From the figure, we can conclude that the little triangle is an isosceles triangle, the greatest angle is 90 because ∠A = 90 and they are supplementary, therefore, using the triangle sum theorem:
Answer:
The required recursive formula is:
Step-by-step explanation:
We are given a geometric sequence as:
6,-18,54,-162,.....
Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.
Let represents the nth term of the sequence.
This means that:
As the common ratio is -3.
so,
Hence, the required recursive formula for the geometric sequence is:
Answer:
x = 11
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FEB and ∠ DEB are adjacent angles and supplementary, thus
∠ FEB = 180 - 4x , so
180 - 4x + x = 147, that is
180 - 3x = 147 ( subtract 180 from both sides )
- 3x = - 33 ( divide both sides by - 3 )
x = 11
Density = mass / volume
Mass = 25.69g and Volume = 10 mL
D = 25.69g / 10mL
Density = 2.569 g/mL