One rule in Geometry is the vertical angle theorem. This is when two angles are directly across from each other, they would equal each other. This means that (3x+54) and (7x+10) will equal each other, giving you the function
3x+54=7x+10
Knowing this, all we would need to do now is solve for x. To do this, lets get x to the left. We do this but subtracting both sides by 7x to get rid of 7x on the right side, and bring it to the left
3x+54=7x+10 ------> 3x-7x+54=10 --------> -4x+54=10
Now, lets get x by itself, but subtracting both sides by 54, then dividing both sides by -4
-4x+54=10 ---> -4x=10-54 ---> -4x=-44 ---> x=-44/-4 ---> x= 11
So, we know that x=11. Now, we can plug it into either function. It doesn't matter which one since they both equal each other
f(x)=7x+10 ---> f(11)=7(11)+10 = 77+10 = 87
Our answer is 87
The elevation gained after travelling 1.5 miles = 3960 ft.
Step-by-step explanation:
Given data,
Angle of elevation = 30°
Distance traveled= 1.5 miles
1 mile = 5280 ft.
Therefore 1.5 miles = 5280 x 1.5
= 7920 ft.
The height can be calculated by,
sin 30° = height / 7920
1/2 = height / 7920
Height = 7920/2
= 3960 ft.
The elevation gained after travelling 1.5 miles will be 3960 ft.
Ian can go 296 miles
The ratio is 3-111
To get 1 gallon we divide 111 by 3 to get 1-37
We multiply by 8 to get 8-296
Answer:
negative numbers aren't whole numbers but they are considered to be integers