Which situation is represented by the inequality? 3x + 5 > 2x + 15
1 answer:
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Answer:
Step-by-step explanation:
4) parallel because 118° is a supplement to 62° and the corresponding angles are both 118°
5) NOT parallel. The labeled angles sum to 120° and would sum to 180° for parallel lines.
6) NOT parallel. see pic.
If parallel, extending a line to intersect ℓ₁ makes an opposite internal angle which would also be 48°. The created triangle would have its third angle at 180 - 90 - 48 = 42° which is opposite a labeled 48° angle, which is false, so the lines cannot be parallel
7)
b = 78° as it corresponds with a labeled angle above it
a = 180 - 78 = 102° as angles along a line from a common vertex sum to 180
f = is an opposite angle to 180 - 78 - 44 = 58° as angles along a line from a common vertex sum to 180
e = 180 - 90 - 64 = 26° as angles along a line from a common vertex sum to 180
c = 58° as it corresponds with f
d = 180 - 58 = 122° as angles along a line from a common vertex sum to 180
<h2>Hello!</h2>
The answer is:
Center: (-4,-4)
Radius: 2 units.
<h2>Why?</h2>To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:
Where:
"h" and "k" are the coordinates of the center of the circle and "r" is its radius.
So, we need to complete the square for both variable "x" and "y".
The given equation is:
So, solving we have:
Now, we have that:
So,
Center: (-4,-4)
Radius: 2 units.
Have a nice day!
Note: I have attached a picture for better understanding.