Step-by-step explanation:
| v − 455 | < 23
Writing this without absolute values:
-23 < v − 455 < 23
Solving for v:
432 < v < 478
In interval notation: (432, 478)
This interval is within the range of blue wavelengths, so the fireworks will be blue.
The question is incomplete. The complete question is as follows.
Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle has a length of 4.5 feet and width of x feet. Not drawn to scale (The drawing is in the attachment). Rounded to the nearest tenth.
What is the value of x?
A. 0.1 feet
B. 0.6 feet
C. 1.6 feet
D. 2.0 feet
Answer: B. 0.6 feet
Step-by-step explanation: Two quantity are proportional if the ratio of them is constant. From the drawing and the question, we have that the two rectangles are proportional between them.


x = 
x = 0.6
The width of the smaller rectangle is <u>0.6 feet</u>.
1) Angle mnq is equal to angle q plus angle n (because two interior angles equal one exterior angle)
2) 132= 54 plus angle n
3) 180-132=48 (angles on a straight line equal to 180 degrees)
3x+102=180
3x= 78
x is 26 degrees
Let, the age of Mary = M
Age of John = J = 2M
System of Equation would be: M + J = 52
or M + 2M = 52
3M = 52
M = 52/3
M = 17 1/3 Years
J = 34 2/3 Years
Hope this helps!
If you right it out and solve left to right that should be your answer