So, you already know that angle CBD is 68 degrees, and the complementary angle to angle CBD is angle CBA. These angles together make 180 degrees because segment DBA is a straight line consisting of angles CBD and CBA. 180-68(the angle you already know) is 112 degrees for angle CBA. Then you repeat this process to find the other angles
Answer:
because of them is bigger than the other one so that means its differ but it has the same length
Step-by-step explanation:
The transformations done are option A. A reflection over the y-axis, then a reflection over the x-axis
Step-by-step explanation:
Step 1:
First, we plot the points of triangle ABC and A''B''C''.
The points of triangle ABC are A (-8, -5), B(-4, -3), and C(-4,-7).
The points of triangle A''B''C'' are A'' (8, 5), B'' (4, 3), and C'' (4,7).
The points of both triangles ABC and A''B''C'' are the same values but different symbols for x and y values.
Step 2:
If a shape is reflected across an axis, the values remain the same but the symbols vary according to the quadrant.
If a shape is translated, all coordinates of all the points vary accordingly.
As triangles ABC and A''B''C'' have exactly the same coordinates it means that two reflections have occurred but no translations have occurred.
So the answer is the option with two reflections. So option A. A reflection over the y-axis, then a reflection over the x-axis is the answer.
Answer:




So then the % expected would be:

So then the answer would be 75%
Step-by-step explanation:
For this case we have the following info given:
represent the true mean
represent the true deviation
And for this case we want to find the minimum percentage of sold homes between $211,600 and $238,400.
From the chebysev theorem we know that we have
% of values within
if we use this formula and the limit given we have:




So then the % expected would be:

So then the answer would be 75%
Before we can determine the rectangular coordinate of the point, let's determine first its polar coordinates. For this, we need two things: radius and angle.
For the radius, we see that point R is 4 units away from the center.
For the angle, we see that it is 30° clockwise or 330° counterclockwise. See the illustration below:
Now that we know the radius is 4 units and the angle is 330° counterclockwise, let's now convert this to rectangular coordinates.
Use the formula below:
For x-coordinate, we have:


For the y-coordinate, we have:


Therefore, the rectangular coordinate of the given polar point is (2√3, -2). Option B.