Answer:
x= 15
y= 5
Step-by-step explanation:
it is a reflective opposite side exterior angle or line you are seeing.
The angle on the other side is a vertical angle meaning it is the same. Which leads to show that the measurements are the same as well.
Answer:
z = 155 ( second choice )
Step-by-step explanation:
x = 25
65 + 90 = 155
180 - 155 = 25 = x
180 - 25 = 155 = z
Answer:
y = 
x
Step-by-step explanation:
slope-intercept form: y = mx + b
Given: slope(m) = , point (4, -3)
We already have the value of m, but we need to find the value of b. To do this, input the given values of the slope and the point into the equation:
-3 = (4) + b
Solve for b:
-3 = (4) + b
-3 = -3 + b
0 = b
The value of b is zero. We can now write the equation:
y = x + 0
y = x
The equation written in slope-intercept form is: y = x
Answer:
20 hours
Step-by-step explanation:
We can work easier if we think in terms of an hour
the first equation that we can write is
A + B = 1/4 (its meaning is that in an hour A and B fill 1/4 of the cistern)
the second equation we can write is
A + C = 1/5 (its meaning is that in an hour A and C fill 1/5 of the cistern)
the third equation that we can write is
B = 2C (its meaning is that in an hour B fill 2 times C the cistern)
now we can substitute the value of B in the first two equations
A + 2C = 1/4
A + C = 1/5
A = 1/5 - C
1/5 - C + 2C = 1/4
C = 1/4 -1/5
C = (5-4)/20
C = 1/20 (this means that in an hour C will fill 1/20 of the cistern, so it takes 20 hours to fill the entire cistern)
A = 1/5 - 1/20
A = (4-1)/20 = 3/20
B = 1/20 *2 = 1/10
