Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Find g(-9):</u>
- g(-9) = (-9)² + 3(-9) = 81 - 27 = 64
Answer:
________
Step-by-step explanation:
Given
Line up the numbers
Multiply the top number by the bottom number one digit at a time starting with the ones digit left(from right to left right)
Multiply the top number by the bolded digit of the bottom number
Multiply the bold numbers: 1×4=4
Multiply the bold numbers: 2×4=8
Multiply the top number by the bolded digit of the bottom number
Multiply the bold numbers: 1×1=1
Multiply the bold numbers: 2×1=2
Add the rows to get the answer. For simplicity, fill in trailing zeros.
adding portion
Add the digits of the right-most column: 4+0=4
Add the digits of the right-most column: 8+1=9
Add the digits of the right-most column: 0+2=2
Therefore,
________
Answer:
its c because parallel lines are lines that are always the same distance apart all of these are the same distance apart
hoped this helped let me know if it did
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.
Answer:
Equivalent expression of 
is, 
Step-by-step explanation:
The distributive property says that:
Given the expression:
Apply the distributive property:
Simplify:
Therefore, the equivalent expression of is,
