Answer:
(x-54)° + 2x° + 99° = 360
=> x + 2x + 99 – 54 = 360
=> 3x + 45 = 360
=> 3x = 360 – 45
=> x = 315/3
=> x = 105
The value of x is 105
This is a geometric sequence because each term is a constant multiple, called the common ratio, of the previous term. In this case the common ratio, noted as "r", is:
8/-2=-32/8=128/-32=r=-4
The first term is -2
Any geometric sequence can be expressed as:
a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.
Since we know r and a for this problem already we can say:
a(n)=-2(-4)^(n-1)
the next number would be 44,000,088
The comparison of shoes placed on the floor by Helena next to each other change from reflection to translation.
<h3>What do you mean by reflection?</h3>
The reflection of a plane or shape is flipping the original figure with respect to a reference line.
The rule of reflection are given below,
- Reflection about x-axis (x,y)-->(x,-y)
- Reflection about y-axis (x,y)-->(-x,y)
Before training for the obstacle course, Helena bought a new pair of athletic shoes.
- She placed the shoes on the floor next to each other and noticed that the right shoe looked just like a reflection of the left shoe.
- This is because, the separating line works as the symmetry line between both the shoes.
Now she had accidentally purchased two left shoes. Now, if she puts a left shoe to another left shoe, then it looks like the translated image of the first shoe.
Hence, the comparison of shoes placed on the floor by Helena next to each other change from reflection to translation.
Learn more about the reflection here;
brainly.com/question/1908648
#SPJ1
<h2>
The simplest form of radical 
= ![\sqrt[5]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B7%7D)
.</h2>
Step-by-step explanation:
We have,
To find, the radical form of = ?
∴
We know that,
Any number raised to the power of reciprocal n is the 
root of that number.
=
∴ = [ ∵ 7 is a prime number, the simplest form of radical]
Thus, the simplest form of radical = .
