Answer: DEb = 26°
Step-by-step explanation:
<u>Given information</u>
CEF = 7x + 21
FEB = 10x - 3
<u>Given expression deducted from the definition of the bisector</u>
FEB = CEF
<u>Substitute values into the expression</u>
10x - 3 = 7x + 21
<u>Subtract 7x on both sides</u>
10x - 3 - 7x = 7x + 21 - 7x
3x - 3 = 21
<u>Add 3 on both sides</u>
3x - 3 + 3 = 21 + 3
3x = 24
<u>Divide 3 on both sides</u>
3x / 3 = 24 / 3
x = 8
<u>Find the sum of the angle of CEF and FEB</u>
7x + 21 + 10x - 3
=7 (8) + 21 + 10 (8) - 3
=56 + 21 + 80 - 3
=77 + 80 - 3
=157 - 3
=154
<u>Subtract 154 from the straight angle</u>
DEB = 180 - 154
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Answer:
D is the best answer to the question
The answer is 18 beacause 6+6+2+4=18
Intersecting lines are lines that meet at some point while perpendicular lines are intersecting lines that makes a right angle at the point of intersection.
Two line can either be intersecting or perpendicular. It is not possible to have two line that is neither intersecting or parallel.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The 95% confidence interval is 
Step-by-step explanation:
From the question we are told that
The first sample size is 
The first proportion 
The second sample size is 
The second proportion is 
Given that the confidence level is 95% then the level of significance is mathematically represented as
From the normal distribution table we obtain the critical value of 
the value is
Now using the formula from the question to construct the 95% confidence interval we have
Here 
=> 
=> 
and
=> 
=> 
So
