Answer:
Reason : by ASA , x = 36
Step-by-step explanation:
∠ABC = ∠EBD (vertically opposite angle)
BC = BD = 54 (same length)
∠BAC = ∠BDE (alternate interior angles)
By ASA , ΔABC ≅ ΔDBE

Answer:
Z =7
Step-by-step explanation:
The middle segment theorem of a triangle says that: A middle segment connecting two sides of a triangle is parallel to the third side and is half its length.
In this case, the middle segment connecting two sides of a triangle is Z.
This means that

Finally we have that:

The length of the middle segment is 7 units
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
Answer:
Latoya:
cran : lem = 2 1/5 : 1 4/5
= 11/5 : 9/5
= 11 : 9
Lem : total = 9 : 20
Parker:
cran : lem = 2 1/2 : 3 1/2
= 5/2 : 7/2
= 5 : 7
Lem : total = 7 : 12
Step-by-step explanation: