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lora16 [44]
3 years ago
12

HURRY PLEASE

Mathematics
2 answers:
MAVERICK [17]3 years ago
8 0
Answers - from top to bottom

7(x - 2) = x + 16
distributive \: property
addition \: property \: of \: equality
7x = x + 30
subtraction \: property \: of \: equality
6x = 30
division \: property \: of \: equality
simplifying





LUCKY_DIMON [66]3 years ago
6 0

Answer:

         Statement                                     Reason

1.  7(x-2)=x+16                             Given

2. 7x-14=x+16                              Distributive property

3. 7x-14+14=x+16+14               Addition property of equality

4. 7x=x+30                                     Simplifying

5. 7x-x=x+30-x                       Subtraction property of equality

6.  6x=30                                         Substitute property of equality

7. \frac{6x}{6}=\frac{30}{6}                                           Division property of equality

8. x=5                                                  Simplifying

Step-by-step explanation:

The given equation is

7(x-2)=x+16

The solution of given equation is x=5.

We need to write a complete proof.

         Statement                                     Reason

1.  7(x-2)=x+16                             Given

2. 7x-14=x+16                              Distributive property

3. 7x-14+14=x+16+14               Addition property of equality

4. 7x=x+30                                     Simplifying

5. 7x-x=x+30-x                       Subtraction property of equality

6.  6x=30                                         Substitute property of equality

7. \frac{6x}{6}=\frac{30}{6}                                           Division property of equality

8. x=5                                                  Simplifying

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve
vekshin1
<span>Part 1: Jasmine practices the piano for 30 minutes on Monday. Every day she increases her practice time by 5 minutes. If she continues this pattern, how many minutes, on the 7th day she will practice Tn = a + (n - 1)d
T7 = 30 + 5(7 - 1) = 30 + 5(6) = 30 + 30
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Part 2: Anthony goes to the gym for 10 minutes on Monday. Every day he multiplies his gym time by 2. If he continues this pattern, on the 5th day she will spend 10(2)^(5 - 1) = 10(2)^4 = 10(16) = 160 minutes in the gym.
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3 years ago
A sector with an area of 30(pi) cm^2 has a radius of 10 cm.
Karolina [17]

Answer:

  108°

Step-by-step explanation:

The area of a sector is given by the formula ...

  A = (1/2)r²θ . . . . . where θ is in radians

Solving for θ, we find ...

  θ = 2A/r²

For your given sector, the central angle is ...

  θ = 2(30π cm²)/(10 cm)² = 0.6π . . . . radians

π radians is 180°, so the central angle in degrees is ...

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3 years ago
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Alenkasestr [34]

The image of rectangle JKLM after a reflection over the y-axis around the origin is J = (6, -2), K = (6, -1), L = (0, -1) and M = (0, -2)

<h3>How to graph the image of rectangle JKLM after a reflection over the y-axis around the origin?</h3>

From the graph, the coordinates of the rectangle are:

J = (-6, -2)

K = (-6, -1)

L = (0, -1)

M = (0, -2)

The rule of a reflection over the y-axis around the origin is

(x, y) = (-x, y)

When the above rule is applied, we have the image to be:

J = (6, -2)

K = (6, -1)

L = (0, -1)

M = (0, -2)

Hence, the image of rectangle JKLM after a reflection over the y-axis around the origin is J = (6, -2), K = (6, -1), L = (0, -1) and M = (0, -2)

Read more about transformation at

brainly.com/question/4289712

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