Answer:
Since,
Here, the given equation is,
|a| < b
Case 1 : if a ≥ 0,
|a| < b ⇒ a < b
Case 2 : If a < 0,
|a| < b ⇒ -a < b ⇒ a > - b
( Since, when we multiply both sides of inequality by negative number then the sign of inequality is reversed. )
|a| < b ⇒ a < b or a > - b ⇒ -b < a < b
Conversely,
If -b < a < b
⇒ a < b or a > - b
⇒ a < b or -a < b
⇒ |a| < b
Hence, proved..
In a parallelogram, opposite sides are parallel and equal . So to prove JKLM a parallelogram, we need to satisfy both criterias . And only the last option stand up on both criterias that is opposite sides are parallel and equal .
So the correct option is the last option .
1.If AC = 5x + 2 and BD = 2x + 20, find BD. 5x+2=2x+20 D BD=216)+20=32 ... 5. In the accompanying diagram, ABCD is a rectangle. E is a point on CD:
Answer:
We know that the formula to mix chemical solutions is: C1V1 = C2V2
where C represents the concentration of the solute, and V represents volume in milliliters or ml.
In this case, we have:
0.06V1 = 0.15×350
Solving for 'V1' we have:
V1 = (0.15×350)/0.06 = 52.5/0.06 = 875
Therefre I can make 875 mL of a 6% solution by diluting 350 mL of a 15% solution.
