a. Using the vertical angles theorem, m∠7 = 47°.
b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.
c. x = 69
<h3>What is a Linear Pair?</h3>
A linear pair is two angles whose sum equals 180°.
Given the image, where:
m∠5 = 47°
a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:
m∠7 = m∠5 = 47°
m∠7 = 47°
b. m∠6 = (2x - 5)°
m∠6 + m∠5 = 180° (linear pair)
Substitute
2x - 5 + 47 = 180 (equation that can be used to solve x)
c. 2x - 5 + 47 = 180
2x + 42 = 180
2x = 180 - 42
2x = 138
x = 138/2
x = 69
Learn more about linear pair on:
brainly.com/question/3768841
Answer:
feet, or 14.14 feet
Step-by-step explanation:
Use the arc length formula:
s = rθ
To use the formula, we have to convert the central angle to radians.
90° is equivalent to
radians, so plug this and the radius into the formula:
s = rθ
s = (9)(
)
s = 
So, the length of the arc is
feet, or approximately 14.14 feet
I believe it’s 90 I’m not sure but
Answer: −
4
y
x
+
6
x is the correct answer.
Answer:
<em>As mean and median are equal, so the data will be in normal distribution in shape of a symmetrical "bell curve".</em>
Step-by-step explanation:
The given data: 10 5 8 10 12 6 8 10 15 6 12 18
<u>Mean is the simple average of all data</u>. As, there are total 12 data, so the Mean will be: 
For finding the Median, <u>first we need to rearrange the data according to the numerical order and then identify the middle value</u>. So........
5 6 6 8 8 10 10 10 12 12 15 18
Here the middle values are 10 and 10. So, the median will be the average of those two middle values.
Thus, Median 
We can see that, <u>the relationship between the mean and the median is "they are equal"</u>. So, the data will be in normal distribution and the shape will be symmetrical "bell curve".