We are supposed to assume FC and AD is straight line
let's find all the angles
you already see the right angle is 90 degrees, you got that right
striaght line is 180 degrees
90+46+EF=180
136+EF=180
minus 136 both sides
EF=44
now we got another straight line
you did get that A F=46 because it is oposite
notice: AB=BC because same angle designition
so now we use
180+46+2AB=360
2AB=134
divide 2
AB=67=BC
AC=134 degrees
CAE=134+46+44=224
ABD=180 since straight line
a. 90
b. 224
c.134
d. 180
We are given to lines XY and VW. Now we need to determine the expression that correctly states that these lines are congruent. One possibility to prove that they're congruent is if they are two separate lines and:
XA is congruent to VB,
AY is congruent to BW
XA + AY = XY
VB + BW = VW
Then we can conclude that if the statements above are true, XY and VW must be congruent to each other.
Another possibility is that they are two sides of an isosceles rectangle XYVW and are opposite sides of the rectangle. <span />
Answer:
The minimum cost per unit is obtained for an order of 8 units.
Step-by-step explanation:
Since the total cost is modeled by;
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
Answer: first option.
Step-by-step explanation:
You know that the height of the smaller cylinder is 6 cm and the height of the larger cylinder is 18 cm, then you can find the volume ratio. This is:
Knowing that the volume of the larger cylinder is 40,635 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.
Therefore:
3=−(−y+6)
Simplify:
3=−(−y+6)
3=y+−6(Distribute)
3=y−6
Flip the equation.
y−6=3
Add 6 to both sides.
y−6+6=3+6
y=9
