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°
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(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°
The median of the data is 6 and the IQR will be 4.
<h3>What are median and IQR?</h3>
The median is the number separating the greater half from the lower half of a sample data in probability theory and statistics. The interquartile range is a measure of statistical dispersion, or the spread of the data, in descriptive statistics.
To calculate the median first arrange the data in the increasing order and then find the mid value.
3,4,6,6,6,8,9,9,12
The middlemost value will be the median.
Median = 6
To calculate the IQR convert the data into lower limits and the upper limits from the median and then calculate the IQR.
3,4,6,6, |6| ,8,9,9,12
Lower Upper
Q1 = (4 + 6)/2 = 5
Q2 = ( 9+9)/2 = 9
IQR = 9 - 5 = 4
Therefore, the median of the data is 6 and the IQR will be 4.
To know more about IQR follow
brainly.com/question/17083142
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228,643 to the nearest hundered is 228,600.
15 is equal to 15, 24 is greater than 15 and so is 32, so c, d, and e are correct
Answer:
x=-82
subtract 74 from -130 and then divide -164 by two
