Which lines are parallel? Justify your answer.

Mathematics

2 answers:

zzz [12.3K]3 months ago

8 0

Answer:

Lines a and b are considered parallel due to their corresponding angles being equal.

Step-by-step explanation:

The corresponding angle postulate states that two lines are parallel when a transversal intersects them and their corresponding angles are congruent.

In this case, line a and line b are intersected by transversal e, with both corresponding angles measuring 110 (which are congruent), hence, according to the corresponding angle postulate, we can conclude that line a and line b are indeed parallel to each other.

Leona [12.6K]3 months ago

3 0

Answer: A

Step-by-step explanation:

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A blimp is 1100 meters high in the air and measures the angles of depression to two stadiums to the west of the blimp. If those

tester [12383]

Answer:

The distance separating the two stadiums is nearly 3115.1 meters

Step-by-step explanation:

By creating two right angle triangles formed between the blimp and each stadium, as illustrated in the provided image, the spatial separation "x" can be calculated as the excess length of the ground-level triangle legs.

To calculate the lengths of these legs, the tangent function corresponding to the given depression angles can be applied as follows:

$tan(75.2^o)=\frac{1100}{a} \\a=\frac{1100}{tan(75.2^o)}\\a\approx 290.6\,\,meters$