Answer:
11880 ft
Step-by-step explanation:
12 in = 1 ft
142560/12 = 11880
Answer:
1. x =8
2. x=9
Step-by-step explanation:
Since these figures are parallelograms, the opposite sides are equal.
1. 6 = 2x-10
Add 10 to each side
6+10 = 2x-10+10
16 = 2x
Divide each side by 2
16/2 = 2x/2
8 =x
2. x+14 =23
Subtract 14 from each side
x+14-14 = 23-14
x = 9
Answer:
The value of x will be:
Step-by-step explanation:
Given the equation
![4-2(x+7)=3(x+5)](https://tex.z-dn.net/?f=4-2%28x%2B7%29%3D3%28x%2B5%29)
Multiply (or distribute) each term in parenthesis on L.H.S by -2, and multiply (or distribute) each term in parenthesis on R.H.S by 3.
![4-2x-14=3x+15](https://tex.z-dn.net/?f=4-2x-14%3D3x%2B15)
simplifying the equation by subtracting 14 from the L.H.S
![-10-2x=3x+15](https://tex.z-dn.net/?f=-10-2x%3D3x%2B15)
Subtracting 15 from both sides
![-10-2x-15=3x+15-15](https://tex.z-dn.net/?f=-10-2x-15%3D3x%2B15-15)
![-25-2x=3x](https://tex.z-dn.net/?f=-25-2x%3D3x)
combining the like terms
![-25=3x+2x](https://tex.z-dn.net/?f=-25%3D3x%2B2x)
![-25=5x](https://tex.z-dn.net/?f=-25%3D5x)
dividing both sides of the equation by 5
![\frac{-25}{5}\:=\:\frac{5x}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B-25%7D%7B5%7D%5C%3A%3D%5C%3A%5Cfrac%7B5x%7D%7B5%7D)
![-5=x](https://tex.z-dn.net/?f=-5%3Dx)
Therefore, the value of x will be:
Answer:
Perimeter of ΔLMN = 80 units
Step-by-step explanation:
From the figure attached,
m∠K = m∠N = 58°
m∠J = m∠M = 76°
m∠I = m∠L = 46°
Therefore, ΔKJI and ΔNML are the similar triangles.
By the property of similar triangles,
"Corresponding sides of two similar triangles are proportional"
![\frac{JK}{NM}= \frac{JI}{ML}= \frac{KI}{NL}](https://tex.z-dn.net/?f=%5Cfrac%7BJK%7D%7BNM%7D%3D%20%5Cfrac%7BJI%7D%7BML%7D%3D%20%5Cfrac%7BKI%7D%7BNL%7D)
![\frac{9}{NM}= \frac{11}{27.5}= \frac{12}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7BNM%7D%3D%20%5Cfrac%7B11%7D%7B27.5%7D%3D%20%5Cfrac%7B12%7D%7B30%7D)
![\frac{9}{NM}= \frac{12}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7BNM%7D%3D%20%5Cfrac%7B12%7D%7B30%7D)
NM = ![\frac{9\times 30}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B9%5Ctimes%2030%7D%7B12%7D)
NM = 22.5
Perimeter of the triangle LMN = ML + NM + NL
= 27.5 + 22.5 + 30
= 80 units