They won 46 games. They lost 18 games.
Answer:
a) Given
b) Given
c) Definition of Supplementary Angles
d) Same-side Interior Angles Theorem
e) Converse of the Same-side Interior Angles Theorem
Step-by-step explanation:
A flow proof is a way of organizing our thoughts and logical deductions about values in a math situation. We make statements and list underneath the reasons these statements are true. Reasons should include math theorems and definitions or any information that is "given" to us in the problem by being written there in it. We can see that a and b were both "given" in the problem.
We can add 40 and 140=180. This is the definition of supplementary angles. We also recognize by their positioning that they are on the same side of the transversal within what appears to be parallel lines. This is Same side interior Anges Theorem. FInally, because this theorem can be applied then the angles must be parallel. This is called the Converse of the Same Side Interioir Angle Theorem
Answer:
The dimension are 20 ft by 15 ft
Step-by-step explanation:
A = l*w
P = 2(l+w)
we know the area = 300
and the perimeter = 70
300 = lw
70 = 2 (l+w)
divide by 2
70/2 = 2/2 (l+w)
35 = l+w
subtract w
35-w = l+w-w
35 -w =l
substitute this into 300 = lw
300 = (35-w) * w
distribute
300 = 35w - w^2
subtract 300 from each side
0 = -w^2 +35w - 300
divide by -1
0 = w^2 - 35w + 300
factor
0= (w-15) (w-20)
using the zero product property
w-15 = 0 w-20 =0
so w=15, w=20
if w=15 then l=35 -w l = 35-15 l=20
if w=20 then l=35-w l= 35-20 = 15
The dimension are 20 ft by 15 ft
Answer:
It is 33.18
Step-by-step explanation: first you do 0.05 x 4= 0.2 then you add all the other number which = 33.18
Answer:
5. x=5
6. M is the midpoint of L and P or L and P are the same point.
Step-by-step explanation:
Solve the following
14 + 4x + 6 = 8x
20 = 4x
x = 5
