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svlad2 [7]
4 years ago
12

ABC has interior angles with measures 130°, x°, and 15°, and △DEF has interior angles with measures 35°, 15°, and y°.

Mathematics
1 answer:
Dennis_Churaev [7]4 years ago
4 0
X=35 and y= 130.
similar triangles have at least 2 congruent angles.
ABC = 130, 35 and 15
DEF = 130, 35 and 15
so B) the triangles are similar because y=130 and there are 3 pairs of congruent angles.
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Let's make some variables to represent the cost of the tables and chairs.

Let x be equal to the cost of one chair
Let y be equal to the cost of one table

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8x + 4y = 37

Now we have our system of equations.
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3x + 2y = 17
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We can cancel the y's very easily. Then it would just leave us with the x's.
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Then add the equations together.

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Then just divide both sides by 2.

x = 1.5

Substitute 1.5 into one of the equation. I'll pick 3x + 2y = 17

3(1.5) + 2y = 17 ; Start
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