The given angles are 95° and 135, and the value of x is 40.
<h3>What is the angle sum property?</h3>
The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.
The given angles are 95° and 135.
Let's consider the adjacent angle of 135 to be z.
So, as we can see that both angles make a linear pair.
z + 135 = 180
z = 180 - 135
z = 45
Let's consider the interior angle to be y.
then,
y = 95 ( vertically opposite angle)
Now, The angle sum property
x + y + z = 180
x = 180 - 95 + 45
x = 40
Thus, the value of x is 40.
Learn more about the triangles;
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Answer:
When we stand our muscles are working a little bit, and if we're moving around, our muscles are working even more, so we sit down to take a little bit of a break, but the problem starts when we sit down for too long. ... If we sit for too long, it's not good for our heart.
Step-by-step explanation:
hope this helps
Answer:
45
Step-by-step explanation:
OK, first we turn the variables into into the actual values:
The equation will look like this:
(2)5 + (-5)(-7)
Now its easier to solve! Lets solve (2)5!
2 * 5 = 10
The equation looks like:
10 + (-5)(-7)
We will also solve (-5)(-7). Remember that a negative number times a negative number is positive!
-5 * -7 = 35
Lets finish the rest:
10 + 35 = 45.
Hope this is correct and have a nice day!
Answer:
a) To determine the minimum sample size we need to use the formula shown in the picture 1.
E is the margin of error, which is the distance from the limits to the middle (the mean) of the confidence interval. This means that we have to divide the range of the interval by 2 to find this distance.
E = 0.5/2 = 0.25
Now we apply the formula
n = (1.645*0.80/0.25)^2 = 27.7 = 28
The minimum sample size would be 28.
b) To answer the question we are going to make a 90% confidence interval. The formula is:
(μ - E, μ + E)
μ is the mean which is 127. The formula for E is shown in the picture.
E = 0.80*1.645/√8 = 0.47
(126.5, 127.5)
This means that the true mean is going to be contained in this interval 90% of the time. This is why it doesn't seem possible that the population mean is exactly 128.
