You need to prove that <A = <E
since c is the midpoint of line AE then AC = EC
i dont remember the name of the theroem that states that when a triangle has two sides and an angle in common that it is congruent i think it called SAS congruence therom. use that to prove that the <| s are congruent then use CPCTC to prove that <A = <E. then prove that they are || by usint the int angle therom.
Answer:
35
Step-by-step explanation:
Breakeven quantity are the number of units produced and sold at which net income is zero
Breakeven quantity = fixed cost / price – variable cost per unit
Fixed costs are costs that do not vary with output. e,g, rent, mortgage payments
If production is zero or if production is a million, Mortgage payments do not change - it remains the same no matter the level of output.
Hourly wage costs and payments for production inputs are variable costs
Variable costs are costs that vary with production
fixed cost = $2450
Variable cost = $75
price = $145
(2450) / (145 - 75) = 35
The answer of v32 divided by 7 equals 4.57
What are the advantages of the parametric equations
Answer:
Step-by-step explanation:
Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.
From the question given; the advantages of parametric equations given
x = 1 + 6 cos t
y= -2 + 6 sin t
are
:
1) For a given value of the independent variable the parametric equation is used exactly one point on the graph
2) the parametric equations have a finite domain
3) the parametric equation is easier to enter into a calculator for graphic
Answer:
8 and 12
Step-by-step explanation:
Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means
AC/AB = CD/BD = 2/3
The perimeter is the sum of the side lengths, so is ...
25 = AB + BC + AC
25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.
20 = 5/3·AB
12 = AB
AC = 2/3·12 = 8
_____
<em>Alternate solution</em>
The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.
That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).
Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).
The remaining sides of the triangle are AB=12 and AC=8.
