Step-by-step explanation:
HOPE IT HELPS Y
First of all this is a very poor question, and you should question it a bit. What are these figures? Are they regular? (first 2). Is the last one a parallelogram. I'm going to assume that the yellow one is a rectangle and the middle one is a pentagon and the last one is a parallelogram.
Yellow
A has 4 right angles (That's the property of a rectangle).
Green
B has 5 angles that are equal to 108 degrees. If you draw a 2 lines from any vertex you get 3 triangles. The size of the interior angles totals 3 triangles * 180 degrees = 540 degrees.
540/3 = 108.
Each angle in the interior is 108 degrees.
B has 5 angles all equal 108 degrees. All 5 are obtuse.
Red
Just by sight and assumption C has 2 obtuse angles, and 2 acute angles.
Answer:
D. 32, 8, 256
Step-by-step explanation:
You want to get the same base numbers so you can add exponents
sqrt(2)^(4x+1) = 2^(2x+1/2)
16^x = 2^4x
4^(8x-6) = 2^(16x-12)
Now you can drop the bases and do the following equation
2x+1/2 + 4x = 16x-12
Solve for x, which is 1.25
Plug 1.25 back into the original numbers and you get the answers for the dimensions and area.
