7. find de ( triangle mid-segment theorems)

45 units

Step-by-step explanation:

See the given diagram with the question here.

The point D and point E are the midpoints of line segments AC and BC respectively.

Therefore, the length of the line joining points D and E will be half of length AB.

Now, given that AB = 11x - 25 and DE = 4x + 1.

Hence, ( 11x - 25 ) = 2 ( 4x + 1 )

⇒ 3x = 33

⇒ x = 11

Therefore, length DE = 4x + 1 = 4 ( 11 ) + 1 = 45 units. (Answer)

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

the number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.

spinner 1 spinner 2

1                     1

1                     2

1                     3

1                     4

2                   1

2                   2

2                   3

2                   4   = not 1, and 4

3                   1

3                   2

3                   3

3                   4 = not 1, and 4

only 2 outcomes have passed the given condition.

step-by-step explanation: