Angle bisectors AX and of triangle ABC meet at point I. Find angle C in degrees, if AIB = 109.
1 answer:
Answer:
angle C = 38 degrees
Step-by-step explanation:
Refer to attached figure (sorry, forgot to attach earlier)
Given
AIB = 109
Let
CAX = XAB = x
CBY = YBA = y
XIB = YIA = x+y ........exterior angles
XIB = YIA = 180-109 = 71 ............ sum of angles on a line
=>
x+y = 71
ACB = 180 - 2x -2y ................. sum of angles of a triangle
= 180 - 2(x+y)
= 180 - 2(71)
= 180 - 142
= 38
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- The range of the number line should be 0 to 7 to represent the frequency.
- Four families said they ate out twice the previous week.
- One family said they ate out 5 times the previous week
The dataset is given as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
Rearrange in ascending order
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Represent as a frequency table
Data Frequency
0 2
1 2
2 4
3 0
4 2
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6 1
See attachment for the dot plot
From the attachment, we can see that:
- 4 has a frequency of 2
- 5 has a frequency of 1
Also, the range on the dot plot can be 0 to 7, because it covers the given dataset
Hence, the true statements are: (a), (b) and (c)
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