For line l parallel to line m, the interior angles on the same side of the transversal should add upto 180° or in better words, they must be supplementary.
So, we can write that,
(2x + 6)° and 130° are supplementary.
⇛ 2x° + 6° + 130° = 180°
⇛ 2x° + 136° = 180°
⇛ 2x° = 44°
⇛ x° = 22°
The value of x for which line l is parallel to line m,

And we are done !!
#CarryOnLearning....
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Answer:
d=20
Step-by-step explanation:
To find the distance between 2 points we use the distance formula
d = √(x2 - x1)²+(y2 - y1)²
The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).
Substitute the given points into the distance formula.
d = √(4 + 8)²+(10 +6)²
d = √144+252
d= √400
d = 20
<h3>
Answer: C. p(x) = -5x-x^2</h3>
This is the same as p(x) = -x^2-5x
The degree is the largest exponent to determine what kind of polynomial we're dealing with.
For choice C, the degree is 2, so we have a quadratic here.
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Extra info:
- Choice A is cubic because the largest exponent is 3 (degree = 3)
- Choice B is a quartic of degree 4
- Choice D is the same story as choice B
Answer:
............. 70°................
Step-by-step explanation:
Angle at Center = 2 * Angle at Circumference
Therefore B = 2A.
When B = 100°, A = 100°/2 = 50° (B),
When A = 48°, B = 2(48°) = 96°. (C)