Congruent means there's exact shape and angle magnitude since transformation requires relocation of an image there's no change to it's shape therefore it's congruent
Answer:
Step-by-step explanation:
Distribute.
Add 5x and subtract 15 on both sides.
Multiply -1 on both sides.
Answer:
the correct answer is c
Step-by-step explanation:
First, create a rule for this sequence.
Let a(1) be the first term (which here happens to be 1).
The next term, a(2), is twice the previous term, that is, twice 1, or 2.
a(3) = 2a(2) = 2(2) = 4
This is called a "recursive function."
The 3rd term is 4. The next, which is a(3) is 2*4, or 8.
Note that there's an alternative approach. The first term, a(1), is 1; the next is a(2) = a(1)*2^(2-1) = 1*2^1=2
the next is a(3) = 1*2^(3-1) = 1*2^2 = 4
So the rule is a(n) = a(1)*2^(n-1).
So a(8) is a(1)*2^(8-1) = 1*2^7 = 2^3*2^4 = 8(16) = 128
Answer: 1.67
Step-by-step explanation:
Z = ( x - mean) / standard deviation
Z = (97-75) / 12
= 20 / 12 = 1.67
