Answer:
x=6/11
x≈0.545
Step-by-step explanation:
They are corresponding angles, so their measurements are congruent to each other. Therefore, you can set them equal to each other and solve for x:
19x+6=30x
6=11x
6/11=x
x=6/11
x≈0.545
Find the equation
alrighty, the slope is rise/run
from (21,-3) to (28,-1)
rise is from -3 to -1 or a rise of 2
run is form 21 to 28 or a run of 7
so slope is 2/7
y=2/7x+b
find b which is the y intercept
alirhgty
use (21,-3)
x=21 and y=-3
-3=(2/7)(21)+b
-3=42/7+b
-3=6+b
-9=b
y=2/7x-9
the y intercept is (0,-9
the x intercept is where y=0
0=2/7x-9
9=2/7x
63/2=x
x intercept is (63/2,0) or (31.5,0)
y intercept is (0,-9)
Simplified the answer is 35/12+3v/2
Answer:
M = 20
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, that is
160 = k × 4³ = 64k (divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
