Answer: To solve such problems we need to know about Trigonometry.
Trigonometric functions
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
The value of x is 5√3.
Explanation: Given to us,
the base for the triangle, AB = 5 units,
Hypotenuse for the triangle, BC = 10 units,
∠B = 60°,
Solution
The question can be solved in two ways,
1. Using the Pythagoras theorem,
According to Pythagoras theorem,
substituting the values,
2. using the trigonometric function for ∠B,
for ∠B in ΔABC,
substituting the values,
we know that value of tan(60°) is √3,
Hence, the value of x is 5√3.
Dilation involves changing the size of a line segment
The scale factor is 2
From the question (see attachment), we have the following side lengths



So, the scale factor (k) from AB to A'B' is calculated using the following scale factor formula

This gives

Divide 2.5 by 1.25

Hence, the scale factor is 2
Read more about dilations at:
brainly.com/question/3457976
The point
is on the graph.
<h3>Procedure - Inverse variation</h3><h3 /><h3>Inverse variation model</h3><h3 />
An <em>inverse</em> variation is represented by the following formula:
(1)
Where:
- Independent variable.
- Dependent variable.
- Proportionality constant.
We can eliminate the proportionality constant by creating the following relationship:
(2)
<h3>Determination of another point</h3>
If we know that
,
and
, then the remaining variable is:


The point
is on the graph. (Correct choice: C) 
To learn more on inverse variations, we kindly invite to check this verified question: brainly.com/question/4838941
<h3>Remark</h3>
The statement is incomplete. Complete form is described below:
<em>Point </em>
<em> is on the graph of an inverse variation. Which of the following ordered pair is on the graph? </em><em>A.</em><em> </em>
<em>, </em><em>B.</em><em> </em>
<em>, </em><em>C.</em><em> </em>
<em>, </em><em>D.</em><em> </em>
<em>.</em>