Given:
The figure of a right angle triangle.
A line segment intersect the two sides and parallel to third side of the triangle
To find:
The value of x.
Solution:
According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.
Using basic proportionality theorem, we get



On cross multiplication, we get




Therefore, the value of x is 9.
Answer would probably be 3
Answer:
subtraction property of equality
Step-by-step explanation:
Step-by-step explanation:
Solving
3x + -6y = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '6y' to each side of the equation.
3x + -6y + 6y = 42 + 6y
Combine like terms: -6y + 6y = 0
3x + 0 = 42 + 6y
3x = 42 + 6y
Divide each side by '3'.
x = 14 + 2y
Simplifying
x = 14 + 2y
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