Answer:
UV=25 units
Step-by-step explanation:
we know that
UW=UV+VW -----> by addition segment postulate
substitute the given values
4x+10=5x+5
solve for x
5x-4x=10-5
x=5
Find the value of UV
UV=5x
substitute the value of x
UV=5(5)=25 units
-3x + 9 - 4 = x + 3 + 2x
-3x + 9 - 4 = 3x + 3
9 - 4 = 6x + 3
5 = 6x + 3
2 = 6x
1/3 = x
The best way to solve this is by giving a visual idea of the glass ornaments. so We will have letter G represent Green, O for Orange, B for Brown, P for Purple.
Sample 1:G,O,B,P
Sample 2:G,P,O,B
Sample 3:P,G,O,B
Sample 4:O,G,P,B
Sample 5:G,O,P,B
This is what you can do this should be the right amount of ways to arrange them.
Solution:
The three powers whose value is greater than 500 and less than 550 can be find by following procedure.
We will solve this problem by Hit and trial method by finding the squares, cubes, fourth power, Fifth Power,...etc. of different natural numbers.
23²= 529
8³ = 8 × 8 × 8 =512

The three powers are →→→Eighth power of 2, Square of 23, and Cube of 8.