Answer: Choice B)
Here's why:
Focus on right side only. We have (n+8)(n+5).
Let's use FOIL to expand that out
F = first means we multiply the first terms n and n to get n^2
O = outer tells us to multiply the outer terms n and 5 to get n*5 or 5n
I = inner tells us to multiply the inner expressions 8 and n to get 8n
L = last meaning we multiply 8 and 5 to get 8*5 = 40
Add up those results: n^2+5n+8n+40 = n^2+13n+40
Notice how the like terms (5n and 8n) combine to have the expression simplify a bit.
This shows how (n+8)(n+5) turns into n^2+13n+40, which is why choice B is the answer. The other choices aren't true equations for all values of n.
Step-by-step explanation:
BDC and ACD are complementary with each other. that means together they cover the full 180 degrees of the half circle that can be drawn on one side of a flat line.
180 = 11x + 25 + 4x + 5 = 15x + 30
150 = 15x
x = 10
BDC = 11x + 25 = 11×10 + 25 = 110 + 25 = 135 degrees
ACD = 4x + 5 = 4×10 + 5 = 40 + 5 = 45 degrees
You're solving for w for I assume.
P= -3w+9, put -3w on the left side and P on the right side.
3w= -P+9, divide both sides by 3.
w= -P+9 over 3.
w= -P over 3 plus 9 over 3.
(Final Answer):
w= -p over 3 plus 3.
Hope this helps.
Answer:
x <= -7
Step-by-step explanation:
3x+11 <= -10
3x <= -21
x <= -7
Hope this helps you!
B. 25, acute
You can see it’s acute. 160 would be obtuse