What given data? It’s just lines, what’s the data before?
Answer:
k = 73
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
62
° + k + 45
° = 180
Solve the equation for k
Add 62
° and 45
°
k + 107 = 180
Move all terms not containing C to the right side of the equation.
Subtract 107 from both sides of the equation.
k = 180 − 107
Subtract
k = 73
Answer:
y = -2x - 10
Step-by-step explanation:
Slope intercept form of equation is of form
y = mx+c
where m is the slope of line and c is the y intercept of the line.
Y intercept is point on y axis where the line intersects the y axis.
_____________________________
Given equation
y = -2x +4
comparing it with y = mx+ c
m = -2 , c = 4
_____________________________
when two lines are parallel, their slopes are equal.
Let the equation of new line in slope intercept form be y = mx + c
Thus slope of of new required line is -2
Thus m for new line is -2.
now, equation of required line : y = -2x+c
Given that this line passes through (-4, -2). This point shall should satisfy equation y = -2x+c.
Substituting the value of (-4, -2) we have
-2 = -2(-4)+c
=> -2 = 8 +c
=> -2 -8 = c
=> c = -10.
Thus , equation of required line is y = -2x - 10.
Answer:
12:30 pm
Step-by-step explanation:
8:30 am pond is empty
10:30 am pound is 1,400 gallons full
time? pound is 2,800 gallons full
from 8:30 to 10:30 are 2 hours so the rate of filling up is
1,400 gallons in 2 hours
to have a whole pond filled we need another 2 hours because
in another 2 hours will have another 1,400 gallons so a pound full. 8:30 am + 2hours = 12:30 pm
8:30 am pond is empty
10:30 am pound is 1,400 gallons full
12:30 pm pound is 2,800 gallons full.
70% is the same as 70/100 then we simplify by taking off one zero of each number 7/10 and we can't divide it any more so the answer is 7/10
