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Answer:
Step-by-step explanation:
<u>Rectangle has equal diagonals:</u>
<u>Substitute and solve for x:</u>
- 5x + 1 = 8x - 32
- 8x - 5x = 1 + 32
- 3x = 33
- x = 11
<u>Find the length of the diagonals:</u>
- JL = MK = 5*11 + 1 = 56 units
<u>Diagonals of the rectangle bisect each other:</u>
- KN = MK / 2 = 56/2 = 28 units
Answer:
36x+45+15
Step-by-step explanation:
We must follow "PEMDAS" rules for "order of operations."
Multiplication and division must be done before addition and subtraction:
40q = p + (p/3) + (p/9) + p/27
The LCD of this expression is 27. 1, 3 and 9 all divide evenly into 27. The equation thus becomes:
27(40q) = 27p + 9p + 3p + p
Adding up the four "p" terms, we get 40p. Then 27(40q) = 40p.
Simplifying thru division by 40, 27q = p. Alternatively, p = 27q.
Find the ratio of p to q by dividing both sides by q: (p/q) = 27 (answer)
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