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MissTica
3 years ago
7

What expressions are equivalent to z + (z + 6)z+(z+6)

Mathematics
1 answer:
Mariana [72]3 years ago
4 0

z^{2} + 8z + 6

Simplifying:

z + (z + 6)z + z + 6=

z + z^{2}  + 6z + z + 6 =

z^{2} + 8z + 6

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Complete the proof....
abruzzese [7]

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of Congruent Angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement           {}                                  Reason

1. ∠1 and ∠2 are supplementary    {}     Given

 {} ∠1 and ∠3 are supplementary

2. m∠1 + m∠2 = 180°        {}                    Definition of supplementary angles

{}   m∠1 + m∠3 = 180°

3. m∠1 + m∠2 = m∠1 + m∠3      {}          Transitive Property

4. m∠2 = m∠3       {}                               Subtraction Property of Equality

5. ∠2 ≅ ∠3       {}                                    Definition of Congruent Angles

Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.

3 0
3 years ago
I need help on how to solve this so anything is good :)
DanielleElmas [232]

Answer:

STUV is a square

Step-by-step explanation:

segment length² = (x-x₁)² + (y-y₁)²

ST²: (-9 - 1)2 + (14 - 10)² = (-10)² + 4² = 116   (the rest follow this formula)

TU² = 116    TV² = 232    SU² = 232   SV² = 116   UV² = 116

ST = TU =SV = UV  (4 sides congruent)

TV = SU  (diagonal equal)

This is a square

4 0
2 years ago
I cant fail this it’s my exam please help anyone
Olin [163]

The answer is b because it is b

5 0
3 years ago
Read 2 more answers
Which equations may be used to determine the 3 consecutive integers whose sum is 127?
s344n2d4d5 [400]

Answer:

a and b.

Step-by-step explanation:

I’ll explain by giving an example.

Let’s say that: a=3;b=4;c=5; => they all are consecutive -> their sum is 12.

=> if we use a) n=3 => 3*n+3=3*3+3=12 => correct.

b) n+(n+1)+(n+2)= 3+4+5=12=> correct.

c)n+2n+3n=3+6+9=18=>incorrect.

d)3n=3*3=9=>incorrect.

7 0
2 years ago
The government is the largest provider of public goods and services. give two examples of public goods and/or
nydimaria [60]
Law enforcement and public education
4 0
2 years ago
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