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.
The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).
Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse
Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse
Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.
The acronym to remember this is SOHCAHTOA
SOH | CAH | TOA
SOH means sin(x) = opposite/hypotenuse
CAH means cos(x) = adjacent/hypotenuse
TOA means tan(x)= opposite/adjacent
cosB = length of adjacent side/length of hypotenuse = 7/25
tanB = length of opposite/length of adjacent = 24/7
sinB = length of opposite/length of hypotenuse = 24/25
Assuming that you meant factor family to be a factor tree.
32 8 4
16 2 4 2 2 2
4 4 2 2
2 2 2 2
Use the pythagorean therom. 12 squared + 3 squared = x squared
So the answer is 12.4 feet
