What is the range of values for X? WILL GIVE BRAINLIEST!

Step-by-step explanation:

Part 1) Find the value of x

we know that

The triangle ABC is an isosceles triangle, because has two equal sides

AB=BC

so

∠A=∠C

Remember that the sum of the interior angles in any triangle must ne equal to 180 degrees

so

we have

Find the measure of angle A

therefore

Applying the law of sines In the triangle ABD

solve for BD

----> equation A

Applying the law of sines In the triangle CDB

solve for BD

----> equation B

equate equation A and equation B

solve for x

Part 2) Find the range of values of x

Remember that

(4x-4) must be greater than zero

so

we know that

In any triangle: The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle

That means

solve for x

therefore

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.