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Helga [31]
3 years ago
11

Find the total for items costing $149.99 with a sales tax of 5.75%

Mathematics
1 answer:
jek_recluse [69]3 years ago
5 0
141.36 is the answer
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Answer: 5

Step-by-step explanation:

Since \overline{GH} \parallel \overline{DE}, by the corresponding angles theorem, \angle FGH \cong \angle FDE, \angle FHG \cong \angle FED. This means \triangle FGH \sim \triangle FDE by AA.

As corresponding sides of similar triangles are proportional,

\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5
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Therefore, the answer is <u>5</u>

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