1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.
2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.
3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.
4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.
5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.
6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.
Answer:
m+2n+2p=16 tokens or m+2(n+p)= 16 tokens
Step-by-step explanation:
First, we must understand how many tokens they have.
Janie played the 3-token game four times, so she used 12 tokens (3n x 4 = 12). Jasmine played the 4-token game five times, so she used 20 tokens (4p x 5 = 20).
Added up, the girls have 32 tokens (12+20 = 32 tokens (t)).
In order to play a round of the three games, 9 tokens are required (m+n+p = 9 / 2+3+4 = 9) by each girl. (32t-18t=14) 14 tokens are left after taking a ride in every game each. 14 left divided by 2 will leave 7 more tokens for each girl. You can split these 7 tokens into an n+p = 7 tokens
Thus,
Each girl can ride as follows:
m+2n+2p=16 tokens or m+2(n+p)= 16 tokens
Answer:
Just practice ,know different ways of solving it ,gain experince ,be smart and skilled.
Step-by-step explanation:
if you want to prove anuthing then go with the concept accoeding to the nature of the problem and there are almost many ways to prove anything so don't waste your time on way get on to the other ways.
It may not get proved at first time so keep on doing questions and when you have gained experience you know every nature of problems and then you are skilled properly.
Answer:
C. 7790.83 cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We know the radius is 12.3
Using 3.14 for pi (This will give us an approximation, not an exact value)
V = 4/3(3.14) (12.3)^3
=7790.82984 cm^3
