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andrew-mc [135]
3 years ago
6

Which pair of angles are alternate exterior angles?

Mathematics
2 answers:
densk [106]3 years ago
3 0

Answer:

B) ∠2 and ∠11

Brilliant_brown [7]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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Neko [114]
The first one is < the second one is < and the last one is =
5 0
3 years ago
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In triangle ABC shown below, DE is parallel to AC. The following two-column proof with missing statements and reasons proves tha
lianna [129]

Answer:

The correct option is;

C. 3. ∠BDE ≅∠BAC, Corresponding Angles Postulate 4. ∠B ≅ ∠B Reflexive Property of Equality

Step-by-step explanation:

The two column proof can be written as follows;

Statement,                         Reason

1. \overline{DE} \parallel \overline{AC},                           Given

2. \overline {AB} is a transversal ,         Conclusion from statement 1.

We note that ∠BDE  and ∠BAC are on the same side of the transversal relative to the parallel lines, and are therefore, corresponding angles.

Therefore, we have;

3. ∠BDE ≅∠BAC,                 Corresponding Angles Postulate

Also

4. ∠B ≅ ∠B,                           Reflexive Property of Equality

In the two triangles, ΔABC and ΔDBE, we have ∠BDE ≅∠BAC and ∠B ≅ ∠B,

From ∠BDE + ∠B + ∠BED = 180°

∠BAC + ∠B +  ∠BCA = 180°

Therefore, ∠BED = ∠BCA Substitution property of equality

Which gives;

5, ΔABC ~ ΔDBE,          Angle Angle Similarity Postulate

6. BD/BA = BE/BC,      Converse of the Side-Side-Side Similarity Theorem

5 0
3 years ago
Help with question 4?
deff fn [24]
I believe it is the last option, but pleae don’t come for me if you get it incorrect. But if that is the case, I apologize in advance for any inconveniences this may cause.

Kind regards!
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kari74 [83]
For the answer to the question above, 
and we are told that there are "four times as many quarters as nickels"
this translates to
q = 4n

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and
q = 4n
are your two equations that could be used to solve this problem


if you would like to know how many nickels and how many quarters there are, plug in q = 4n into the first equation and get
0.05n + 0.25(4n) = 2.10
then I would stop here
because I didn't see the choices. So the answer is 4n
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Which theorem shows that AABC A DEF?
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Side angle side triangle congruence theorem is correct
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