A teacher deposits $3,000 in a retirement fund. If she doesn't add any more money to the fund, which earns an annual interest ra
1 answer:
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Answer:
Option B Yes by AAA
Step-by-step explanation:
we know that
If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent
so
substitute the values and verify
simplify
-------> is true
therefore
The triangles are similar by AAA------> the three angles are congruent
The measure of angle x will be 88 degrees. Then the correct option is C.
The complete question is attached below.
<h3>What is law of cosine?</h3>Let there is a triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:
2ab cos θ = a² + b² – c²
The triangle is shown below.
Then the value of the variable x will be
2 · 7 · 10 · cos x = 7² + 10² – 12²
140 · cos x = 49 + 100 – 144
cos x = (149 – 144) / 140
x = 87.95 ≈ 88°
Then the correct option is C.
Learn more about law of cosines here:
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