Answer:
Option (4)
Step-by-step explanation:
Given : XZ ≅ DF and ∠X ≅ ∠D
To prove : ΔXYZ ≅ ΔDEF
Statements Reasons
1). XZ ≅ DF 1). Given
2). ∠X ≅ ∠ D 2). Given
3). XY ≅ DE 3). Required information
4). ΔXYZ ≅ ΔDEF 4). By SAS property of congruence
Therefore, Option (4) will be the answer.
Answer:400 miles per hour
Step-by-step explanation:
Let w = speed at which the plane travelled west
Let s = speed at which the plane travelled south
Distance moved in 5 hrs heading west = 5*w = 5w
Distance moved in 4 hrs heading south = 4*s = 4s
Total distance, 3444= 5w + 4s
w = s + 39( 39 miles/hr faster)
5(s+39) + 4s = 3444
5s + 195 + 4s = 3444
9s = 3249
s = 361 miles per hour
w = s + 39 = 361 +39
= 400 miles per hour
If he has 6 friends they will all get 8 cards
Complementary angles add up to 90 so
angle + 47 = 90
angle = 90 - 47
angle = 43 so A