Question

(Giving 70 points! Also brainly, if it isnt a good answer it gets reported!)

Answer 1

Answer: Answers provided below in sequential order.



Step-by-step explanation: UV = 12(3)-1

(They said that x = 3)

UV = 35 (12*3-1)

70 = TV

TU = UV

8x + 11 = 12x - 1

-4x = 10

x = -10/4 or -5/2 (simplified)

TU = 8 (3) + 11

TU = 35 (24+11)

Answer 2

Answer:

First Box: 3

Second Box: 35

Third Box: 70

Fourth Box: UV

Fifth Box: 8x+11

Six Box: -12

Seventh Box: 3

Eighth Box: 3

Ninth Box: 35

Step-by-step explanation:

For the first and second box we simply write in the value of x which is 3, the solve the equation.

$UV= 12(x)-1\\UV =12(3)-1$

$12(3)-1=35=UV$

First Box: 3

Second Box: 35

The third box is then asking for the value of TV.

Well right above it says

$35+35=TV\\35+35=70$

Third Box: 70

Since we know U is the midpoint, we can say TU = UV. We know this because the line segments TU and UV both have a line going through the middle of them, these lines tell us that the line segments are the same value/length.

$TU=UV$

Fourth Box: UV

The line segments TU and UV are both represented by equations. However we now know that these two equations end up equaling each other due to the reasoning behind box four. So set their equations equal to each other.

$TU=UV\\8x+11=12x-1$

Fifth Box: 8x+11

Now for the sixth and seventh box we need to find the x value.

Lets begin by combining the x values.

$8x+11=12x-1\\-4x+11=-1$

Now that the x values have been combined, lets combine the constants.

$-4x+11=-1\\-4x=-12$

Sixth Box: -12

Now we need to get the x alone to find its value, we do this by diving -12 by -4

$-4x=-12\\-12/-4=x$

From here we simply solve -12/-4 to find x

$-12/-4=x\\x=3$

Seventh Box: 3

TU = 8x + 11 and we know that x = 3, it's then asking us to substitute x for 3 in the equation.

$TU=8(3)+11$

Eighth Box: 3

From there we simply solve for the equation to get our final box and value for TU.

$TU=8(3)+11\\TU=24+11\\TU=35$

Ninth Box: 35