Name the property illustrated by each question. 5x · (4y + 3x) = 5x · (3x + 4y)
2 answers:
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The value of .
We know that,
➪ 125° + + 30° = 180°
➪ + 155° = 180°
➪ = 180° - 155°
➪ = 25°
Therefore, the value of is 25°.
Now, the three angles of the triangle are 125°, 25° and 30°.
✒ 125° + 25° + 30° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
Answer:
Outside the circle
Step-by-step explanation:
Let's first write the equation of this circle: , where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:
NE =
The radius is √34, which means that r² = 34. So, our equation is:
(x + 6)² + (y + 2)² = 34
Plug in -10 for x and -7 for y:
(x + 6)² + (y + 2)² = 34
x² + 12x + 36 + y² + 4y + 4 = 34
x² + 12x + y² + 4y + 40 = 34
x² + 12x + y² + 4y + 6 = 0
(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7
Since 7 > 0, we know that H lies outside the circle.
Answer:
The midpoint is (2.5,-6) or written as a fraction (, -6)
Step-by-step explanation: