Answer:
x=25/3
How to solve:
1. Rearrange terms:
3x-9x=-14-36
2. Collect like terms and calculate
-6x=-50
3. Divide both sides
x=25/3
Answer: 23°, 65° and 92°
Step-by-step explanation:
a + b + c = 180 (The angles of a triangle equals to 180)
a = 4c (the largest angle is 4 times the smallest angle)
b = 4c - 27 (the final angle is 27 less than the largest angle)
c = c
Now that we have gotten the values for the variables in our equation, we plug them in:
4c + 4c - 27 + c = 180
Combine like terms:
4c + 4c + c - 27 = 180
9c - 27 = 180
9c = 180 + 27
9c = 207
Divide both side by 9
c = 23
a= 4c
a = 4 × 23
a = 92
b = 4c - 27
b = 92 - 27
b = 65
b = 65
Check:
a + b + c = 180
92 + 65 + 23 = 180
180 = 180
Answer:
Explanation:
The car travel 10ft north then 15ft due west. In order to find the distance from starting point. We need to find the hypotenuse where the distance to north and west are the adjacent side.
We can use Pythagorean’s theorem according to that:
Let c be the distance from starting point.
And a and b be the distance travel to north and west.
a^2 + b^2 = c^2
10^2 + 15^2 = c^2
100 + 225 = c^2
325 = c^2
Sqrt(325) = c
5sqrt(13) = c
Therefore, the distance from starting point is 5sqrt(13) ft