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Yuri [45]
3 years ago
6

Write a two column proof. Given: 7y=8x-14 ; y=6 Prove: x=7

Mathematics
2 answers:
m_a_m_a [10]3 years ago
8 0
7y = 8x - 14

7y= 7(6) Reason : Given

7y = 42

8x -14 = 42 Reason: Because 8x - 14 equals to 7y


8x = 42 + 14 Reason : Because we flip 14 on to the other side of the equation thus it becomes opposute of what it was.

8x = 56

× = 7

Proven
ryzh [129]3 years ago
6 0

Given - 7y=8x-14 : y=6

Substitution Property - 7(6)=8x-14

Distributive Property - 8x-14=42

Addition Property - 8x=56

Division Property - x=7

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Geoffrey wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals.
snow_tiger [21]
<span>Consider the triangles ERT and  CTR.

|ER|=|CT| shown

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m(R)=m(T)= 90°shown

(By the definition of a rectangle, all four angles measure 90°)

|RT|=|TR|

so we have Side Angle Side congruence.

By the <span>(SAS) Theorem, the triangles are congruent.


Answer: </span><span>C (SAS) Theorem</span>
3 0
3 years ago
Read 2 more answers
If DE= 4x–1, EF= 9, and DF= 9x–22 , find the value of x
dybincka [34]

Answer:

The correct answer is x = 6.

Step-by-step explanation:

To solve this problem, we first must recognize that DE + EF = DF.

From this information, we can set up the following equation when we substitute in the given values:

DE + EF = DF

(4x-1) + 9 = 9x - 22

Our first step is going to be to combine like terms on the left side of the equation.  This is modeled below:

4x - 1 + 9 = 9x - 22

4x + 8 = 9x - 22

Then, we should subtract 4x from both sides of the equation.

8 = 5x - 22

Now, we can add 22 to both sides of the equation.

30 = 5x

Finally, we can divide both sides by 5.

x = 6

Therefore, the correct answer is x = 6.

Hope this helps!

6 0
3 years ago
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yKpoI14uk [10]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four ho
padilas [110]

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

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Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

7 0
3 years ago
X^4 -(3m+2)x^2 +3m+1 +0 <br> tìm m để phương trình có 4 nghiệm phân biệt nhỏ hơn 2
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Answer:

3

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Step-by-step explanation:

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