Answer:
options are provided below...i hope this helps! :)
Step-by-step explanation:
well if the angles are vertical then ADC would be the same as ABC with 40 degrees
if the angles are corresponding, then they both are 40 degrees
if they are complementary angles, then they add up to 90 degrees
so the angle ADC would be 50 degrees
if they are supplementary angles, then they add up to 180 degrees. so ADC would be 140 degrees
Answer:
Step-by-step explanation:
<u>Given data:</u>
- <u>x | 2 | 3 | 4 | 5 | 6 </u>
- y | 21 | 69 | 261 | 1029 | 4101
<u>Logarithms of y-values:</u>
- log 21 = 1.322
- log 69 = 1.839
- log 261 = 2.417
- log 1029 = 3.012
- log 4101 = 3.613
<u>The ordered pairs:</u>
- (2, 1.322), (3, 1.839), (4, 2.417), (5,3.012), (6, 3.613)
<u>Using an online calculator found the equation of the regression line:</u>
<u>In our case it is:</u>
Let's call the height of the tower
and the distance from the 65 degree angle to the base of the tower
.
We get two equations:







Answer: 48
Let
x-------> the length side of the original cube
we have

Divide by
both sides

The system of equations is equal to
--------> equation 
--------> equation 
using a graphing tool
see the attached figure
we know that
the solution of the system of equations is the intersection both graphs
therefore
the solution is

therefore
<u>the answer is</u>

Answer:
x^2/33 + y^2/26 = 1
Step-by-step explanation:
The formula for a hyperbola centered at the origin is:
x^2/a^2 - y^2/b^2 = 1
The vertices are located at (±a, 0), so we have that the value of a is √33
The foci are located at (±c, 0), where c^2 = a^2 + b^2
So if we have that c = √59, we can find the value of b:
59 = 33 + b^2
b^2 = 26
b = √26
So the formula for this hyperbole is:
x^2/33 + y^2/26 = 1