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dedylja [7]
3 years ago
12

ABCD is a rectangle. If AC = 5x + 2 and BD = x + 22, find the value of x.

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0
AC and BD are diagonals so they are congruent to each other and you can set the expressions equal

5x+2=x+22
Then, you need to subtract 2 from both sides to get 5x=x+20

Next, you subtract x from both sides to get 4x=20

Finally, you divide both sides by 4 to get a final answer of x=5

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Factor 2k^2 - k - 3<br> A: (2k-3)(k+1)<br> B: (k-1)(2k+3)<br> C: (2k-1)(k+3)<br> D: (k-3)(2k+1)
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Answer:

A

Step-by-step explanation:

Given

2k² - k - 3

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Use these factors to split the k- term

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= 2k(k + 1) - 3(k + 1) ← factor out (k + 1) from each term

= (2k - 3)(k + 1) → A

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Step-by-step explanation:

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