Find the value of x in the triangle shown below.
Choose 1

For the triangle, x is 12 units long.

Step-by-step explanation:

Step 1:

According to the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

The hypotenuse is the side which is the longest in the triangle and is always opposite the right angle.

In the given triangle, the hypotenuse is 13 units long. The other two sides measure 5 units and x units.

Step 2:

By substituting the known values, we get

Rounding this off to the nearest hundred, we get that x is 12 units long.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is