Answer:

Step-by-step explanation:
Given:
Consecutive Terms: k-5, k+7, k+55
Required:
Determine the value of k
To do this, we make use of the concept of common ratio.
The common ratio (r) of a geometric sequence is:

In other words:

Where 1, 2 and 3 represents the terms of the progression/sequence
So:
becomes

Cross Multiply:

Open Brackets


Collect Like Terms


Solve for k


The surface area of a cube is the combined area of all of its faces. The faces of a cube are squares, so to find the area of one face, we simply need to multiply the side length, which is 20, by itself.
20 * 20 = 400
So one face has an area of 400 units squared. To find the surface area, we just need to add all of the individual areas together. Cubes have 6 faces, so we can just multiply 400 by the amount of faces there are.
400 * 6 = 2400
The net, when folded into a cube, has a surface area of 2,400 units squared.
Hope that helped! =)
The answer is 5/42 multiply 1*5=5 and 6*7=42 the 5 is the numerator and the denominator is 42 so you get 5/42.
Answer: D. (I, II, and III)
Step-by-step explanation:
having a ticket doesn't necessarily mean you will win the lottery, but you must have a ticket to win
not all numbers divisible by 3 are divisible by 6, but all numbers divisible by 6 are also by 3 (since 3 goes into 6 twice)
if a quadrilateral is a square, it is also a rhombus
21 can go into 44 2 times