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
I believe AB=18.4 hope this helps you in your math class.
Answer:
2x-7
-14
3x
x = 1
Step-by-step explanation:
Answer:
20.0%
Step-by-step explanation:
The last 30 presidents of America starts from the 16th president, Abraham Lincoln and ends with the current and 45th president, Donald Trump.
The presidents that are 60 and above years during this period include
Donald Trump, Goerge H. W. Bush, Roland Regan, Gerald Ford, Dwight D. Eisenhower and Harry S. Truman.
Making 6 of them out of 30
The percentage is given by
Number of presidents aged 60 and above×100/Total number of presidents
6×30/100=20%
