A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
Answer:
This is a rectangle
Step-by-step explanation:
2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles
Answer:
There are 42 different types of shirt available for this company.
Step-by-step explanation:
Given:
Number of design Company has = 3
Number of color pattern available = 7
Types of shirt (short or long sleeves) = 2
We need to find the number of different types of shirts are available from this company.
Solution:
the number of different types of shirts can be calculated by multiplying Number of design Company has with Number of color pattern available also multiplying with Types of shirt (short or long sleeves).
framing in equation form we get;
the number of different types of shirts 
Hence There are 42 different types of shirt available for this company.
Answer:
x = 8
Step-by-step explanation:
All sides are equal in terms of symmetry, such as the 5 and 5 opposite the angle 120 that repeats itself at the centre 3 times
1) 216
2) 203
3) 315
4) 256
5) 576
6) 440