Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.

here is his solution:
cos⁡x=16/20
x=cos^(-1)⁡(16/20)=36.8698976≈37°

bob made a mistake in his work. explain the mistake and write the correct solution.

1) Mistakes:

The adjacent side that is next to the missing angle is not 16, so is incorrect.

He should have used to find the missing angle.  

2) The correct solution is:

≈53°

Step-by-step explanation:

 Remember that:

1)  

If , then the angle whose cosine is A, can be calculated with the inverse function of the cosine:

2)

 If , then the angle whose sine is B, can be calculated with the inverse function of the sine:

The mistakes that Bob made, are:

The adjacent side of the right triangle is not 16, so is incorrect.

Knowing that the missing angle is "x", the opposite side and the hypotenuse are the known sides. Therefore, he should have used to find the missing angle.  

Therefore, the correct solution is:

≈53°

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

i believe the answer is 68cm

step-by-step explanation:

i just took 34 x 2 because the space between v and y is the same as y to k.