Could someone please help with answering the questions in the images below, I'd really appreciate any help given!

Could someone please help with answering the questions in the images below, I d really appreciate any help given! class=
Could someone please help with answering the questions in the images below, I d really appreciate any help given! class=

Verified Answer :

  1. Both angles are 120 degrees.

    Because it is symmetric we know that all of the points are the same.  With the 30 degrees given we can draw a line to make 2 right triangles.  We know that there are 180 degrees in a triangle so when we have a 30 degree side and a 90 degree side the other side muse be 60.

    Since we have two right triangles we have 2 60 degree sides next to each other so it's 120 degrees for Y.  The reason Z is 120 degrees is because you have a circle with 2 parts at 120 degrees which is 240.  Since there are 360 degrees in a circle Z must also be 120 degrees.

    7. I will do one of each for you, you can do the rest
     First Box
    Area= Side Side or: (x+3)X= A simplifies to X^2+3X= Area
    Perimeter = 2L + 2W or  2(X+3) + 2x = P simplifies to 2x + 6 + 2x =P which simplifies to 4x + 6 = P

    First Triangle
    Area = HB/2 (Height Base/2) or x(x+4)/2 simplifies to X^2+4x/2 =A
    Perimeter = S+S+S or:  X + X+4 +2X which simplifies to 4X+4=P 

    2. Parallelogram Area = B
    H
    So we have 4 * ?= 10
    Divide both sites by 4 and ?= 2.5cm