Answer:


Step-by-step explanation:
Note that the entire segment RT is the combined lengths of RS and ST. So:

We know that RT is 108, RS is (9y+5), and ST is (3y+7). Substitute:

On the right, combine like terms:

Add:

Subtract 12 from both sides. The right cancels:

Divide both sides by 12:

So, the value of y is 8.
To find RS and ST, substitute 8 for y. So:

Substitute 8 for y:

Multiply:

Add:

Do the same for ST:

Substitute 8 for y:

Multiply:

Add:

|DF| = |DE| + |EF|
|DF| = 9x -36
|DE| = 47
|EF| = 3x+10
Substitute:
9x - 39 = 47 + 3x + 10
9x - 39 = 3x + 57 |+39
9x = 3x + 96 |-3x
6x = 96 |:6
x = 16
Put the value of x to the equation |EF| = 3x + 10
|EF| = (3)(16) + 10 = 48 + 10 = 58
Answer: |EF| = 58
Answer:
100
Step-by-step explanation:
The space inside a rectangle is the area of the rectangle.
The Area of a rectangle is length times width.
10*10=100
The total of her first six quizzes is 75*6 = 450
Let her seventh score be x
The total of her seven quizzes be 450+x
Then, (450+x)/7 = 77
x = (77*7) - 450 = 89
Her seventh score is 89
x =