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: Second option.
Step-by-step explanation:
Given the function f(x), which is:

And given the function g(x), which is:

You need to substiute the function
into the function
in order to find
.
Therefore, through this procedure, you get this answer:


You can observe that this matches with the second option.
Answer:
Simplifying
7 + 3lnx = 15
Solving
7 + 3lnx = 15
Solving for variable 'l'.
Move all terms containing l to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3lnx = 15 + -7
Combine like terms: 7 + -7 = 0
0 + 3lnx = 15 + -7
3lnx = 15 + -7
Combine like terms: 15 + -7 = 8
3lnx = 8
Divide each side by '3nx'.
l = 2.666666667n-1x-1
Simplifying
l = 2.666666667n-1x-1
Answer:
6/20 and 9/30
Step-by-step explanation:
Any fraction that can be simplified to 3/10 by dividing the numerator and the denominator is considered equivalent. If you look at the fractions above 6/20 is literally the same thing as 3/10 but I just multiplied the 3 and 10 times 2. As long as you multiply/divide both the numerator and the denominator by the same number the answer you get should be equivalent.