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german
3 years ago
15

PLEASE HELP!!! GEOMETRY (see attached images)

Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

The Proof and Explanation  for

Part C ,

Qs 9 and

Qs 10  are below.

Step-by-step explanation:

PART C .

Given:

AD || BC ,

To Prove:

ΔAED ≅ ΔCEB

Proof:

Statement                             Reason

1. AD || BC                           1. Given

2. ∠A ≅ ∠C                        2. Alternate Angles Theorem as AD || BC

3. ∠AED ≅ ∠CEB               3. Vertical Opposite Angle Theorem.

4. AE ≅ EC                         4. Given

5. ΔAED ≅ ΔCEB               5. By A-S-A congruence test....Proved

Qs 9)

Given:

AB ≅ BC ,

∠ABD ≅ ∠CBD

To Prove:

∠A ≅ ∠C

Proof:

Statement                             Reason

1. ∠ABD ≅ ∠CBD              1. Given

2. AB ≅ CB                       2. Given      

3. BD ≅ BD                       3. Reflexive Property

4. ΔABD ≅ ΔCBD             4. By S-A-S congruence test

5. ∠A ≅ ∠C                       5. Corresponding parts of congruent Triangles Proved.

Qs 10)

Given:

∠MCI ≅ ∠AIC

MC ≅ AI

To Prove:

ΔMCI ≅ ΔAIC

Proof:

Statement                             Reason

1. ∠MCI ≅ ∠AIC       1. Given

2. MC ≅ AI              2. Given

3. CI ≅ CI                3. Reflexive Property

4. ΔMCI ≅ ΔAIC     4. By S-A-S congruence test

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Mole Conversion:<br> What is the mass of 3.13 x 1023 molecules of carbon dioxide?
4vir4ik [10]

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The mass of 3.13*10²³ molecules of carbon dioxide is 22.88 g.

Step-by-step explanation:

Avogadro's Number or Avogadro's Constant is the number of particles that make up a substance (usually atoms or molecules) and that can be found in the amount of one mole of said substance. Its value is 6.023*10²³ particles per mole and it applies to any substance.

Then you can apply the following rule of three: if 6.023*10²³ molecules are present in 1 mole, 3.13*10²³ molecules are present in how many moles?

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8 0
2 years ago
Please help<br><br> In which table does y vary directly with x?
grigory [225]

Answer:

Table D

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

<u><em>Verify each case</em></u>

<em>Table A</em>

For x=1, y=3

Find the value of k

k=y/x -----> k=3/1=3

For x=2, y=9

Find the value of k

k=y/x -----> k=9/2=4.5

the values of k are different

therefore

The table A not represent a direct variation

<em>Table B</em>

For x=1, y=-5

Find the value of k

k=y/x -----> k=-5/1=-5

For x=2, y=5

Find the value of k

k=y/x -----> k=5/2=2.5

the values of k are different

therefore

The table B not represent a direct variation

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For x=1, y=-18

Find the value of k

k=y/x -----> k=-18/1=-18

For x=2, y=-9

Find the value of k

k=y/x -----> k=-9/2=-4.5

the values of k are different

therefore

The table A not represent a direct variation

<em>Table D</em>

For x=1, y=4

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For x=2, y=8

Find the value of k

k=y/x -----> k=8/2=4

For x=3, y=12

Find the value of k

k=y/x -----> k=12/3=4

All the values of k are equal

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The table D represent a direct variation or proportional relationship

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