Answer:
x = 50
GI = 72
ET = 56
Step-by-step explanation:
Corresponding sides of similar triangles PIG and LET are proportional.
__
GI/PI = ET/LT . . . . . . . . . corresponding sides are proportional
(x +22)/9 = (x +6)/7 . . . . . using the given values in the proportion
7(x +22) = 9(x +6) . . . . . . . cross multiply
7x +154 = 9x +54 . . . . eliminate parentheses
100 = 2x . . . . . . . . . subtract 7x+54
50 = x . . . . . . . . divide by 2
GI = x +22 = 50 +22 = 72
ET = x +6 = 50 +6 = 56
Answer:
B) ![\frac{15}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B4%7D)
Step-by-step explanation:
Area of a rectangle formula:
A = bh
Given:
b = ![2\frac{1}{2}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D)
h = ![1\frac{1}{2}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B2%7D)
Work:
A = bh
A = ![(2\frac{1}{2} )(1\frac{1}{2} )](https://tex.z-dn.net/?f=%282%5Cfrac%7B1%7D%7B2%7D%20%29%281%5Cfrac%7B1%7D%7B2%7D%20%29)
A = ![\frac{15}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B4%7D)
Answer:
21/10
Step-by-step explanation:
The given expression is ![16x^{4}-64.](https://tex.z-dn.net/?f=16x%5E%7B4%7D-64.)
It can be written as
[ we can add or subtract the same thing]
The expression can be factored as difference of two squares
![16x^{4}-64=[4x]^{2}-(8)^{2}=(4x^{2}+8)(4x^{2}-8)](https://tex.z-dn.net/?f=16x%5E%7B4%7D-64%3D%5B4x%5D%5E%7B2%7D-%288%29%5E%7B2%7D%3D%284x%5E%7B2%7D%2B8%29%284x%5E%7B2%7D-8%29)
The common factor of the two terms is 16
WE can take 16 as common factor:
=![16(x^{2}+2)(x^{2}-2)](https://tex.z-dn.net/?f=16%28x%5E%7B2%7D%2B2%29%28x%5E%7B2%7D-2%29)
Options 1 ,3,4 are the equivalent expressions.
Answer:
0.3 cups
Step-by-step explanation:
divide 6 by 20