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worty [1.4K]
3 years ago
10

Runways A and B are parallel to each other and perpendicular to Runway C. If Runway D makes a 35 degree angle with Runway Aaa sh

ow in the diagram, what is the measure of the angle marked in the diagram between Runways C and D?

Mathematics
1 answer:
Elis [28]3 years ago
3 0

Answer:

55°

Step-by-step explanation:

Draw the diagram according to the given data (see attached diagram).

In this diagram,

  • line AC is runway A;
  • line BD is runway B;
  • line AB is runway C.

Note that ∠GCH=35°

Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.

Angles CDI and BDE are vertical angles, so angles  CDI and BDE are congruent as vertical angles.

Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so

m∠BED=90°-m∠BDE

m∠BED=90°-35°=55°

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3 years ago
In a fruit cocktail, for every 15 ml of orange juice you need 25 ml of apple juice and 10 ml of coconut milk. What proportion of
stepladder [879]

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5 0
3 years ago
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I dont understand please help
DiKsa [7]

2 \frac{1}{2}+(-2\frac{1}{4})

This is equal to:

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First, I would change it to mixed numbers:

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Now, you simply subtract:

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I hope this helps :)

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