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?
1 answer:
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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Answer:
The probability of choosing a blue or yellow highlighter when one yellow highlighter is picked is 17/25.
Step-by-step explanation:
Here, according to the question:
Total number of yellow highlighters = 12
Total number of blue highlighters = 6
Total number of green highlighters = 4
Total number of orange highlighters = 3
So, the total number of highlighters = 12 + 6 + 4 + 3 = 25
Let E1 : Event of selecting a yellow highlighter.
P(E1) = =
Let E2 : Event of selecting blue or yellow highlighter ONCE yellow highlighter is selected.
So, the total yellow highlighters left after selecting one = 12 -1 = 11
Also, the number of blue highlighter = 6
So, the TOTAL FAVORABLE options to E2 = 6+ 11 = 17
P(E2) =
=
Hence, the probability that a blue or yellow highlighter is selected given that a yellow highlighter is selected is 17/25.