To find x, we have to use the pythagorean theorem.
a^2 + b^2 = c^2.
In our problem,
a = 3
b = ?
c = 6.5
(3)^2 + b^2 = (6.5)^2
Simplify the left and right side.
9 + b^2 = 42.25.
Subtract 9 from each side
b^2 = 33.25.
Take the square root of each side
b = 5.8.
Multiply 5.8 by two becuase 5.8 is the radius and we are looking for the diameter
x = 11.6
Answer:
x = 7
Step-by-step explanation:
We can tell by looking at this triangle that this is a <u>45 45 90 triangle.</u>
In this situation, the hypotenuse is
and the legs are both
.So if we look at the hypotenuse, we can tell that x, or the leg of the triangle, is 7.
45 45 90 triangles: This is a special triangle in which the angles of the triangle are 45 45 and 90 degrees. This means that the hypotenuse will be
and the legs of the triangle will be
. You can usually use the Pythagorean theorem to solve the missing sides.
Answer:
infinite solutions
Step-by-step explanation:
Multiply the first equation by 2
2(3x-5y) = 2*15
6x - 10y = 30
This is the same as the second equation
They are the same line
This means there are infinite solutions