Answer:
Red and Green are parallel
Black and Blue are perpendicular
Step-by-step explanation:
Parallel lines need to have the same slope. Lines red and green both have a slope of 1/2.
The slopes of two lines that are perpendicular have to be opposite reciprocals, and must be multiplied together to get -1. Line black has a slope of -4, and line blue has a slope of 1/4. Both of them multiplied together equals -1.
Answer:
0.2
Step-by-step explanation:
it just is. look it up they will have an explanation
Answer:
C. 40.2°
Step-by-step explanation:
Cosine rule (real handy to remember): c² = a² + b² - 2·a·b·cos(γ)
If you don't know this yet, look it up but in short: c, a and b are the lengths of the sides of the triangle, the angle opposite side a is called α, for b it is β and for c it is γ. That's the convention I've always used anyway, you can call them whatever of course. Anyhow:
c² = a² + b² - 2·a·b·cos(γ)
⇒ |AC|² = |AB|²+|BC|²-2·|AB|·|BC|·cos(∠B)
⇒ |AC|²-|AB|²-|BC|² = -2·|AB|·|BC|·cos(∠B)
⇒ ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) = cos(∠B)
⇒ ∠B = arccos( ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) )
= arccos( ( 11²-16²-16² ) / ( -2·16·16 ) )
= 40.21101958°
≈ 40.2°
Answer:
57
Step-by-step explanation:
50 + 7 =57
51+1+1+1+1+1+1+1 = 57
Answer:
Step-by-step explanation: