Answer:
The 3rd side of the rug is 2 ft long
Step-by-step explanation:
6+6=12
14-12=2
2 ft long
1/12 since there is only 2 the probability is 1/12
A perpendicular slope is a slope that is the negative reciprocal of the current slope. Therefore, 3.
Answer:
y = 4x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (0, 3)
m = 
= 
= 4
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 4x + 3 ← equation of line
Answer:x=31
angle AOC = 124
angle BOC = 56
Step-by-step explanation:
We first need to solve for x to solve the rest. We would normally solve for x by setting 2 equations equal to each other, in this case however, we know that the two angles are adjacent and in total add up to 180. Therefore we combine like terms of both angles, and set them equal to 180.
So, we do
3x+31+2x-6=180 We will combine like terms
5x+25=180 Now we will do inverse operations
5x=155
x=31
We plug x into angle AOC to solve for it
3(31)+31= 124
180-124=56 or angle BOC because the whole angle is 180, and if we subtract 124 from 180 we get the remainder which is angle BOC
Or if you want,
2(31)-6=56
