Answer:
x = 12
Step-by-step explanation:
Vertical angles are congruent, so ...
4x = 48°
x = 12° . . . . . . divide by 4
The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0
<h3>What exactly is a function?</h3>
A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Given function;
f(x) = 16x – 30
g(x) = 14x – 6
⇒(f – g)(x) = 0
⇒(16x – 30)-(14x – 6)=0
⇒16x-30-14x+6=0
⇒2x-24=0
⇒x=24/2
⇒x=12
Hence, the value of the x will be 12.
To learn more about the function, refer to:
brainly.com/question/5245372
#SPJ1
The transformations which can lead to the red square image of the blue Square are; Translation, Reflection, Rotation.
<h3>What transformations lead to the image?</h3>
- Translation is when we slide a figure in any direction. The translation of the shape can be by moving the blue leftward or rightward and the then downward.
- Reflection is when we flip a figure over a line. The reflection involves reflect the blue Square over the line; y = x.
- Rotation is when we rotate a figure a certain degree around a point. The rotation is by rotating the blue Square over 180⁰.
Read more on transformations;
brainly.com/question/4289712
Answer:
units.
Step-by-step explanation:
Let x be the width of rectangle.
We have been given that the length of garden is 2 units more than 1.5 times it’s width. So length of the rectangle will be: 
.
To find the length of total fencing we need to figure out perimeter of rectangle with width x and length .
Since we know that perimeter of a rectangle is two times the sum of its length and width.
Upon substituting length and width of garden in above formula we will get,
Upon using distributive property we will get,
Therefore, the length of required fencing will be units.
