Answer:
- 9x² - 36x - 27
Step-by-step explanation:
9 - (3x + 6)² ← expand using FOIL
= 9 - (9x² + 36x + 36) ← distribute parenthesis by - 1
= 9 - 9x² - 36x - 36
= - 9x² - 36x - 27
The respective missing proofs are; Alternate interior; Transitive property; Converse alternate interior angles theore
<h3>How to complete two column proof?</h3>
We are given that;
∠T ≅ ∠V and ST || UV
From images seen online, the first missing proof is Alternate Interior angles because they are formed when a transversal intersects two coplanar lines.
The second missing proof is Transitive property because angles are congruent to the same angle.
The last missing proof is Converse alternate interior angles theorem
because two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.
Read more about Two Column Proof at; brainly.com/question/1788884
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Answer:
2
Step-by-step explanation:
The degree of a monomial is simply the sum of all the exponents.
We can see that the only exponent belongs to k, and it is 2.
Thus, this is a second degree monomial.
The degree is 2.
And we are done!
Let x be the number of MP3 players TechWiz sold last week.
If TechWiz sold in total 130 MP3 and DVD players, then it sold (130-x) DVD players.
1. TechWiz Electronics makes a profit of $35 for each MP3 player sold, then it makes a profit $35x for x MP3 players sold.
2. TechWiz Electronics makes a profit of $18 for each DVD player sold , then it makes a profit $18(130-x) for (130-x) DVD players sold.
3. An expression for the combined total profit (in dollars) TechWiz made from MP3 and DVD players last week is
35x+18(130-x).
You can simplify it:
35x+2,340-18x=17x+2,340
Answer: 35x+18(130-x) or 17x+2,340
The value of angle Z is 30 degrees
<h3>How to determine the value of angle Z?</h3>
The given parameters are:
ABC is dilated to form XYZ
This means that the triangles ABC and XYZ are similar triangles and the corresponding angles are equal
So, we have the following angle equations
A = X
B = Y
C = Z
Also, we have
A + B + C = 180
Substitute C = Z in A + B + C = 180
A + B + Z = 180
Substitute A = 45 and B = 105
So, we have:
45 + 105 + Z = 180
Evaluate the like terms
150 + Z = 180
Subtract 150 from both sides
Z = 30
Hence, the value of angle Z is 30 degrees
Read more about angles at:
brainly.com/question/25716982
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