ANSWER:
x = 55°
The value of 'x' is equivalent to 55°.
STEP-BY-STEP EXPLANATION:
The rhombus in the rectangle is a regular rhombus. It has two pairs of parralell sides.
Therefore, we can use co-interior angles on parallel lines to solve this problem. Co-interior angles are two angles on parallel lines which form a 'C' shape and add up to 180°.
THEREFORE:
( 2x + 20 )° + ( 50 )° = 180°
2x = 180 - 20 - 50
2x = 110
x = 110 / 2
x = 55°
Answer:

Step-by-step explanation:
The area of this rectangle is x*y. But, this problem requires that you represent the variable "y" in terms of "x" only.
A hint here is that the variable "y" represent a point on the line that connects the end points (0,b) and (a,0).
The first step to solve this problem is to get the expression of this line.
The slope of this line is: m = (0 - b)/(a - 0) = -b/a
Because the point (x,y) is on this line we have: y - b = m(x - 0)
y = (-b/a)x + b
Solution: Area of the rectangle = x*y = x*((-b/a)x + b) = (-b/a)x2 +bx
Answer:
50.24 sq. units
Step-by-step explanation:
S = 4πr² = 4×3.14× 2² = 3.14 × 16 = 50.24 sq. units
Answer:
A.
Step-by-step explanation: By looking at the image it shows 2 not 4.