Answer:
#5
x = 45
E
Step-by-step explanation:
Theorems you need:
- The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
- The sum of the interior angles of a triangle add up to 180° ((n-2)×180).
#5
Knowing those, you first want to find the triangle's 3 interior angles.
The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.
So m<QSO+m<QSR=180.
Rewrite the equation: m<QSR=180-m<QSO
Plug the known value in: m<QSR=180-(3x-17)
Distribution & Combining like terms: m<QSR=180-3x+17=197-3x
Now solve for the 3 interior angles to equal 180.
(197-3x)+(25)+(2x+3)=180
Combine like terms: 225-x=180
Isolate the x term (-225 to both sides): -x=180-225=-45
Isolate the x (×-1 to both sides):
x=45
The difference between decimal and binary system are-
- The base-10 system, often known as the decimal system, is the oldest and most widely used system of numbers.
- The binary number system, often known as base 2, is used by computers.
<h3>What is decimal system?</h3>
Our daily use of numbers is based on a decimal number system, which uses 10 digits. A number system in mathematics is thought of as the use of digits or symbols to represent numbers.
- The binary number system, the decimal number system, the octal number system, and the hexadecimal number system are the four primary varieties of the number system.
- Given that it was challenging to multiply & divide big numbers by hand in earlier civilizations, this decimal system system is sometimes called as the Hindu-Arabic and Arabic number system.
<h3>What is binary system?</h3>
The base-2 number system is the binary system. That implies that it solely use the digits 0 and 1. The 1 one location is moved to its left into the 2s place when adding one to one, and a 0 is placed in the ones place, yielding the number 10. In such a base-10 system, 10 thus = 10. 10 = 2 in the base-2 system.
- The place values in a base-2 system begin with ones and progress to twos, fours, then eights as one move to its left.
- This is due to the base-2 system's foundation in powers of two.
- A bit is the term for each binary digit.
Therefore, a binary number system only employs two different digits(0 and 1), whereas decimal number system includes ten different digits (ranging from 0 to 9).
To know more about decimal system, here
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