B. 2 …………………………,.,,,,,.,.,.,.,.,,,.,
Answer:
- arc BF = 76°
- ∠M = 31°
- ∠BGE = 121°
- ∠MFB = 111°
Step-by-step explanation:
(a) ∠FBM is the complement of ∠FBC, so is ...
∠FBM = 90° -52° = 38°
The measure of arc BF is twice this angle, so is ...
arc BF = 2∠FBM = 2(38°)
arc BF = 76°
__
(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...
∠M = (1/2)(138° -76°) = 62°/2
∠M = 31°
__
(c) arc FC is the supplement to arc BF, so has measure ...
arc FC = 180° -arc BF = 180° -76° = 104°
∠BGE is half the sum of arcs BE and FC, so is ...
∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2
∠BGE = 121°
__
(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...
∠MFB = 180° -∠M -∠FBM = 180° -31° -38°
∠MFB = 111°
Considering the scatter plot, the function that best fits the data is given by:
f(x) = 3x².
<h3>What is the function that best fits the data?</h3>
To find the function that best fits the data, we have to look at the scatter plot, which gives a series of points (x,y).
We have that:
- When x increases, y also increases, hence the function is increasing, which removes the option f(x) = -3x.
- The increase looks "faster" than a linear increase, hence a quadratic model should be used, thus removing option f(x) = 3x.
Hence the function that best fits the data is given by:
f(x) = 3x².
More can be learned about scatter plots at brainly.com/question/22968877
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