<u>Given</u>:
The given triangle is a similar triangle.
The length of the hypotenuse is 18 units.
The length of the leg is a.
The length of the part of the hypotenuse is 16 units.
We need to determine the proportion used to find the value of a.
<u>Proportion to find the value of a:</u>
We shall find the proportion to determine the value of a using the geometric mean leg rule.
Applying the leg rule, we have;

Substituting the values of hypotenuse, leg and part, we get;

Thus, the proportion used to find the value of a is 
Hence, Option D is the correct answer.
Answer:

Step-by-step explanation:
We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.
the distance formula is generally written as:

for the side AB: A(-2,2,3) and B(4,-4,3)



for the side BC: B(4,-4,3) and C(7,6,4)


for the side CA: C(7,6,4) and A(-2,2,3)


Now we all the sidelengths:
to find the perimeter we need to just sum the three side lengths:



this is the perimeter of triangle ABC
The answer is 15 to the question
Answer:
please give me a brainless 0
Inequality :
α1+(n−1)a−(⌊n÷m⌋×(a−b))≥x
The following is as far as I get:
α1+(n−1)a−(⌊n÷m⌋×(a−b))≥x
(n−1)a−(⌊n÷m⌋×(a−b))≥x−α1
n−1−(⌊n÷m⌋×(a−b))≥x−α1a
n−(⌊n÷m⌋×(a−b))≥x−α1a + 1
Step-by-step explanation: