Answer:
The answers are given in the attachment
Step-by-step explanation:
The detailed step by step calculations are shown in the attachment.
Answer:
Y= - 3/x+2/3
Step-by-step explanation:
Answer:
Ar = ¼√3 As
Step-by-step explanation:
Area of an equilateral triangle is:
Ar = ¼√3 s²
Area of a square is:
As = s²
Substituting:
Ar = ¼√3 As
Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"
![\frac{\text{AB}}{ED}=\frac{BC}{EC}=\frac{AC}{DC}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAB%7D%7D%7BED%7D%3D%5Cfrac%7BBC%7D%7BEC%7D%3D%5Cfrac%7BAC%7D%7BDC%7D)
Since, ![\frac{\text{AB}}{ED}=\frac{AC}{DC}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAB%7D%7D%7BED%7D%3D%5Cfrac%7BAC%7D%7BDC%7D)
![\frac{42}{6}=\frac{x}{(32-x)}](https://tex.z-dn.net/?f=%5Cfrac%7B42%7D%7B6%7D%3D%5Cfrac%7Bx%7D%7B%2832-x%29%7D)
6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = ![\frac{1344}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B1344%7D%7B48%7D)
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.