15. given the right triangle in the diagram below,
what is the value of x, to the nearest foot?
a. 11
b. 17
c. 18
d. 22

The answer to your question is 18 feet

Step-by-step explanation:

Data

hypotenuse = x

angle = 40°

adjacent side = 14 ft

Process

1.- To solve this problem we use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

            cos Ф  =

Solve for hypotenuse

             hypotenuse =

2.- Substitution

              hypotenuse =

3.- Simplification

               hypotenuse =

4.- Result

               hypotenuse = x = 18.27 ≈ 18 ft

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.