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iragen [17]
3 years ago
10

Jeff uses 3 fifth-size strips to model 3/5. He wants to use tenth-size strips to model an equivalent fraction. How many tenth-si

ze strips will he need?
Mathematics
2 answers:
sergiy2304 [10]3 years ago
4 0
Sixteen. For the fraction 6/10 which is equivalent to 3/5
Varvara68 [4.7K]3 years ago
4 0
He will need 6 fund this out by how many times can five go into 10 that equals 2. 3*2= 6 so that is your awnser.
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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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