Answer:
The two numbers are x = 8 and y = 5
Step-by-step explanation:
Let the two numbers be x and y
The difference of two numbers is 3 is represented as:
x - y = 3------------------Equation 1
Their sum is 13 is represented as:
x + y = 13----------------Equation 2
x - y = 3------------------Equation 1
Using method of Elimination by subtracting Equation 1 from Equation 2
x-x + y-(-y) = 13 - 3
2y = 10
y = 10/2
y = 5
Substituting y = 5 in Equation 2
x + 5 = 13
x = 13 - 5
x = 8
∴ The two numbers are x = 8 and y = 5
The measure of the two vertical angles is 15°
The two vertical angles have measures (4x-21)° and (x+6)°
Note that:
The measure of two vertical angles are equal
Therefore, equate (4x-21)° and (x+6)° and solve for x
(4x-21)° = (x+6)°
4x - 21 = x + 6
Collect like terms
4x - x = 6 + 21
3x = 27
x = 27/3
x = 9
Substitute x = 9 into 4x - 21
4x - 21 = 4(9) - 21
4x - 21 = 15°
Substitute x = 9 into x + 6
x + 6 = 9 + 6
x + 6 = 15°
Learn more here: brainly.com/question/25600404
Answer:
33%
Step-by-step explanation:
16 is one third of 48
Answer:
HOK =167
Step-by-step explanation:
HOK = HOI +IOJ + JOK
= 44+46+ 77
=167