Step-by-step answer:
Given an enlargement from preimage (ABC) to image (A'B'C').
Need to find scale factor.
Solution:
Scale factor = linear size of image / linear size of preimage.
From the accompanying diagram, we see that
L(preimage) = AC = 4 units
L(image) = A'C' = 12 units
Therefore
Scale factor = L(image) / L(preimage) = 12 / 4 = 3
Answer:
a-5b = 8
a = 8+5b ⇒ this is the solution
Answer:
First option and Fourth option.
Step-by-step explanation:
To solve this exercise you need to use the following Trigonometric Identity:

In this case you know that:

Since triangle ABC is similar to triangle DEF:

Let's begin with the triangle ABC.
You can identify that:

Then, substituing values, you get:

In triangle DEF, you know that:

So, substituing values, you get:

Answer:
all real numbers
Step-by-step explanation:
The height of a triangle is 9 cm
<h3>
What is Triangle?</h3>
- A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
- In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
- In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
- All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
- Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.
given that
let the height of the triangle be x
then the width is x-3
Area = 
54 = x(x -3)

x = 9
height = 9 cm
width = 6cm
Therefore, the height of a triangle is 9 cm.
To learn more about the triangle with the given link brainly.com/question/11897796
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