Answer:
108 degrees.
Step-by-step explanation:
2x + 16 = 3x - 12 (corresponding angles; AB parallel to CD).
16 + 12 = 3x - 2x
x = 28.
So the angle marked 3x - 12 = 3(28) - 12
= 72 degrees.
Angle y is adjacent to the angle so
y = 180 - 72
= 108 degrees.
Lets say w is the width of the flower bed. We can make an equation to find the area.
The length of the of the flower bed is (w+5) and the width is w.
To find the area we need to multiply the length(w+5) by the width(w) and set it equal to 84,
(w+5)(w)=84
w^2 +5w=84
Using the quadratic equation you get the solutions of 7 and -12. Since 7 is positive it is our width. Our length is 7+5 or 12.
To answer this question with the choices given, you would substitute the possible answers into your work for the base and the height of each dimension on the entire campground.
To find the length of the campground, you multiply each choice by 5 because there are 5 campsites.
For the width, you add each choice to 4.
Then you multiply the total length by the total width to see if your answer is 950 square yards.
See the attached picture for all the work.
One number: x
Its consecutive: x + 1
Product:
x(x+1)=121
x² + x - 121 = 0
Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485
As square root of 485 is not integer, do not exist two consecutive numbers with product of 121
In the picture are the steps on how to solve this conversion problem
Hope this helps and maker me brainless plzzzzz
The answer is
46100000
——————g
221