Answer:
x = 78 degrees
Step-by-step explanation:
Let y represent the last angle in the triangle containing 79 degrees and x degrees.
Since the top and bottom lines are parallel, then angle y and angle 23 are alternate angles. Alternate angles are equal. Therefore,
Angle y = 23 degrees
The sum of the angles in a triangle is 180 degrees. It means that
Angle x + angle y + 79 degrees = 180 degrees. Therefore
x + 23 + 79 = 180
x + 102 = 180
Subtracting 102 from the left hand side of the equation and the right hand side of the equation, it becomes
x + 102 - 102 = 180 - 102
x = 78 degrees
Option D x = -8 is correct option.
Step-by-step explanation:
We need to solve the inequality: ![2x](https://tex.z-dn.net/?f=2x%3C14)
Solving:
![2x](https://tex.z-dn.net/?f=2x%3C14)
![x](https://tex.z-dn.net/?f=x%3C7)
All the values less than 7 are included in the number line.
The graph on number line is shown in figure attached.
In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.
while Option D is less than 7 so, x=-8 is correct
Option D is correct.
Keywords: Solving inequalities
Learn more about Solving inequalities at:
#learnwithBrainly
Answer:
Andrew wins the round.
Step-by-step explanation:
Seeing as red is negative and black is positive, that would make the equations as follows, in the order of Abby, Ashley, Andrew, and Anna.
![-9+6 = -3\\7-8 = -1\\-4+4 = 0\\-8-3 = -11](https://tex.z-dn.net/?f=-9%2B6%20%3D%20-3%5C%5C7-8%20%3D%20-1%5C%5C-4%2B4%20%3D%200%5C%5C-8-3%20%3D%20-11)
Meaning that Andrew wins, as his sum is the highest.
Answer:
Step-by-step explanation:
4
3
6
5
2
1
Which statement is true about the potential solutions for this equation?
D. Neither solution is extraneous.