The three inside angles of a triangle equal 180 degrees,
If one angle is 110, subtract that from 180 to find the total of the other two.
180 - 110 = 70
The other two angles equal 70 degrees.
5x + y = 15
y = -5x + 15
Substituting y= -5x+15 from first equation into second equation:
3x + 2y = 16
3x + 2·(-5x + 15) = 16
3x - 10x + 30 = 16
-7x + 30 = 16
7x = 30 - 16 = 14
x = 2
Substituting x=2 into the first equation:
5x + y = 15
5(2) + y = 15
10 + y = 15
y = 15 - 10
y = 5
So your final answers are x=2 and y=5.
Answer:
p = 132 - 30d
Step-by-step explanation:
Here, we can plug in x = 6 into the equation provided at the end of the problem.
p = 6[25 - (3 +5d)]
p = 150 - 18 - 30d
p = 132 - 30d
Answer:
1/2
Step-by-step explanation:
3 * 1/6 = 3/6
Which can simplify to 1/2 if you divide the top and bottom by 2.
Answer:
No
Step-by-step explanation:
Let's find the slope of both lines and then compare these slopes:
From (-4,3) to (-5,4) entails a decrease of -1 in x and an increase of 1 in y. Thus, the slope is m = rise / run = 1/(-1) = -1.
From (0,1) to (5,0) entails an increase of 5 in x and a decrease of 1 in y. The slope here is m = rise / run = -1/5.
For these lines to be parallel, their slopes must be the same. That is not the case here, so NO, the lines are not parallel.
