Lcm is 24 and the gcf is 2
One property of the diagonals of a rhombus is that they are perpendicular bisectors of each other. So 4 congruent right triangles will be formed when you draw the two diagonals. Considering one right triangle, we can solve for the two sides by dividing them by 2.
24 ft/ 2 = 12 ft
18 ft/ 2 = 9 ft
Using the Pythagorean Theorem, we can now solve for the hypotenuse which is the side of the rhombus.
side = √(12²+9²) = 15 ft
The answer is B.
For monthly membership, the cost must be less than $325. We can set up an inequality:-
100 + 30x < 325 where x = number of months of membership
Solving -
30x < 325-100 = 225
x < 225 / 30
x < 7.5 months
The answer is 7 months.
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Jin: 3 small candles and 1 medium candle
3s + 1m = 3.85 <-- equation 1
Trish: 4 small candles and 5 medium candles
4s + 5m = 10.45 <-- equation 2
Solving the system of equations,
s = $0.8/small candle
m = $1.45/medium candle