠3 = m∠2

∵ m∠2 = 40°

∴ m∠3 = 40°

The statement which justifies Andrea's statement is "Corresponding angles are congruent"

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Answer: original angle = 75°

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Step-by-step explanation:

We know that,

Sum of supplementary angles is 180 degrees.
Sum of complementary angles is 90 degrees.

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As per given,

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3 years ago

A spinner has 10 equally sized sections, 5 of which are gray and 5 of which are blue. The spinner is spun twice. What is the pro

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Answer:

$P(Gray\ and\ Blue) = \frac{1}{4}$

Step-by-step explanation:

Given

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Required

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Using probability formula;

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