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ValentinkaMS [17]
3 years ago
7

In the diagram below, BC−→− bisects ∠FBE

Mathematics
1 answer:
nirvana33 [79]3 years ago
7 0

Answer:

<em>m∠EBC = 34° </em>

Step-by-step explanation:

m∠DBC = m∠DBE + m∠ EBC

m∠DBC - m∠DBE = m∠EBC

(12x - 3)° - (5x + 12)° = (3x + 13)°

12x - 5x - 3 - 12 = 3x + 13

4x = 28

x = 7

<em>m∠EBC </em>= (3(7) + 13)° <em>= 34° </em>

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<h3>There are 2 answers: choice C, choice D</h3>

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Explanation:

32% = 32/100 = 0.32

32% of 400 = 0.32*400 = 400(0.32), which adds onto the original 400 to get 400+400(0.32). This is why choice D is one of the answers.

We can factor out the GCF 400 to go from 400+400(0.32) to 400(1+0.32) which then simplifies to 400(1.32) or just 400*1.32. This shows choice C is the other answer. Using a calculator,

400+400(0.32) = 400 + 128 = 528

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meaning that 400+400(0.32) = 400*1.32

The other answer choices result in other values, showing that they aren't equivalent to 528.

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