Answer:
Step-by-step explanation:
m∠2 = 52° [Alternate interior angles]
m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]
m∠1 = 180° - 52°
m∠1 = 128°
m∠3 = 47° [Alternate interior angles]
m∠5 + 52° + 47° = 180° [Sum of linear angles is 180°]
m∠5 = 180° - 99°
= 81°
m∠4 + 47° = 180° [Sum of consecutive interior angles is 180°]
m∠4 = 180° - 47°
m∠4 = 137°
Answer:
18 square centimeters
Step-by-step explanation:
Notice that if e is the midpoint of the side CB, and angle
, then this rectangle is in fact two squares of side 3 cm put together. therefore, side CD has a length of 6 cm, and as a result, the area of the figure is given by the product base times height = 6 x 3 = 18 
Answer:
1/2652
Step-by-step explanation:
52 cards one jack spades 1/52
now 51 cards left one jack diamonds 1/51
1/52 * 1/51 = 1 / 2652
I believe your answer is D, because vertical angles are congruent
I hope this is the correct way to solve one of these.
first you need to know how the graph is so you consider y=x²-8x+17 (you might want to see the picture below to understand in a better way)
then you have to evaluate two points. one above the curve and one underneath the curve to see where y is greater than the curve. so let’s try for instance (0,0) and (4,2)
finally you must determine which points confirm that the statement is actually true. then you select the region for your solution :)