Given:
The base of the given triangle has two part:
Left( left side of the hypotenuse) = 25
Right ( right side of the hypotenuse) = x
The altitude (h) = 60
To find the value of x.
Formula:
By Altitude rule we know that, the altitude of a triangle is mean proportional between the right and left part of the hypotenuse,
Now,
Putting,
left = 25, altitude = 60 and right = x we get,
or, 
[ by cross multiplication]
or, 
or, 
Hence,
The value of x is 144.
Using translation concepts, compared to the graph of the base function g(x) = x², the function f(x) was:
- Vertically stretched by a factor of 4.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the base function g(x) = x² was:
- Multiplied by 4, that is, vertically stretched by a factor of 4.
- Shifted left 9 units, as x -> x + 9.
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
First using the given two points we can find the slope (m) of the line
Thus the slope of given line is 1.
Using slope and a point (0,1) we can write the equation in point slope form as
y - 1= 1(x-0)
y - 1 = x
The above equation is the point-slope form of the equation.
The angle of rotation is the minimum angle in which you rotate a regular polygon such that the figure appears unchanged. The formula for that is dividing one angle of revolution by its number of sides.
Angle of Rotation = 360°/n
Angle of Rotation = 360°/72 = 5°
