Answer:

Step-by-step explanation:
Given angle is 110°
Now,
![4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ]](https://tex.z-dn.net/?f=4%3D2%5C%2C%5C%2Cand%5C%2C%5C%2C4%3D5%5C%2C%5C%2C%3B%5Bvertical%5C%2C%5C%2Cangle%5C%2C%5C%2Cand%5C%2C%5C%2Ccorresponding%5C%2C%5C%2Cangle%5C%2C%5C%2Crespectively%20%5D)
From the figure,
![4=110^{0}\,\,;[alternate\,\,angle]](https://tex.z-dn.net/?f=4%3D110%5E%7B0%7D%5C%2C%5C%2C%3B%5Balternate%5C%2C%5C%2Cangle%5D)

And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°
1 = 3 = 180° - 110° = 70°
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For proof of 3 divisibility, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.
<h3>
Integers divisible by 3</h3>
The proof for divisibility of 3 implies that an integer is divisible by 3 if the sum of the digits is a multiple of 3.
<h3>Proof for the divisibility</h3>
111 = 1 + 1 + 1 = 3 (the sum is multiple of 3 = 3 x 1) (111/3 = 37)
222 = 2 + 2 + 2 = 6 (the sum is multiple of 3 = 3 x 2) (222/3 = 74)
213 = 2 + 1 + 3 = 6 ( (the sum is multiple of 3 = 3 x 2) (213/3 = 71)
27 = 2 + 7 = 9 (the sum is multiple of 3 = 3 x 3) (27/3 = 9)
Thus, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.
Learn more about divisibility here: brainly.com/question/9462805
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Answer:
10.315
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let's solve 2x^2 = -X^2 - 5x - 1. Consolidate all terms on the left side and write 0 on the right side:
3x^2 + 5x + 1 = 0. This is a quadratic equation. Let's solve it for x using the quadratic formula:
a = 3, b = 5, c = 1, and so the discriminant is b^2 - 4ac = 5^2 - 4(3)(1) = 13. Because the discriminant is positive, we know that there are two distinct, real roots; the graphs of y = 2x^2 and y = x^2 - 5x - 1 intersect in two places whose x-coordinates are the real roots mentioned above.
Answer A is not correct as stated, but would be correct if we were to replace "the y-coordinates" with "the x-coordinates."
Answer C would be correct if and only if we write y = x^2 - 5x - 1.
Answer:
The directrix is y=6 and focus is (0,4)
The equation of the parabola is,
20-4y=x²