Answer:
-0.17157287525
Step-by-step explanation:
1. The square root of 8 will never be a whole number so it is 2.82842712475
2. Square root of 9 is 3.
3. You can already realize that the answer will not be whole or positive
4. Subtract in order.
5. The answer is -0.17157287525
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.
The rule to find the term is: y=225-4x
you want to know the 82nd term which occurs when x=82 therefore
y = 225-(4 x 82) = -103
82nd term = -103
You’ll have to adjust the plotting a bit to fit your graph that you have, but this is the main idea.
Answer:
- The numbers are 8 and 10.
Step-by-step explanation:
Let the numbers be x and y.
The sum of two numbers is eighteen:
The total of three times the smaller and twice the larger is forty-four:
Solve the system by substitution:
Substitute x and solve for y:
- 3(18 - y) + 2y = 44
- 54- 3y + 2y = 44
- 54 - y = 44
- y = 54 - 44
- y = 10
Find x:
