R^2+(ab)^2= (ao)^2
ab=6
ao=11.7
Plug in
r^2+6^2=11.7^2
simplify
r^2+36= 136.89
-36 both sides
r^2=100.89
square root both sides
r= 10.04 rounded 10
Answer:(9,-3)
Step-by-step explanation:
You just have to flip the numbers
The 3-D shape would be created if the figure was rotated around the x-axis is a cone
<h3>What are 3-D shapes?</h3>
3-D shapes (short form of 3-Dimensional shapes) are shapes that have width, length and height
<h3>How to determine the 3-D shape?</h3>
The coordinates are given as:
(0, 0), (-3, -4) and (-3, 0)
When the above coordinates are plotted on a coordinate plane and the points are connected;
We can see that the points form a right-triangle
See attachment for the shape
As a general rule
Rotating a right-triangle across the x-axis would form a cone
Hence, the 3-D shape would be created if the figure was rotated around the x-axis is a cone
Read more about rotation at:
brainly.com/question/4289712
#SPJ1
Answer:
1. Opposite
2. angle-side-angle criterion
Step-by-step explanation:
Since ABCD is a parallelogram, the two pairs of <u>(opposite)</u> sides (AB¯ and CD¯, as well as AD¯ and BC¯) are congruent. Then, since ∠9 and ∠11 are vertical angles, it can be concluded that ∠9≅∠11. Since ABCD is a parallelogram, AB¯∥CD¯. Since ∠2 and ∠5 are alternate interior angles along these parallel lines, the Alternate Interior Angles Theorem allows that ∠2≅∠5. Since two angles of △AEB are congruent to two angles of △CED, the Third Angles Theorem supports that ∠8≅∠3. Therefore, using the <u>(angle-side-angle criterion)</u>, it can be stated that △AEB≅△CED. Then, applying the definition of congruent triangles, it can be stated that AE¯≅CE¯, which makes E the midpoint of AC¯. Use a similar argument to prove that △AED≅△CEB; then it can be concluded that E is also the midpoint of BD¯. Since the midpoint of both line segments is the same point, the segments bisect each other by definition. Match each number (1 and 2) with the word or phrase that correctly fills in the corresponding blank in the proof.
A parallelogram posses the following features:
1. The opposite sides are parallel.
2. The opposite sides are congruent.
3. It has supplementary consecutive angles.
4. The diagonals bisect each other.
Step-by-step explanation:
-2x - 6xy - 3y + 7x <em>combine like terms</em>
= (-2x + 7x) - 6xy - 3y
= 5x - 6xy - 3y
