Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
Answer:
(1,1)
Step-by-step explanation:
use the midpoint formula to find the midpoint of the line segment
Answer:
25 degrees
Step-by-step explanation:
Haha, awesome! Just did a problem like this!
All angles add up to 180, so set it up like this:
2x + 1 + 5x + 5 + 90 = 18
Combine like terms.
7x + 96 = 180
7x = 84
x = 12
Plug x back into 2x + 1
2(12) + 1
24 + 1
= 25 degrees
While we're at it...
5(12) + 5
60 + 5
= 65 degrees (for the other angle)
25 + 65 + 90 = 180
Math checks out & we're good to go!
Hope this helped. :) <3
Answer:76jj
Step-by-step explanation:
Answer:

Step-by-step explanation:
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