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skad [1K]
3 years ago
11

Are the triangles congruent? and why?

Mathematics
1 answer:
Natali [406]3 years ago
7 0

Answer:

Yes the triangles are congruent

Step-by-step explanation:

since

AB=CD

AD=CB

and BD= BD (common sides)

Therefore

the two triangles are congruent

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Then 60-x = amount of 85% juice we'll use.

We'll set up an equation that is based on how much pure juice comes from each component and how much we need in the final mixture.

So 70% of x plus 85% of (60-x) must equal 80% of 60, or...

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Then 60 - x = 60 - 20 = 40

Check: 70% of 20 pints = 14 pints of pure juice.

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            That's 48 pints of pure juice in the mix, which matche 80% 0f 60 pints.

You'd need 20 pints of the 70% juice and 40 pints of the 85% juice.

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