<span>Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. i hope this helps you</span>
Answer:
12x - 28° = 116°
7x + 32° = 116°
Step-by-step explanation:
12x - 28° and 7x + 32° are vertical angles. Vertical angles are congruent.
Therefore, to find the measure of each angle, we have to set each equation equal to each other as follows:
12x - 28° = 7x + 32°
Collect like terms
12x - 7x = 28 + 32
5x = 60
Divide both sides by 5
5x/5 = 60/5
x = 12
✔️12x - 28°
Plug in the value of x
12(12) - 28
= 144 - 28
= 116°
✔️7x + 32°
7(12) + 32
= 84 + 32
= 116°
Answer:
Width = 5
Length = 11
Step-by-step explanation:
Let :
Width, = x
Length = 2x + 1
Area of rectangular garden is given as 55 ft²
Area of a rectangular garden, A = Length * width
Hence,
x * (2x + 1) = 55
2x² + x = 55
2x² + x - 55 = 0
Using the quadratic equation formula :
a = 2 ; b = 1, c = - 55
-b ± sqrt(b² - 4ac) / 2a
Using the quadratic equation solver to save computation time :
The roots are :
-5.5 and 5
Dimension can't be negative ; so x = 5
Hence,
width, x = 5
Length, 2x + 1 = 2(5) + 1 = 10 + 1 = 11
Hence,
Width = 5
Length = 11
2*f+5*2
2(f+5) these are just two methods
Answer:
-12 5/8
Step-by-step explanation:
add then subtract
