Answer:
60.57
Step-by-step explanation:
The angle L can be found using the inverse sine function.
L=arcsin(opp/hyp
)
L=arcsin(2.7/3.1)
L
=60.57129282
Answer: <em>x=-4</em>
Step-by-step explanation:
<em>-4x=16</em>
<em>Divide by -4 on each side to cancel it out</em>
<em>x=-4</em>
Answer:
Option A is correct.
The linear function that has the steepest slope is, 
Explanation:
Slope intercept form: The general formula is,
where m is the slope and b is the y-intercept.
Option A:
According to slope intercept form:
Slope is -8
Similarly, for
Option B :
Slope is -2
Option C:
Slope is 7
Option D :
Slope is 6
Steepest slope defined as that is closest to being vertical.
This could be a line that is positive or negative slope respectively.
Therefore, the linear function that has the steepest slope is, 
We are told that circle C has center (-4, 6) and a radius of 2.
We are told that circle D has center (6, -2) and a radius of 4.
If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.
Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:

If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.
Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.
Thus, the argument is correct and the last choice is best.