Answer:
C
Step-by-step explanation:
We are given that
DCB and CDA are supplementary.
We have to identify the parallel segments if DCB and CDA are supplementary.
Supplementary angles: If the angles are supplementary then the sum of two angles is 180 degrees.
Therefore,
Therefore, angle DCB and angle CDA are interior angles .
Because CA is a transversal line and sum of interior angles is 180 degrees.
When the sum of interior angles formed between two lines and on same side of transversal line is 180 degrees. Then the lines are parallel.
Therefore, angle DCB and angle CDA are formed between line AD and BC.
Hence, AD is parallel to BC.
Option C is correct.
Parallel lines have the same slope, so if you need a line parallel to this one, it'll share a slope of (7/4). for future reference, perpendicular lines have opposite reciprocal slopes. you change the sign, then flip the fraction. -2 would become 1/2; as slopes, these would be perpendicular lines.
The last one is the answer
Answer:
Do u have answer choices?
Area of square =6*6= 36 cm^2
Area of trapezoid =1/2( base1+base2)*height
base 1=7
base2=21-6=15
height=6
Area of trapezoid =1/2( 7+15)*6= 66
whole area = area of square + area of trapezoid= 36+66=102
Answer 102
