Answer:
![x = 18](https://tex.z-dn.net/?f=x%20%3D%2018)
Step-by-step explanation:
Vertically Opposite Angles are equal..
so,
![x + 54 = 4x \\ 54 = 4x - x \\ 54 = 3x \\ \frac{54}{3} = \frac{3x}{3} \\ 18 = x](https://tex.z-dn.net/?f=x%20%2B%2054%20%3D%204x%20%5C%5C%2054%20%3D%204x%20-%20x%20%5C%5C%2054%20%3D%203x%20%5C%5C%20%20%5Cfrac%7B54%7D%7B3%7D%20%3D%20%20%20%20%5Cfrac%7B3x%7D%7B3%7D%20%20%5C%5C%2018%20%20%3D%20x)
The left term is (5x)³.
The right term is 10³.
So, you can use the formula for the factorization of the difference of cubes.
... a³ - b³ = (a-b)(a² +ab +b²)
Here, you have a=5x, b=10, so the factorization is
... 125x³ -1000 = (5x-10)(25x² +50x +100)
Answer:
7 feet long
Step-by-step explanation:
This set up will give a right angle triangle where;
Length of the ladder is the hypotenuse = x
The distance of the ladder to the house is the adjacent = 3 feet
Angle of elevation theta = 72 degrees
Using the CAH in trigonometry identity;
cos theta = adjacent/hypotenuse
cos 72 = 3/hyp
hyp = 3/cos72
hyp = 3/0.4258
hyp = 7.05 feet
Hence the ladder is approximately 7 feet long
Answer:
YOUR ANWSER IS C
Step-by-step explanation:
HOPE THIS HELPED
Answer:
2 + 2x = y
Step-by-step explanation:
I think you're saying the entrance fee is $2. This is the constant. If each game costs an additional $2 per game, that would translate into 2x - or 2 * the number of games. This results in the slope-intercept form equation of: 2+2x=y