3 years ago

These two triangles are congruent by the Hypotenuse-Leg Theorem.

Mathematics

1 answer:

Softa [21]3 years ago

3 0

Answer:

$y = - 2$

Step-by-step explanation:

Given that the 2 triangles are congruent based on the Hypotenuse-leg theorem, this implies that:

$x - y = x + 2$ , and $2x - y = 4x + 2y$

Using the expression, $x - y = x + 2$ , solve for y:

$x - y - x = x + 2 - x$

$- y = 2$

$y = - 2$

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The table below shows the process of solving using successive approximations. Continue this process to find the positive solutio

gregori [183]

We are going to continue the process; this time we are going to evaluate both functions at x=2.4:
For our first function:
$f(x)=2x-5$
$f(2.4)=2(2.4)-5$
$f(2.4)=4.8-5$
$f(2.4)=-0.2$

For our second function:
$g(x)= x^{2} -6$
$g(2.4)=(2.4)^2-6$
$g(2.4)=5.76-6$
$g(2.4)=-0.24$
To the nearest tenth:
$g(2-4)=-0.2$

We can conclude that the positive solution of our functions to the nearest tenth is $x=2.4$ .