To measure George's rate of change, we first set out two pairs of independent and dependent data which in this case is the day number and the point
Independent Data: Day 2 Independent Data: Day 4
Dependent Data: 8 points Dependant Data: 12 points
Then we find the difference between the two independent values and the two dependent values
4 - 2 = 2
12 - 8 =4
To find the rate we use the following formula
the difference of dependent value ÷ the difference of independent value =
4 ÷ 2 = 2
Hence the average rate of change is an increase of 2 points a day
Answer:
D. AC ≅ XZ
Step-by-step explanation:
To prove that two triangles are congruent by the Angle-Side-Angle theorem, both triangles must have two corresponding angles that are congruent to each other in each triangle, and also a corresponding included side in each triangle that are congruent.
Thus, we are given that,
<X ≅ <A and <Z ≅ <C, therefore, what is needed is a corresponding included angle in each triangle that are congruent to each other, which are,
AC and XZ
Therefore, what is needed is:
AC ≅ XZ
Answer: 112
Step-by-step explanation:
Since we were given m and n, we plug them into the expression and solve.
-2(-6)+4(-5)² [exponent]
-2(-6)+4(25) [multiply]
12+100 [add]
112
Now, we know that the value of the expression is 112.
Answer:
D, E, C, A, and B.
Step-by-step explanation:
We wish to solve the equation:
Let’s go through this step-by-step.
1) Distributive Property:
2) Commutative Property of Addition (we rearrange them):
3) Combined Like Terms:
4) Addition Property of Equality* (we add <em>-1</em> to both sides):
5) Multiplication Property of Equality (we multiply both sides by -1):
So, our sequence is:
D, E, C, A, and B.
*A better choice would’ve been the Subtraction Property of Equality, but both are equally fine.
He arrives at 9:30 because if you take 8:40 (when dealing with time I like to think of it as a whole number so 8:40 would become 840) then just add 50 minutes to 8:40 (or 840+50 which equals 890 also know as 9:30 because you have to subtract 60 from 90 (because 60 is the limit in time (well technically 59 is)) then add one to 8 like so, which equals 9:30 Enjoy!=)
