Answer:
MB // HG by the converse of the Corresponding Angles Theorem ⇒ C
Step-by-step explanation:
Two lines are parallel if intersected by a line and formed one of these types of angles.
- Corresponding angles equal in measures (shaped letter F)
- Alternate angles equal in measures (shaped letter Z)
- Interior supplementary angles, the sum of their measures is 180° (shaped letter U)
In the given figure, there are 4 lines intersected
∵ Lines MB and HG intersected by line BG
∵ There are two angles marked by the same mark
∴ They are equal in measures
∵ They are in the corresponding position
∴ Lines MB and HG are parallel
∴ MB // HG by the converse of the Corresponding Angles Theorem
The solutions for the given system of equations are:
(3, 0), (-4, 7).
<h3>
How to solve the given system of equations:</h3>
Here we have the system:
x + y = 3
y = x² - 9
To solve this, we can replace the second equation into the first one, so we get:
x + (x² - 9) = 3
Now we can solve this quadratic equation for x, we need to solve:
x² + x - 12 = 0.
The solutions are given by Bhaskara's formula:
Then the two solutions are:
x = (-1 + 7)/2 = 3
x = (-1 - 7)/2 = -4
To get the y-values correspondent, we can evaluate the linear equation in these two values:
y = 3 - x.
For x = 3:
y = 3 - 3 = 0
For x = -4:
y = 3 + 4 = 7
Then the two solutions are: (3, 0), (-4, 7).
If you want to learn more about systems of equations:
brainly.com/question/13729904
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3.8 Is the correct answer
Answer: i got you my boi answer is x > -3
Step-by-step explanation:
It would be a 3:2 chance the first one picked was green and 5:4 chance the second is also green. Hope this helps.
