Lowest common denominator-> 6
1/2 multiply both top and bottom by 3 to get it in sixths
1/6+3/6=4/6
4/6 simplifies to 2/3.
2/3 is the simplest form to your question.
10 1/2 x 2 2/3= 28, 3 1/3 x 4 2/7= 14.2857142857, 7/2 - 4/5= 2.7
Answer:
f = -3/4
Step-by-step explanation:
13f + 6 -f = -3
Combine like terms
12f +6 = -3
Subtract 6 from each side
12f+6-6 = -3-6
12f = -9
Divide each side by 12
12f/12 = -9/12
f = -3/4
Answer:
11
Step-by-step explanation:
Answer:
CD = √11 and CE = √11
Step-by-step explanation:
We know that m∠D is 45° (by using the sum of interior angles in a triangle) so therefore, ΔDCE is a 45 - 45 - 90 triangle (the 45, 45, and 90 refer to the angle measures). The ratio of sides in a 45 - 45 - 90 triangle is 1 : 1 : √2 where the 1s are the sides and the √2 is the hypotenuse. We need to solve for x in x : x : √22. If you notice that √22 = √2 * √11, we can use this to find x, therefore, x = 1 * √11 = √11 so CD = √11 and CE = √11.