50.74
B/c 43*.18=7.74
7.74+43=50.74
hope this helps
It is ASAF
In both Triangles,
AB = AD (Given)
AC = AE (Given)
∠CAB = ∠EAD (Vertically opposite angles)
So,
By SAS rule of congruency,
∆ABC = ∆ADE
The first step is to find the slope. Use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)
So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2
The slope is -2
Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5
y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3
The y intercept is 3
-----------------------------------
m = -2 is the slope
b = 3 is the y intercept
Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
9514 1404 393
Answer:
A, E
Step-by-step explanation:
You are correct that the appropriate relationship is ...
g = 0.4t . . . . choice A
You are also correct that an equivalent relationship is ...
t = 2.5g . . . . choice D
However, when we say gallons are proportional to seconds, we usually expect that to be written ...
g = kt . . . . for some value of k
__
We note that another equivalent is ...
g = 2/5t . . . . choice E
The appropriate choices are probably A and E. Choice D might be argued to be correct, but you could very well lose that argument to someone who prefers a "g = " form of the relationship.
