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Sladkaya [172]
3 years ago
15

Match the proof part 1:​

Mathematics
1 answer:
konstantin123 [22]3 years ago
3 0

Answer:

A, B, C

Step-by-step explanation:

Step 1: "AB ≅ DE, AC ≅ DF, and ∠A ≅ ∠D"

A. Given.

This is the information that was given in the problem statement.

Step 2: "ΔABC ≅ ΔDEF"

B. Side-Angle-Side Postulate (SAS)

The SAS postulate says that if two triangles have a pair of congruent angles between two pairs of congruent sides, then the triangles must be congruent.  From the previous step, we can conclude the triangles are congruent.

Step 3: "∠C ≅ ∠F"

C. Corresponding parts of congruent triangles are congruent (CPCTC)

In Step 2, we established the triangles are congruent.  So now we can conclude that the corresponding angles are congruent.

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A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $6400 for a job they just f
aleksklad [387]

Answer:

Apprentice = $800

Journeyman = $1600

carpenter = $4000

Step-by-step explanation:

Let the apprentice earns X dollars.

Then ,

Journeyman will make 200% of apprentice's earning which is 2X.

Also,

Carpenter makes 250% of the earning that journeyman makes.

Which is 2.5(2X) = 5X

Their total earning should come to $6400.

Thus,

X + 2X + 5X = 6400

8X = 6400.

X = $800

So,

Earning of apprentice = X = $800

Earning of Journeyman = 2X = $1600

Earning of carpenter = 5X = $4000

4 0
3 years ago
Nora biked 8 miles north from her school to a park. Nora's brother rode a bus 15 miles
iVinArrow [24]
Park and the music store
6 0
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The amount of gas that a helicopter uses is directly proportional to the number of hours
AleksandrR [38]

Answer:

60 gallons

Step-by-step explanation:

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7 0
2 years ago
What is the square root of 49 multiplied by the square root of 9
fiasKO [112]
First we need to find the the answer to both the square root of 49 and 9.

The "square root" is a term referring to a number, multiplied by itself (x • x) would be = to your square root.

So for example: Square root of 16 = 4 because 4*4=16 

So lets get out numbers:

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\sqrt{49}=7

Now you multiply 3*7 (or 7*3) and you get 21.

Final answer: 21

7 0
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Simplify.<br> -9 -5 -7<br> х<br> Y Z<br> 2 6 3<br> X Y Z
krok68 [10]

Answer:

=  {x}^{ - 11}  {y}^{ - 11}  {z}^{ - 10}

Step-by-step explanation:

= \frac{ {x}^{ - 9} {y}^{ - 5}   {z}^{ - 7} }{ {x}^{2}  {y}^{6} {z}^{3}  }  \\   = {x}^{ - 9 - 2}  {y}^{ - 5   - 6}  {z}^{ - 7 - 3}  \\  =  {x}^{ - 11}  {y}^{ - 11}  {z}^{ - 10}

7 0
3 years ago
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