Answer:
p =
+ 2x - 5 + ![\frac{6}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7Bx%7D)
Step-by-step explanation:
divide each term by x and simplify
Answer:
Step-by-step explanation:
In a parallelogram, the opposite sides are equal and parallel.
Also, consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.
Angle 2m and angle n are supplementary angles. Therefore,
2m + n = 180 - - - - - - - - - - - -1
Also, the opposite angle in a parallelogram are equal. This means that
2m = 70
m = 70/2
m = 35 degrees
Substituting m = 35 into equation 1, it becomes
2 × 35 + n = 180
70 + n = 180
n = 180 - 70
n = 110 degrees
now, is an equliateral triangle, so all sides are equal, if one side is 4ft, all three sides are 4ft.
![\bf \textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}~~ \begin{cases} s=length~of\\ \qquad a~side\\[-0.5em] \hrulefill\\ s=4 \end{cases}\implies A=\cfrac{4^2\sqrt{3}}{4}\implies A=4\sqrt{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20an%20equilateral%20triangle%7D%5C%5C%5C%5C%20A%3D%5Ccfrac%7Bs%5E2%5Csqrt%7B3%7D%7D%7B4%7D~~%20%5Cbegin%7Bcases%7D%20s%3Dlength~of%5C%5C%20%5Cqquad%20a~side%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20s%3D4%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Ccfrac%7B4%5E2%5Csqrt%7B3%7D%7D%7B4%7D%5Cimplies%20A%3D4%5Csqrt%7B3%7D)
Answer:
106
Step-by-step explanation:
The area of one of the triangles is 1/2*5*3
The area is 7.5, but there are 2 triangles so the combined area is 15
The area for whole rectangle is 7*(5+3+5)=7*13=91
So the total area is 91+15= 106