Answer:
Step-by-step explanation:
Sum of all angles of triangle = 180
39 + 102 + x = 180
141 + x = 180
Subtract 141 from both sides
x = 180 - 141
x = 39
As given,
Weekly rent of Mr. Thomson is = $104.92
Part A: What is Mr. Thompson's yearly rent (using 52 weeks)?
Rent for 1 week = 104.92
Rent for 52 weeks =
= $5455.84
Part B: What was the average grocery expense in this time period?
Mr. Thomson purchased groceries on 2/18 for $33.45 and on 3/5 for $28.56
Hence average grocery expense is = 
= $31 per week or $62.01 per month
Part C: Mr. Thompson estimates his yearly expense for groceries to be:
The monthly expense for groceries is = $62.01
So yearly expense will be =
= $744.12
x = –6
Solution:
Given expression is
.
Step 1: Isolate the radical by subtracting 5 from both sides of the equation.
![\Rightarrow\sqrt[3]{x-2}+5-5=3-5](https://tex.z-dn.net/?f=%5CRightarrow%5Csqrt%5B3%5D%7Bx-2%7D%2B5-5%3D3-5)
![\Rightarrow\sqrt[3]{x-2}=-2](https://tex.z-dn.net/?f=%5CRightarrow%5Csqrt%5B3%5D%7Bx-2%7D%3D-2)
Step 2: Cube both sides of the equation to remove the cube root.
![\Rightarrow(\sqrt[3]{x-2})^3=(-2)^3](https://tex.z-dn.net/?f=%5CRightarrow%28%5Csqrt%5B3%5D%7Bx-2%7D%29%5E3%3D%28-2%29%5E3)
Cube and cube root get canceled in left side of the equation.

Step 3: To solve for x.
Add 2 on both sides of the equation.


Hence the solution is x = –6.
It is necessary to choose a single frame of reference when measuring motion because c<span>hoosing a meaningful frame of reference allows you to describe the motion in a clear and relevant manner.
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