Let the smaller number be x
The bigger number is 5x
5x(x) = 180
5x² = 180
x² = 180÷5
x²=36
x=√36
x = 6
x=6
5x = 6 x 5
5x = 30
So the two numbers are 6 and 30
A) 55 degrees.
The two red slashes show that both angle x and the 55 degree angle are congruent.
Answer:
2x + 14
Step-by-step explanation:
To evaluate h(x + 5) substitute x = x + 5 into h(x), that is
h(x + 5) = 2(x + 5) + 4 = 2x + 10 + 4 = 2x + 14
Our equation for the area of a rectangle is l x w = A (length times width equals area)
We know that l=w+20 so we can plug this into our equation.
It is now, (w+20) x w =800
We can then solve for w
w^2 +20w =800
We can subtract 800 on each side to get
w^2 +20w - 800 =0
We then factor to get
(w-20)(w+40)=0
This gives us w =20 and w = -40
Width cannot be negative so our width will be 20 feet
Since our length is 20 more than this, then our length will be 40feet
So the dimensions of the rectangle are 20 ft wide by 40 ft long
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