<h2>
Greetings!</h2>
Answer:
Width = 7
Length = 15
Step-by-step explanation:
Let x be the width value:
Because the length is 8cm bigger than the width(x), this can be shown by:
Length = x + 8
If you recall the equation for the area of a rectangle:
Area = length x width
Simply plug the known values in:
105 = (x + 8) * x
(x * x) + (8 * x) = 105
x² + 8x = 105
Move the +105 to the other side making it a -105, meaning that this is now a quadratic:
x² + 8x - 105 = 0
Factorise this:
(x + 15) ( x - 7)
So x = -15 or x = 7
X has to be 7 because you cannot have a negative measurement.
This means that:
The width = 7
And the length = 7 + 8 = 15
<h2>Hope this helps!</h2>
The answer would be 3 and the line is 77
Ok first look at just the base 2s. 2^3/2^4 is 1/2
Then 3^-4*3^2/3^-3 is 3^-2/3^-3 is 3^3/3^2 is 3
Therefore the answer is 3/2
Answer:
45°
Step-by-step explanation:
The angle with measure of 9x and the angle with measure of 3x are supplementary
9x + 3x = 180°
12x = 180 divide both sides by 12
x = 15
The angle with measure of 9x and angle a are supplementary as well
9x + a = 180
9×15 + a = 180
135 + a = 180 subtract 135 ftom both sides
a = 45°
A. -12, -7, -2, 3, 8
B. 3, 2, 1, 0, -1
