Answer:
slope is -5
Step-by-step explanation:
The formula for slope is:
m = (y2 - y1)/(x2 - x1)
m = slope
y2 = y-coordinate of second point
y1 = y-coordinate of first point
x2 = x-coordinate of second point
x1 = x-coordinate of first point
We can choose our first and second points as any points on the table, but we will choose the first andd second points which are (-5,10) and (-3,0).
y2 = 0
y1 = 10
x2 = -3
x1 = -5
m = (0-10)/(-3-(-5))
m = (-10)/(-3+5)
m = (-10)/(2)
m = -5
1 white shirt
1 black shirt
1 blue shirt
1 blue pant
1 tan pant
There are 5 total articles of clothing and 2 that he could end up wearing (white shirt & tan pants)
so the probability equals 2/5
Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.
5/6 + 3/8
Convert to denominators of 24:
20/24 + 9/24
Add the numerators:
29/24
Convert to mixed number:
1 5/24
The answer is greater than