Answer:
The correct option is;
DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC)
Step-by-step explanation:
Given that we have;
1) The side AD of the angle m∠ADE corresponds to the side AB of the angle m∠ABC
2) The side DE of the angle m∠ADE corresponds to the side BC of the angle m∠ABC
3) The side AE of the angle m∠ADE corresponds to the side AC of the angle m∠ABC
Then when we have DE = 2·(BC), AD = 2·(AB), and AE = 2·(AC), we have by sin rule;
AE/(sin(m∠ADE)) = 2·(AC)/(sin(m∠ABC)) = AE/(sin(m∠ABC))
∴ (sin(m∠ADE)) = (sin(m∠ABC))
m∠ADE) = m∠ABC).
3979.00-781.00= 3198.00 is how much money was taken in at each game
Answer:
Step-by-step explanation:
125,000×1.05⁷ ≈ 175,888
Answer:
See image
Step-by-step explanation:
To graph the inequality
-2x + y >= -10
Change it to y = mx + b form, use a solid line (bc of the "or equal to" underline)
y >= 2x - 10 We have y-intercept at -10 and slope 2/1, shading goes above the line.
The other graph is an absolute value graph; it has a v-shape. The 7 makes it stretched 7 times taller (and skinnier) the -4 by the x shifts the whole graph to the right 4 units. The -4 at the end of the equation shifts the whole graph down 4 units. See image. The shading goes above the V (kind of looks like inside)
The solution to the system is where the shading of the two overlap. It is mostly the shading for the absolute value graph except for a tiny triangle at the bottom. See image.
Answer:
Lagrange Theorem
Step-by-step explanation:
The Lagrange Theorem:
Let G be a finite group and T be a subgroup of G. Then the order of T divides the Order of group G.
This can be written as:
If
, then,
.
Possible Subgroups
Now, we are given a group with order 5. We have to find all possible subgroups.
So, the possible subgroup are: groups with order 1, group with order 5
We are given a group with order 6.
Possible subgroups are: group of order 1, group of order 2, group of order 3 and group of order 4.