Answer: 3. Point F.
Step-by-step explanation:
The missing statement is: Point F' corresponds to______
- Point D.
- Point E'.
- Point F.
- Point E.
The missing picture is attached.
By definition, the original figure (The figure before the transformation) is called "Pre-image" and the figure obtained after the transformation is called "Image".
You know that the triangle is obtained by transforming the triangle ; therefore, the triangle is the Pre-Image and the triangle is the Image.
Therefore, given the point (which is a vertex on the triangle ) you can identify that its image is (which is the corresponding vertex on the triangle ).
You can also verify it by seeing the angle and the angle . Notice tthat:
Therefore, based on the explained before, you can conclude that the point corresponds to the point .
1.6 is more that 16 tenths because 16 tenths is written like 0.16, and if you take 1.6 and 0.16, you see that in the ones place 1.6 has 1 and 0.16 has 0, and 1 is bigger that 0. I hope that makes sense
Answer:
°
Step-by-step explanation:
1. Approach
In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).
2. Arc (a) and arc (c)
A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:
3. Finding the degree measure of arc (a),
The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:
Substitute,
Simplify,
Answer:
3.61
Step-by-step explanation:
We need to use the distance formula for this:
Basically, we find the different between the the x points: -2-(-4)
Thats 2
Next we square 2 to get 4
Now we find the different between the y points: -3-0
Thats -3
Next we square -3 to get 9
Now, we add 9 to 4 to get 13
Finally, we take to square root of 13 to get 3.61
Have a nice day!
Answer:
Angle BCD is 13 degrees
Step-by-step explanation:
Here, we want to find the measure of angle BCD
To get this, we need an appropriate diagram. The diagram can be seen in the attachment.
To find the value of BCD, we can use an important triangle theorem.
This is that the sum of opposite interior angles of a triangle equals the exterior angle.
Thus, we have that;
BCD + DBC = CDE
hence;
3x + 5 + 2x + 3 = 9x-12
5x + 8 = 9x -12
9x-5x = 8 + 12
4x = 20
x = 20/4
x = 5
So the measure of BCD will be 2(5) + 3 = 10 + 3 = 13