X = 16 because the ratio is 4:1
First to Answer:
The answer is 2 1/4
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Work:
9 divided by 4 is 2.25.
0.25 is equivalent to 1/4 and 2.00 is equivalent to 2.
put those together and you get 2 1/4.
2 important fact to know about vertical angles:
• they’re always opposite of each other
• they’re always congruent (equal to each other)
Your answer will be:
C - ∠BEA and ∠DEF
What are the medians for the height and weight distribution, respectively?
A. 170, 179
B. 183, 167
C. 167, 183
D. 179, 170
E. 165, 175
Arranged Height distribution (cm): 154, 158, 159, 163, 165, 167, 167, 174, 177, 178, 181, 186, 191
Arranged Weight distribution (lbs): 157, 163, 168, 173, 173, 177, 183, 184, 187, 189, 190, 192, 193
The median is the middle number. [there are 13 numbers each. hence the respective median are the 7th numbers]
Median Height = 167
Median Weight = 183
The remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
We know that the remainder theorem states that if a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, then the remainder is given by r = p(a).
Here p(x) = f(x) = 2x³ + 2x² - 3x - 3 and q(x) = x - 2. First, we have to find the zero of q(x).
Now, q(x) = 0
i.e. x - 2 = 0
i.e. x = 2.
So, the zero of q(x) is 2, i.e. a = 2.
Then by the remainder theorem,
r = p(a) = f(2) = 2(2)³ + 2(2)² - 3(2) - 3 = 2 × 8 + 2 × 4 - 6 - 3 = 16 + 8 - 9 = 16 - 1 = 15
We can conclude that the remainder when f(x) = 2x³ + 2x² - 3x - 3 is divided by x - 2 is 15.
Know more about the remainder theorem here -
brainly.com/question/11456067
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