Check my answer ?

3. in triangle xyz, xy = 15, yz = 21, and xz = 27. what is the measure of angle z to the nearest degree?

a. 34***
b. 39
c. 56
d. 117

The correct option is A.

Step-by-step explanation:

Given information: In triangle XYZ, XY = 15, YZ = 21, and XZ = 27.

It means z=15, x=21, y=27.

Using Law of Cosine.

The measure of angle Z is approx 34 degree. Therefore option A is correct.

answer: 4  

the square root of 16 is 4. it is a very simple mathematic concept. a square root when a number multiplied by itself will result in a number. here, the number 16 comes when 4 is multiplied by 4. hence the square root of 16 is 4. you can always figure out a square root by the inverse operation of squaring.  

step-by-step explanation:

consider the parallelogram shown in the attached image.

in the parallelogram hijk, the length of hk is given as,

from the properties of parallelogram we know that the opposite sides of a parallelogram are parallel to each other and are equal in measure.

therefore, the length of the side ij must be equal to the length of the side hk and that is .

hence, the expression for the length of ij confirms that hijk is a parallelogram.