Answer C
Step-by-step explanation: lol idk
It is is a parallelogram, hence we have to face sides equal in length and the opposite angles are also the same. From the given above we have:
ab=14 and its opposite side cd=14
bc=20 and its opposite side da=20
Solving for the diagonal measurement bd, we have consecutive angles are equal to 180°
∠A+∠B=180°
∠A=180°-54°
∠A=126° , ∠B=54° ,∠C=126° and ∠D=54°
bd²=ab²+da²-2(ab)(da)cos126°
bd²=14²+20²-2*14*20cos126°
bd=30.42 unit
Solving for the angle dbc, we have
cos dbc=bc²+bd²-cd²/a*bc*bd
cos dbc=20²+30.42²-14²/2*20*30.42
dbc=21.76°
Answer:
First number: 20
Second number: 30
Step-by-step explanation:
First#: x
Second#: y
Constraints:
x + y = 50
1/4x + 2/3y = 25
Isolate variable y:
x + y = 50
-1/4 (x + y = 50 )
-1/4x - 1/4y = -12.5
Add equations the two equations to eliminate x:
-1/4x - 1/4y = -12.5
1/4x + 2/3y = 25
_________________
5/12y = 12.5
5y = 150
y = 30
Substitution to find x:
x + y = 50
x + 30 = 50
x = 20
Answer:
The boat travels (300.4 km / 11 hours) which is 27.30909091 kilometers per hour, So it would take 240 / 27.30909091 hours or 8.78828229 hours. (Which rounds off to 8.79 hours)
Step-by-step explanation:
