Point M is the midpoint of FG. Can the value of variable a be determined? Explain. a
G(24,30+3)
M(3,5)
F[b+1 a+2)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is
B. To determine the value of a, set the x- and y-coordinates of G and Fequal to each other and solve for a The value of a is
C. To determine the value of a, divide each coordinate of M by 2. Then add each quotient to the x-and y-coordinates of M. The value of a is
D. Not enough information is given for the value of a to be determined.

A. To determine the value of a, set up and solve a system of equations in two variables. The value of a is 2

Step-by-step explanation:

Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;

M(X, Y) = (x₁+x₂/2, y₁+y₂/2)

X = x₁+x₂/2 and  Y = y₁+y₂/2

From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5

Substituting the given parameters into the formula, we can form up a simultaneous equation and get the value of a.

To determine the value of a, set up and solve a system of equations in two variables

For the X coordinates;

X = x₁+x₂/2

3 = b+1+2a/2

6 = 2a+b+1

2a+b = 5 1  * 1

For the Y coordinates;

5 = a+2+3b+3/2

cross multiply

10 =  a+2+3b+3

collect like terms

a+3b = 10-2-3

a+3b = 5 2  * 2

Solving the resulting  simultaneous equation to get the value of a

multiply equation 1 by 1 and 2 by 2 to have the resulting equations;

2a+b = 5 3  

2a +6b = 10 4

subtract 3 from 4

(2a-2a)+(b - 6b) = 5-10

0-5b = -5

b = -5/-5

b = 1

substitute b =1 into equation 1 to get a;

2a + b = 5

2a + 1 = 5

2a = 5-1

2a = 4

a = 2

From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2

median is the value separating the higher half of a data sample, a population or probablity distribution from the lower half.

step-by-step explanation:

say you have 3,8,7,3,1,9,8 order them from lowest to highest

if orderd it would be 1,3,3,7,8,8,9 now you take away from the lowest and the highest until you end up in the middle.

so you would remove the 1 and 9 leaving you with 5 digits remaining

when you've reached the middle that would be your answer so in this case the answer is 7

if there were two numbers left say 7 and 5 you'd and them together so 12 then divide by 2 witch would equal 6 so the answer would be 6

good luck on that project hoped i you at all