Wow! Here you have 3 fractions with 3 different denominators that have nothing in common. In cases such as this one you find the LCD by mult. all of the given denominators together. Thus, in this case, your LCD is 4(5)(3) = 60.
To find the least common denominator of the three fractions, list out the multiples of each denominator:
Multiples of 3: {3,6,9,12,15,18,21,24,27,30,33,36,39,42,45,48,51,54,57,60} Multiples of 4: {4,8,12,16,20,24,28,32,36,40,44,50,55,60} Multiples of 5: {5,10,15,20,25,30,35,40,45,50,55,60}
The least common denominator of these three fractions is 60.
<h3>Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles.</h3><h3>The value of x is 8.</h3>
Step-by-step explanation:
Given that Quadrilateral CAMP below is a rhombus. the length PQ is (x+2) units, and the length of QA is (3x-14) units
From the given Q is the middle point, which cut the diagonal PA into 2 equal halves.
By the definition of rhombus, diagonals meet at right angles.
Implies that PQ = QA
x+2 = 3x - 14
x-3x=-14-2
-2x=-16
2x = 16
dividing by 2 on both sides, we will get,
<h3>∴ x=8</h3><h3>Since Q cuts the diagonal PA into 2 equal halves, since the diagonals of rhombus meet at right angles we can equate x+2 = 3x-14 to find the value of x.</h3>