Answer:
x = 0
x = 3
Step-by-step explanation:
Answer:
x = -2 and y = 2
Step-by-step explanation:
We have the following system of linear equations;
y=x+4
y=-2x-2
To solve the above system, we shall be equating the right hand sides of the two equations since we have y's on the left hand side of both equations;
x + 4 = -2x - 2
add 2x on both sides of the equation;
x + 4 + 2x = -2x - 2 + 2x
3x + 4 = -2
subtract 4 on both sides of the equation;
3x + 4 - 4 = -2 - 4
3x = -6
x = -2
We can use the first equation y=x+4 to determine the value of y;
y = -2 + 4
y = 2
The solution to the system of linear equations is thus;
x = -2 and y = 2
Slope of a line parallel to given line is equal to slope of given line.
<u>SOLUTION:</u>
Given that, we have to find the slope of any line that is parallel to a line in the co – ordinate plane.
We know that, slope of a line is tan( angle of a line made between that line and the x – axis)
So, consider two lines which are parallel , then, angles made by both the parallel lines will be equal with the x – axis.
Then, tan( angle by 1st line) = tan( angle by 2nd line)
Which means that, slope of two lines will be equal.
Hence, slope of a line parallel to given is equal to slope of given line.
Answer:
Part A) x = 5
Part B) B = 113 degrees, C = 95 degrees. E = 95 degrees
Step-by-step explanation:
<u>Part A:</u>
We know that the sum of all angles in a pentagon are 540 degrees.
We already have two angles: 113 and 124 which add up to 237.
Make an equation out of all the information.
237 + 98 + 3x + 19x - x = 540
3x + 19x - x = 105
21x = 105
x = 5
<u>Part B:</u>
Substitute 5 for each x
measure B: 98 + 3x = 98 + 3*5 = 98 + 15 = 113
measure C: 100 - x = 100 - 5 = 95
measure E: 19x = 19* 5 = 95
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Answer:
Step-by-step explanation:
