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docker41 [41]
4 years ago
7

Drag a statement or reason to each box to complete the proof.

Mathematics
1 answer:
astra-53 [7]4 years ago
5 0

Answer:

The answers of the proof are the following:

2. Division Property of Equality

3. x+ 1 = -4

4. Subraction Property of Equality

5. x = -5

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Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ hai 25 đơn vị thì số thứ nhất bằng 2/3 số thứ 2
Ira Lisetskai [31]

Trả lời:

86 và 91

Giải thích từng bước:

Cho hai số là x và y. Nếu tổng của chúng là 177, thì;

x + y = 177 ... 1

Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17

Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25

Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:

x-17 = 2/3 (y + 25) .... 2

Từ 1, x = 177-y ... 3

Thay thế 3 thành 2

177-y-17 = 2/3 (y + 25)

160-y = 2/3 (y + 25)

3 (160-y) = 2 (y + 25)

480-3y = 2y + 50

-3y-2y = 50-480

-5y = -430

y = 430/5

y = 86

Vì x = 177-y

x = 177-86

x = 91

Do đó hai số là 86 và 91

5 0
3 years ago
Triangles ABC and DEF are similar triangles. What are the lengths of the unknown sides?
Aleksandr-060686 [28]

Answer:

D)

DF = 52

AB = 48

Step-by-step explanation:

Use the two lengths of sides already given.

Divide to find the scale factor:

20 / 5 = 4

Scale factor: 4

Now multiply to find the unknown sides:

13 × 4  = 52

12 × 4 = 48

DF = 52

AB = 48

Hope this helped.

7 0
3 years ago
A bag contains green marbles and blue marbles, 55 in total. The number of green marbles is 7 more than 5 times the number of blu
MrRissso [65]

Answer:

Step-by-step explanation:

Total marbles in bag= 55

Given that

The number of green marbles is 7 more than 5 times the number of blue marbles.

Let green marble be x

And blue marble be y

Therefore,

Green=seven more than 5 times blue

Green=7+5timesblue

x=7+5y. Equation 1

Also the sum of the marbles is 55

x+y=55. Equation 2

Substitute equation 1 into 2

7+5y+y=55

7+6y=55

6y=55-7

6y=48

y=48/6

y=8

From equation 2

x+y=55

Then, x=55-y

x=55-8

x=47

Then, green marbles is 47.

Also, Blue marbles is 8

7 0
4 years ago
Multiply (2x2 + 3x − 6)(x − 1)
Grace [21]
For this question, it is reasonable to use the foil method. In order to use FOIL we need to understand what it stands for: 
F-First
O-Outside
I-Inside
L-Last
(see attachment for visual) 
Let's get started. 
We are given: 
(2x^2 + 3x - 6)(x -  1)
Start by distributing the 2 first, then the 3, and then lastly the -6
<span><span><span><span><span><span><span>(<span>2x^2</span>)</span>(x)</span>+<span><span>(<span>2x^2</span>)</span><span>(−1)</span></span></span>+<span><span>(3x)</span>(x)</span></span>+<span><span>(3x)</span><span>(−1)</span></span></span>+<span><span>(−6)</span>(x)</span></span>+<span><span>(−6)</span><span>(−1)
From here multiply the terms you have gathered from FOILING: 
</span></span></span>2x^3-2x^2+3x^2-3x-6x+6

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example: 
3c and 4c are like terms because they have the same variables 
24 and 50 are like terms because they are simply numbers without any variables.  
It is best to put the like terms together in parentheses so that it is easier to combine them. 
(2x^3)+(-2x^2+3x^2)+(-3x-6x)+(6)&#10;
Combine: 
2x^3+x^2-9x+6&#10;

Final answer: 2x^3+x^2-9x+6
If you have an further questions, please do not hesitate to comment below! Have a nice day! :) 

8 0
4 years ago
Read 2 more answers
How many meters are in a yard
Kruka [31]
1 yard = 0.9144 meter
3 0
4 years ago
Read 2 more answers
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