Answer:
63-degrees
Step-by-step explanation:
triangle = 180 degrees
46 + 71 + w = 180
117 + w = 180 *subtract 117 from both sides*
w = 63
<h2>
Greetings!</h2>
Answer:
B and E
Step-by-step explanation:
The rules of indicies states:
÷
= 
So 
÷ 
= 
=
So that means B is one of the correct answers.
To find the other correct value, you can divide the two fractions as stated in the question:
by = 
81 is equivalent to 3⁴
So that means E is also correct.
<h2>Hope this helps!</h2>
Before we begin, let's identify what kind of angles these are and are they related in any way?
These angles are both acute and they are both corresponding angles.
Corresponding angles are equal to each other, and we can use this fact to our advantage.
Since they are equal to each other, we can set the equations of 1 and 2 equal to each other. Like so,
1 = 2
83 - 2x = 92 - 3x
Now, we can solve for X by isolating it on one side.
83 - 2x = 92 - 3x
Add 3x to each side: (This basically moves the X on the right side to the left.)
83 - 2x + 3x = 92 - 3x + 3x
83 + x = 92
Subtract 83 on each side to isolate the X.
83 + x - 83 = 92 - 83
x = 92 - 83
x = 9
Therefore, X equals 9. To check our work, we can substitute X for 9.
83 - 2(9) = 92 - 3(9)
83 - 18 = 92 - 27
65 = 65 -
TRUE
So to conclude, Angle 1 is 65 degrees, Angle 2 is 65 degrees, and X equals 9.
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The experiment probabilities are listed below:
One: 2 out of 20 = 2 / 20 = 0.1 or 10%
Four: 5 out of 20 = 5 / 20 = 1 / 4 = 0.25 = 25%
The theoretical probability of any single number is 1 out of 6 or about 17%.
The experimental probability for ones was less than and for fours it was greater than the theoretical probability.
