Answer:
No, because the reflection of ABC is not congruent to A’B’C’.
Step-by-step explanation:
we know that
The rule of the reflection across the line y=x is equal to
(x,y) -------> (y,x)
so
A(-6,6) -------> A'(6,-6) ----> is ok
B(-3,3) ------> B'(3,-3) ----> is ok
C(-8,2) ------> C'(8,-2) ----> is not ok ( is not a reflection acros the line y=x)
therefore
The triangles are no t congruent, because the reflection of ABC is not congruent to A’B’C’
Answer:
a(7)=3645
Step-by-step explanation:
you have :
f(1) =a= 5
and from recursive rule: f(n) = r · f(n − 1) and f(n) = 3 · f(n − 1)
So r=3
then
a(n)=a*r^(n-1)
a(7)=5*3^(7-1)
a(7)=5*3^6=3645
<em>hope this helps</em>
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Answer:
4/25=0.16=16%
3/11=0.27=27%
Step-by-step explanation:
Answer:
44
Step-by-step explanation:
h(-7) means use the expression labeled h and evaluate it for x=-7.
Like this:
(-7)^2 - 5
49 - 5
44
Answer: the height of the prism is 14 cm.
Step-by-step explanation:
The formula for determining the volume of a rectangular prism is expressed as
Volume = length × height × width
Volume = LWH
The length of the prism is 3 times the width. It means that
L = 3W
The height is twice the width. This means that
H = 2W
Therefore,
Volume = 3W × × W × 2W = 6W³
The volume of a rectangular prism is 2,058 cubic cm. This means that
2058 = 6W³
Dividing through by 6, it becomes
343 = W³
W = 7
Therefore, the height of the prism would be
H = 2W = 2 × 7
H = 14 cm
