66
32
29
43
Answer:
The correct answer is x = 32.
Step-by-step explanation:
To solve this problem, we must remember the concept of supplementary angles. Two angles that are supplementary together make an angle of 180 degrees (a straight line).
In this case, we can see that inside the triangle, we will have an angle of 80 degrees. We know this because the angle at the top of the triangle is supplementary with the angle measuring 100 degrees, so its measure should be 180-100 = 80 degrees.
On the lower right hand of the triangle, a similar rationale can be applied. The angle inside of the triangle must measure 68 degrees, since it is supplementary to an angle measuring 112 degrees, and 180-112=68.
Finally, to solve this problem, we must remember that the sum of the three interior angles of a triangle should be 180 degrees. This lets us set up the following equation:
80+68+x = 180
Now, we can solve this equation. Our first step is to simplify the left side of the equation by adding together the constant terms.
148 + x = 180
Next, we should subtract 148 from both sides of the equation.
x = 180-148
x = 32
Therefore, the correct answer is x = 32 degrees.
Hope this helps!
First to give correct answer gets the brainliest, and hurry please this is timed
Answer;
equal;
again, we're assuming that both triangles are similar, and thus using proportions.
we do not use the -10, because whatever value "x" may be, can't be negative or even 0.
Answer:
The density curve is symmetric and bell‑shaped.
The normal distribution is a continuous distribution.
Approximately 32% of values fall more than one standard deviation from the mean.
Step-by-step explanation:
Lets take a look at each statement.
The density curve is symmetric and bell‑shaped.
True.
The normal distribution is a continuous distribution.
True, the value of the measure can be a decimal number, like 10.5, for example.
The normal distribution is a discrete distribution.
False. Either the distribution is continuous, or it is discrete. In this case, it is continuous.
The density curve is a flat line extending from the minimum value to the maximum value.
False. This statements describes the uniform probability distribution.
Approximately 32% of values fall more than one standard deviation from the mean.
True. 68% are within 1 standard deviation of the mean and 32% are more than one standard deviation from the mean.
Two parameters define a normal distribution—the median and the range.
False. It is the mean and the standard deviation.