Answer:
x = 27
Step-by-step explanation:
The given angles are vertical angles and congruent, thus
5(x - 4) = 4x + 7, that is
5x - 20 = 4x + 7 ( subtract 4x from both sides )
x - 20 = 7 ( add 20 to both sides )
x = 27
Answer:
The length of the yard is 60 feet while the width is 30 feet.
Step-by-step explanation:
If the length of Mr. Timmon's backyard is double the width, then the dimensions are related by the following expression:
length = 2*width
We also know the perimetter, since he has the exact length of fence to surround his whole yard, which is 180 feet. The perimeter of a rectangle is given by:
perimeter = 2*length + 2*width
Therefore,
180 = 2*length + 2*width
With the length being double the width, we have:
180 = 2*(2*width) + 2*width
180 = 4*width + 2*width
6*width = 180
width = 180/6 = 30
length = 2*width = 2*30 = 60
The length of the yard is 60 feet while the width is 30 feet.
Answer:2000
Step-by-step explanation:I think
Answer:
x= 20 x =-5
Step-by-step explanation:
x^2 – 15x – 100 = 0.
What two numbers multiply to -100 and add to -15
-20 * 5 = -100
-20 +5 = -15
(x-20) (x+5) =0
Using the zero product property
x-20 =0 x+5 = 0
x= 20 x =-5
Just count the notches between the two points, there are 15 notches so 15 is tour answer
