To show the sides are equal all you need to do is draw the given Pentagon.. When angles are similar so are their opposite sides so chose any equal angle and dash the side of the Pentagon that's on the other side of the angle (dash =congruence)
I am going to assume these are points across the same line. (line segments)
If so, then jk + kl = jl
If jk is 6x and kl is 3x, we can solve for x.
6x + 3x = 27 (note we subbed 27 in for jl)
9x = 27 (divide both sides by 9 to leave on x on the left)
x = 3
CHECK! sub 3 in for x in the original problem.
6 (3) + 3 (3) = 27
18 + 9 = 27
Yes! It checks. x = 3
<h2>
The base of a rectangular prism(b) = 41 in.</h2>
Step-by-step explanation:
Given,
The height of a rectangular prism(h) = 3 in and
The perimeter of a rectangular prism = 88 in
To find, the base of a rectangular prism(b) = ?
We know that,
The perimeter of a rectangular prism = 2l + 2b or 2b + 2h or 2h + 2l
∴ 2b + 2(3) = 88
⇒ 2b = 88 - 6
⇒ 2b = 82
⇒ b = 41 in
Thus, the base of a rectangular prism(b) = 41 in.