Answer: the dwarf tree grew by 3 inches.
the semi dwarf tree grew by 6 inches.
the full size tree grew by 18 inches.
Step-by-step explanation:
Let x represent how much the semi-dwarf lemon tree grew.
Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. This means that the amount by which the dwarf lemon tree grew is expressed as x/2
A full-size lemon tree grew three times as much as the semi-dwarf lemon. This means that the amount by which the full-size lemon tree grew is expressed as 3x
Together, the three trees grew 27 inches. This means that
x/2 + x + 3x = 27
Cross multiplying by 2, it becomes
x + 2x + 6x = 54
9x = 54
x = 54/9
x = 6 inches
The dwarf tree grew by 6/2 = 3 inches.
The full-size lemon tree grew by 3 × 6 = 18 inches
The word missing in 12 is fraction and field
the missing word in 14 is dividing
Answer:
Since, In Quadrilaterals KLMN and quadrilateral WXYZ,
Sides Kl, LM, MN and NK are corresponding to the sides WX, XY, YZ and ZW respectively.
Also, If two shapes are similar the ratio of their corresponding sides must be same are in same proportion,
Here, Quadrilateral KLMN is similar to quadrilateral WXYZ,
Therefore,

Which is the required proportion that must be true for the given figure.
Answer:
-2
Step-by-step explanation:
We want to evaluate;

We use the reciprocals of trigonometric ratios to obtain;

The 960 degree angle makes an angle of 60 degree with the positive direction of the x-axis and it is in the 3rd quadrant.
This implies that;

We use special trigonometric ratios to obtain;

