Anna, Ben, and Cathy are having a treasure hunt. They head off in three different directions to start looking for treasure. Afte
r some time, their distances from each other form triangle ABC as shown. Which two friends are farthest apart? a triangle where the measure of angle A, representing Anna, is unknown; angle B, representing Ben, measures 55°; and angle C, representing Cathy, measures 50° A. Anna and Cathy B. Anna and Ben C. Ben and Cathy D. All three are the same distance apart.
1 answer:
Answer: C. Ben and Cathy
Step-by-step explanation:
The diagram showing the triangle ABC is shown in the attached photo.
a represents the distance between Ben and Cathy.
b represents the distance between Andy and Cathy
c represents the distance between Andy and Ben,
The unknown angle A is determined by subtracting the sum of angle B and angle C from 180 degrees. This is because the sum of angles in a triangle is 180 degrees.
Angle A = 180 - (55 + 50)
= 180 - 105 = 75 degrees.
75 degrees is the biggest angle and thus, the farthest distance. It corresponds to a, the distance between Ben and Cathy.
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General Formulas and Concepts:
<u>Algebra I</u>
Basic Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
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Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given.</em>
<em />
<u>Step 2: Solve for </u><u><em>k</em></u>
We can use equality properties to help us rewrite the equation to get <em>k</em> as our subject:
Let's first <em>square both sides</em>:
Next, <em>add p to both sides</em>:
Next, <em>divide 4t by both sides</em>:
We can rewrite the new equation by swapping sides to obtain our final expression:
∴ we have <em>changed</em> the subject of the formula.
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Learn more about Algebra I: brainly.com/question/27698547
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Answer: (2,7)
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)
1 + 3 / 2 = 2
5 + 9 / 2 = 7