Answer:

Step-by-step explanation:
<u>Similar Triangles</u>
Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.
Considering the triangle PQR, the sum of its internal angles must be 180°:

Substituting the known values:

Solving for R:


Angles S and Q are congruent, thus

Angles T and R are congruent, thus

Summarizing:

From the explicit formula:
an=3+(n-1)8
simplifying this we get:
an=3+8n-8
an=8n-5
thus
the recursive formula is:
an=an-1+
the missing part is the common difference which is 8
Answer:
B. (b+3c)+(b+3c)
C. 2(b)+2(3c)
Step-by-step explanation:
we have

Distribute the number 2

Verify each case
case A) 3(b+2c)
distribute the number 3


therefore
Choice A is not equivalent to the given expression
case B) (b+3c)+(b+3c)
Combine like terms


therefore
Choice B is equivalent to the given expression
case C) 2(b)+2(3c)
Multiply both terns by 2


therefore
Choice C is equivalent to the given expression
Answer: 3/8
Step-by-step explanation:
1/2 × 3/4
Multiply the numerators: 1 × 3 = 3
Multiply the denominators: 2 × 4 = 8
I hope this is clear, have a great day.
Answer:
Step-by-step explanation:
K (-5, 1)
L (0, 1)
M (0, 3)
N (-5, 3)