Answer:
perpendicular is the opposite, so -3
The surface area increases by a factor of 4. 2^2= 4.
The area of the long side is 3×1= 3cm^2 on the small prism.
The area of the long side is 6×2= 12cm^2 on the large prism.
12/3= 4.
Answer:
-1/4
Step-by-step explanation:
We can find the slope of a line given two points by using
m = (y2-y1)/(x2-x1)
= (-2- -1)/( -4 - -8)
= (-2+1)/(-4+8)
= -1/4
Answer:
<h2>1. x = 4</h2><h2>2. x = 20</h2>
Step-by-step explanation:
1.
ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

We have:
AC = 1 + 4 = 5
AJ = 1
AB = 1 + x
AK = 1
Substitute:

<em>subtract 1 from both sides</em>

2.
ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

We hve:
VU = x + 8
VM = x
VT = 49
VN = 49 - 14 = 35
Substitute:
<em>cross multiply</em>
<em>use the distributive property a(c + b) = ab + ac</em>
<em>subtract 35x from both sides</em>
<em>divide both sides by 14</em>
