Answer:
A
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
t² + 12² = 13²
t² + 144 = 169 ( subtract 144 from both sides )
t² = 25 ( take the square root of both sides )
t =
= 5 → A
Make ratios.
12/16: 15/x
cross multiply
12(x) = 12x
16(15) = 240
12x = 240
isolate the x, divide 12 from both sides
12x/12 = 240/12
x = 20
D) 20 km is your answer
hope this helps
Answer:
{x,y} = {3,1}
Step-by-step explanation:
visit this for more info;
https://www.tiger-algebra.com/drill/2x_y=7;x-y=2/
Answer:
1.25 ft long
Step-by-step explanation:
To find x, first we'll split the triangle in two right triangles.
The first triangle will be the one with sides (8,x+4,y) and the second triangle will be the one with sides (12,2x+1,y).
As you can see, these two triangles share the side 'y'.
To solve we'll do the following; first solve for 'y' by applying the Pythagorean theorem in the second triangle, and finally solve for 'x' applying Pythagorean theorem in the first triangle.
From the second triangle (12,2x+1,y) we solve for 'y' by writing:

Now that we know 'y^2' we apply Pythagorean Theorem in the first triangle (8,x+4,y)


Now you solve the quadratic equation, you'll get a positive and negative value; as this are lengths, you take the positive and get: