Answer:
45
Step-by-step explanation:
First, we have to find the Nth term of this sequence. Since this is linear we can just find the difference to get the n. For example, we can do 3-2 which is one and we can also do 5-4 which is also 1 which confirms that the n is 1. So in other words, 1n However, we don't write the 1 in front of the n because the n itself represents 1n. Next, we have to take away 1 from the first term, which also gives us 1. This is the adjustment to the 1n. So our answer is n+1, which is the nth term for this linear sequence. So now we just substitute 44 into the equation. 44+1=45, which is the 44th term.
Answer:
Step-by-step explanation:
As the center of dilation is A, it does not change.
As A is the origin, B is (12, 4)
So B' will be (12/4, 4/4) = (3, 1)
Or from A move 3 right and 1 up
As A is the origin, C is (8, - 8)
So C' will be (8/4, -8/4) = (2, -2)
Or from A move 2 right and 2 down.
Answer:
Step-by-step explanation:
From the figure attached,
In the given right triangles ΔADB and ΔCDB,
Statements Reasons
1). ∠BAD ≅ ∠BCD 1). Given
2). BD ≅ BD 2). Reflexive property
3). ΔADB ≅ ΔCDB 3). By LA theorem of congruence of right triangles
Therefore, there is sufficient information to prove the ΔADB and ΔCDB congruent.
Leg-angle theorem (L-A) will be used to prove the right triangles congruent.
<span>She charges $60 to design the party
So we know we need to add 60. So 60 +
</span><span>then $10.00 per child
</span>10 dollars per child mean 10 times # of children so we have:
10n
Put it all together:
60 + 10n
f(n) = 60 + 10n
