The measure of angle P is 29 degrees
The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:
Taking the sum and equating to 180 degrees:
m<M + m<N + m<P = 180 degrees
15x + 5 + 3x + 2 + 5x - 11 = 180
23x - 4 = 180
23x = 184
x = 184/23
x = 8
Get the measure of m<P
m<P = 5x - 11
m<P = 5(8) - 11
m<P = 40 - 11
m<P = 29 degrees
Hence the measure of angle P is 29 degrees
Learn more on angles here: brainly.com/question/25770607
Answer: None
Step-by-step explanation:
y=0 and y=-5 don't have any solutions. When you ask if a pair of equations have a solution, that means there is an intersection of the equations. The 2 equations will meet somewhere, and that is the solution. To find the solution, you set the equations equal to each other.
0≠-5
It is obvious that 0 and -5 are not equal to each other. Therefore, there is no solution. Also, y=0 and y=-5 are horizontal lines that are parallel to each other. They will never meet, which means there will be no intersection. No intersection means no solutions.
Answer: i think its implied
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.
16x-4 + 7x = 180, combine like terms
23x - 4 = 180, add 4 on both sides (isolate variable)
23x = 184, divide 23 on both sides
x = 8
Answer:
Let x represent the number from the sentence.
Step-by-step explanation:
2(x) + 2(1/x) = 20/3
2x + 2/x = 20/3
multiply both sides of the equation by 3x
6x + 6 = 20x
6x - 20x + 6 = 0
6x - 18x - 2x + 6 = 0
6x(x-3 -2(x-3) = 0
(6x-2 = 0 or x-3 = 0
6x = 2 or x = 3
x = 2/6
x = 1/3
Since x represented the number
Therefore x = 1/3 or 3
