Answer:
Terms:
<em>5, 2x, 4, 3x</em>
Coefficients:
<em>2 in 2x, and 3 in 3x</em>
Constants:
<em>5 and 4</em>
Factors:
<em>5, 2x, and 4</em>
Step-by-step explanation:
For terms, all of them are terms because they are all in the expression.
For coefficients, coefficients are ones that have a variable (think of it as a <em>copilot</em> kind of thing).
For factors, factors are terms that are multiplied together together to get a <em>product</em> (the answer).
For constants, these are terms that stand alone, by themselves. They are not attached to variables.
The answer is <em>13x + 20, </em>too, just in case you needed that.
Have a great day and hope this helps!
Answer:
f = -4
Explanation:
Subtract The Numbers: -2 - 2 = 4
f = -| -4|
Apply Absolute Rule (|-a| = a): |-4| = 4
f = -4
Answer:
D. None of the above; the triangles cannot be proven similar
Step-by-step explanation:
There are no signs that shows the triangles are similar or congruent for given information. So the answer is last option :
D. None of the above; the triangles cannot be proven similar
Answer:
Pierre has enough boards and nails to make 9 tables and 5 chairs.
Step-by-step explanation:
13T+8C ≤ 220
Let us substitute 9 for T and 5 for C and check.
13(9) + 8(5) = 117 + 40
= 157 < 220
So, 220 wooden boards are sufficient to make 9 tables and 5 chairs.
48T+37C ≤ 760
Substitute 9 for T and 5 for C.
48(9)+37(5) = 432 + 185
= 617 < 760
So, 760 nails are sufficient to make 9 tables and 5 chairs.
Hence, Pierre has enough boards and nails to make 9 tables and 5 chairs.
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.
