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
Answer:
C or D
Step-by-step explanation:
Round it up so you do 11x36
Answer:
y = -
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m =
=
= - ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
The line crosses the y- axis at (0, 2) ⇒ c = 2
y = -
x + 2 ← equation of line