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ruslelena [56]
3 years ago
14

Can someone solve this for x and y

Mathematics
1 answer:
Ad libitum [116K]3 years ago
8 0

Answer:

y = 6\\\\x = 6\sqrt{2}\\x=8.485

Step-by-step explanation:

The base-angles converse theorem states that in a triangle where two angles are congruent, the sides opposite the congruent angles are congruent. One can apply this theorem to the given triangle, and thus, y = 6, because of the base angles converse theorem.

It is also given that the given triangle is a right triangle, therefore, the isosceles triangle with a right angle theorem is applicable. This theorem states that in a right triangle (a triangle with a right angle), that is isosceles (two sides are congruent), the third side (non-congruent side) is equal to the length of the two congruent sides times the square root of (2). Hence, x = 6\sqrt{2}, in the decimal form that is 8.485.

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Answer:

\frac{(\frac{3}{5}*1000) }{6}

Step-by-step explanation:

First, let's find out how many words Maria has left to write. If she has already finished 2/5 of her essay, she has 3/5ths left to write. We can do 3/5 times 1000 to find out how many words are left.

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Now to find the amount of time, we can find how take to write 600 words at a pace of 6 words per minute by dividing 600 by 6.

\frac{600}{6}

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It will take 100 minutes for Maria to write the rest of her essay. Now let's think about an expression that tells us this information. It sounds like your questions is supposed to have options, but I doesn't seem like you've posted them, no worries however.

So first, the amount she has left to write.

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Now thinking back to how we found the time, we can divide this '600' by 6.

\frac{(\frac{3}{5}*1000) }{6}

This is the expression that shows the amount of time it will take to write the rest of the essay.

\frac{((1-(\frac{2}{5})*1000) }{6} is also a valid solution.

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3 years ago
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