<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:
x is 9
Step-by-step explanation:
6x+10=2x+26
-2x -2x
4x+10=26
+10 +10
4x=36
--- ---
4 4
x=9
The sum of the squares of their ages is; 5x²
<h3>How to Solve Algebraic Word Problems?</h3>
We are told that Maria is twice the age of Miriam.
Now, of the age of Miriam is x, then we can say that;
Age of Mariam = x
Age of Maria = 2x
Now, we want to find the sum of the squares of their ages. Thus, this is expressed as;
x² + (2x)²
= x² + 4x²
= 5x²
Read more about Algebraic Word Problems at; brainly.com/question/13818690
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The complete question is;
Express in algebraic language: the sum of the squares of the ages of Maria and Miriam, if it is known that Maria is twice the age of Miriam.
Answer:
C (let me know if I am wrong!)
Step-by-step explanation:
We need to solve the equation.
If 5x+y = -24, then -24 - 5x = y.
x+ 3(-24-5x) = -2
= -14x-72=-2
= -14x-72+72=-2+72
= -14x=70
= -5
If x = -5, then -5 + 3y = -2.
3y = -2+5
3y = 3
y=1
So the answer is C.
Add 4 to both sides
x - 4 < -3
x-4+4 < -3+4
x < 1
To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.
The graph is shown below.