What is the best answer for the length of side x

Step-by-step explanation:

Solution 1 (Pythagorean Theorem):

In any right triangle, the Pythagorean Theorem holds true: , where is the hypotenuse of the triangle.

From the Isosceles-Base Theorem, the other leg of the triangle (unlabeled) must 5. Therefore, we have:

Solution 2 (ratios of a 45-45-90 triangle derived from the Pythagorean Theorem):

In any 45-45-90 triangle, the ratio of the sides will be , where is the hypotenuse. From there, we can see that one of the legs has a length of 5, and thus the hypotenuse will be . (derived from Pythagorean Theorem).

Solution 3 (Law of Sines):

In any triangle, the Law of Sines holds true: .

, and recall .

(recall )

Solution 4 (basic trig. for right triangles):

In any right triangle, the cosine of an angle is given by its adjacent side divided by the hypotenuse of the triangle.

(recall )

Solution 5 (Law of Cosines):

In any triangle, the Law of Cosines holds true: .

Assigning , we have:

(recall )

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98