The answer should be 31. You add 5, and 6 together which gives you 11. You take 42 - 11, and your answer is 31. Hope this helps. :)
Answer:
The triangles are similar by AA Similarity Postulate
Step-by-step explanation:
we know that
In the triangle ABC
m∠CAB=65°
m∠ABC=m∠CAB
so
m∠ABC=65°
<em>Find the measure of angle ACB</em>
Remember that
The sum of the internal angles in a triangle must be equal to 180 degrees
so
m∠ACB+m∠ABC+m∠CAB=180°
substitute the values
m∠ACB+65°+65°=180°
m∠ACB=180°-130°=50°
In the triangle DEF
m∠FDE=m∠CAB=65°
m∠DFE=50°
<em>Find the measure of angle DEF</em>
Remember that
The sum of the internal angles in a triangle must be equal to 180 degrees
so
m∠DEF+m∠FDE+m∠DFE=180°
substitute the values
m∠DEF+65°+50°=180°
m∠DEF=180°-115°=65°
therefore
m∠CAB=m∠FDE=65°
m∠ABC=m∠DEF=65°
m∠ACB=m∠DFE=50°
so
The three internal angles of the triangles are congruent
therefore
The triangles are similar by AA Similarity Postulate
Answer: No
Explanation:<em> </em>Here, we want to decide if 5 is a solution
for the equation 47 = 6x.
We can do this by simply plugging in 5 for <em>x</em>. If the statement holds true when 5 is plugged in for <em>x</em>, then 5 is a solution.
Plugging in 5 for <em>x</em> we have 47 = 6 (5).
6 (5) is equal to 30 so we have 47 = 30.
Since 47 and 30 are not equal, the statement 47 = 30 is not true.
Since 47 ≠ 30, this is a false statement which means 5 is not a solution for the equation 47 = 6x.
The correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
<h3>What is mean?</h3>
Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
The difference between the mean times is about 16 times the mean absolute deviation of the data set.
127.9-127.4=0.5
0.26-0.23=0.03
0.5/0.03=16.6666
We can see that the ratio of the mean times difference is 16 times the mean deviation by solving the above.
Therefore the correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.
To know more about mean follow
brainly.com/question/968894
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Answer:
-3/5 = -0.6
-5/8 = -0.625
Step-by-step explanation:
I most definitely did not use a calculator.