An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12
9. L’(-1,-3) Z’(-5,-5) F’(-4,-2)
10. B
I think these are right if they aren’t I’m sorry
Answer:
T=-11
Step-by-step explanation:
y2-y1/x2-x1
=t-(-1)/9-10
=t+1/9-10
=t+1/-1
=-11+1/1
=-10/1
=-10
Hope this helps :)
Answer:
Step-by-step explanation:
From the figure attached,
If the figures shown are congruent (Equal in shape and size), length of all the sides must be equal.
Therefore, sides sides CD and GH must be equal in measures.
Distance between the two points 
and 
is given by,
d = 
Length of the side CD having ends C(-4, 4) and D(0, 5) will be,
CD = 
CD = 
= 
Length of GH having ends G(0, -4) and H(4, -5) will be,
GH = 
= 
=
Therefore, m(CD) = m(GH)
Similarly, we can prove all corresponding sides of two figures equal in measure.
This shows ABCD ≅ EFGH.
Answer:
(- 6, 3 )
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (y, - x ), thus
(- 3, - 6 ) → (- 6, 3 )
