Answer:
M<C = 37 degrees
M<D = 86 degrees
M<DEC = 111 degrees
Step-by-step explanation:
The exterior angle theorem can be measured by the hypotenuse of a 90 degree angle. Since there is no hypotenuse in the matrix, you don't need to make it positive :)
Therefore, after using this theorem, I came to the conclusion that m/C would be 37 degrees, since I calculated the measure of the angle. I used the same tactic on m/D and m/DEC.
I hope this helps :)
A=384 cm^2 hope this helped!
<u>Answer:</u>
<u>Solution:</u>
-x - 6y = -23
<u>Now, let's substitute the value of y into the first equation.</u>
- x + 4y = 17
- => x + 4(3) = 17
- => x + 12 = 17
- => x = 5
<u>Let's check our answer to make sure it is correct.</u>
<u>Check:</u>
- -x - 6y = -23
- => -(5) - 6(3) = -23
- => -5 - 18 = -23
- => -23 = -23
Hence, this is proven correct.
Hoped this helped.
Answer:
Graces expect her Favorite team can win 99 games.
Step-by-step explanation:
Total games needs to be played = 162
So far graces favorite team won 11 games and lost 7 games
Games Won = 11
Games lost = 7
Total games played till now = Games Won + Games Lost = 11 +7 =18
Now we will find the winning percentage of the team.
Winning percentage can be calculated by dividing Games won with total games played till now and the multiplied with 100
Winning Percentage = 
We need to find Total games team can win at same rate.
Games team can win can be calculated by multiplying Total games needs to be played this season with Winning Percentage.
Games team can win = 
Hence Graces can expect her favorite can win approximately 99 games.
Answer:
65
Step-by-step explanation:
They are vertical angles; so angles are congruent
*<em>Vertical angles are always congruent*</em>
<em>Congruent means equal or same.</em>
1) Since they are congruent, you form an equation.
<h2>
145 = 2x + 15</h2>
2) Solve by subtracting 15 from both sides.
<h2>
145 = 2x + 15</h2><h2>
- 15 -15</h2><h2>
----------------------</h2><h2>
130 = 2x</h2>
3) Solve by dividing 2 from both sides
<h2>
130/2 = 2x/2</h2>
4) Simplify
x = 65