(7 + 7)² = 14² = 196
(7 + 6)² = 13² = 169
196 > 169
Therefore (7 + 7)² > (7 + 6)²
Could've deducted without the math but might as well show the work.
Answer:
Step-by-step explanation:
In the quadratic formula x = -b±√b²-4ac/2a, the expression b²-4ac inside the square root is called the discriminant. The discriminant is the function that determines the nature of the roots of the equation even without the constant a, b and c
If b²-4ac > 0, the roots of the equation will be real and distinct
If b²-4ac < 0 the roots of the equation will be complex number
If b²-4ac = 0 the roots of the equation will be real and the same
9 and 10
11 and 12
13 and 14
15 and 16
the square root of 125 is 11.18 so therefore it falls between 11 and 12
Hence, Option B: 105 is the correct answer
Further explanation:
We can see that when a traversal intersects two parallel lines alternate angles and corresponding angles are form.
In the given diagram,
7x and 5x+30 are alternate interior angles
while
y and 7x are corresponding angles.
When a traversal intersects two parallel lines, the alternate interior angles and the corresponding angles are equal.
So,
As we know thaty=7x
so y=105°
Hence, Option B: 105° is the correct answer
Keywords: Parallel lines, Alternate angles, Corresponding angles
Learn more about parallel lines at:
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