We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:
GiveN:
- One side is 3 times the second side.
- Third side is 12 feet longer than the second side.
As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.
- So let the second side be x
Then,
- First side = 3x
- And, third side = x + 12
We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

Solving it further,

Subtracting 12 from both sides,


Dividing 5 from both sides,


Then,
- First side = 3x = 12 feet
- Second side = 4 feet
- Third side = x + 12 = 16 feet
And we are done with the answer !!
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Answer:

Step-by-step explanation:
The satellite has 30 modular units.
There are equal numbers of non-upgraded sensors in each unit.
Let us assume that on the entire satellite there are x numbers of upgraded sensors.
Then as per the given condition, there are
number of non-upgraded sensors in one unit.
Therefore, the number of non-upgraded sensors on the entire satellite is
=6x
Hence, total number of sensors in the satellite is (x+ 6x) =7x
Therefore, the required fraction of the upgraded sensors is
. (Answer)
It very well could be, but not necessarily. What if q = 10, s = 8, and t = 6?
The statement is that q is less than s, and s is less than t (which therefore also means q is less than t).
However, when we substitute (replace) all the letters with the values we assigned them, we can find that the expression becomes:
10 < 8 < 6
This clearly isn’t right, as 10 is the greatest number there, and 8 is definitely less than 10 and greater than 6.