Step-by-step explanation:
<u>Statement Reason </u>
∠5 and ∠7 are vertical angles Vertical angles theorem
m∠5 = m∠7 Definition of vertical angles
m∠5 = -2(3x - 4), m∠7 = 3(x - 3) - 1 Given
-2(3x - 4) = 3(x - 3) - 1 Substitution property of equality
-6x + 8 = 3x - 9 - 1 Distributive property
3x + 6x = 8 + 10 Addition property
9x = 18 Addition property
x = 18/9 Division property
x = 2 Proved
The question "What is the LCM and GCF of 36 and 81?" can be split into two questions: "What is the LCM of 36 and 81?" and "What is the GCF of 36 and 81?"
In the question "What is the LCM and GCF of 36 and 81?", LCM is the abbreviation of Least Common Multiple and GCF is the abbreviation of Greatest Common Factor.
To find the LCM, we first list the multiples of 36 and 81 and then we find the smallest multiple they have in common. To find the multiples of any number, you simply multiply the number by 1, then by 2, then by 3 and so on. Here is the beginning list of multiples of 36 and 81:
Multiples of 36: 36, 72, 108, 144, 180, 216, etc.
Multiples of 81: 81, 162, 243, 324, 405, 486, etc.
The least multiple on the two lists that they have in common is the LCM of 36 and 81. Therefore, the LCM of 36 and 81 is 324.
Answer: y= 6x +14 and you would be able to feed 6 people cause when the graph starts the first 4 already counted for and since 6 is needed for each addition person that would mean 2 more people can be fed cause 26-14=12 and 12 divided by 6 is 2
Slope intercept form is y= m(x) + b
Answer:
answer y=x-4
Step-by-step explanation:
slope intercept from is y=mx+b
m=slope b=y intercept
convert current equation to slope intercept
y-4=x-8
add 4 to both sides
y=-x-4
Answer:
<h3>
D. (x - 3)² = 17</h3>
Step-by-step explanation:
