28 + 29 + 42 = 28 + 42 + 29 = 99
Commutative property: a + b = b + a
Answer:
28 = x
Step-by-step explanation:
62 = angle BAC since they are vertical angles
angle ABC is a right angle since KL is perpendicular to FG
Adding the angles in triangle ABC
BAC + ABC + BCA = 180
62 + 90 + BCA = 180
152 + BCA = 180
BCA = 180-152
BCA = 28
BCA = x since they are vertical angles
28 = x
Answer: The common ratio is -1/3
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Work Shown:
Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.
r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4)
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3
This means you multiply each term by -1/3 to get the next term
For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9
We don't know which side your triangle is sitting on, so the 'height'
could be any one of three values.
Here are the two simple tools that tell you everything you want to
know about a 30°-60°-90° triangle. These are worth memorizing:
-- The side opposite the 30° angle is 1/2 of the hypotenuse.
-- The side opposite the 60° angle is 1/2 of the hypotenuse times √3 .
I memorized them exactly 60 years ago. They've been very useful,
and as far as I know, they haven't changed.
Answer:
Step-by-step explanation:
Finding max/min: There are two ways to find the absolute maximum/minimum value for f(x) = ax2 + bx + c: Put the quadratic in standard form f(x) = a(x − h)2 + k, and the absolute maximum/minimum value is k and it occurs at x = h. If a > 0, then the parabola opens up, and it is a minimum functional value of f.
