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Kryger [21]
1 year ago
10

How do I find the answer to x and y?

Mathematics
1 answer:
Vlada [557]1 year ago
8 0

First, the angles of triangle MNP add up to 180º.  Since angle M is 142º and angle P is 24º, angle N must be (180-24-142)º or 14º.

Now angle N is congruent to angle U.  

      2x - 50 = 14

              2x = 64

                x = 32

Segment NP is congruent to segment US, so 13 = 2x - y AND x=32.

    13 = 62 - y

     y = 49

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Can someone help me with these and show the work also?
Snezhnost [94]

QUESTION:

Simplify each expression

ANSWER:

1.) \green{{- 8n}}

2.) \green{{- 2b - 60}}

3.) \green{{- 10x - 14}}

4.) for number 4 study my step-by-step explanation so you can answer that

STEP-BY-STEP EXPLANATION:

1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1

WHY?

Learn why:

Why is it considered that the coefficient is 1?

Remember that any term multiplied by \blue{{1}} remains the same :

\blue{{1}} {× x = x}

Step 1:

The equality can be read in the other way as a well, so any term can be written as a product of \blue{{1}} and itself:

{x = } \blue{{1}} {× x}

Step 2:

Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:

{x = 1x}

This is why we can write the term without the coefficient as a term with coefficient {1}

Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1

{n - 9n}

\red{{1}} {n -9n}

Second, Collect like terms by subtracting their coefficients

\red{{1n - 9n}}

\red{{( 1 - 9)n}}

Third, Calculate the difference

how?

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger

\red{{1 - 9}}

\red{{- (9 - 1)}}

Subtract the numbers

- (\red{{9 - 1}})n

- \red{{8}}n

\green{\boxed{- 8n}}

2.) First, Distribute - 6 through the parentheses

how?

Multiply each term in the parentheses by - 6

\red{{- 6(b + 10)}}

\red{{- 6b - 6 × 10}}

Multiply the numbers

- {6b} - \red{{6 × 10}}

- {6b} - \red{{60}}

Second, Collect like term

how?

Collect like terms by calculating the sum or difference of their coefficient

\red{{- 6b + 4b}}

\red{{(- 6 + 4)b}}

Calculate the sum

\red{{(- 6 + 4)}}b

\red{{-2}}b

\green{\boxed{- 2b - 60}}

3.) First, Distribute 2 through parentheses

how?

Multiply each term in the parentheses by 2

\red{{2(x - 5)}}

\red{{2x - 2 × 5}}

Multiply the numbers

{2x -} \red{{2 × 5}}

{2x -} \red{{10}}

Second, Distribute - 4 through the parentheses

how?

Multiply each term in the parentheses by - 4

\red{{- 4(3x + 1)}}

\red{{- 4 × 3x - 4}}

Calculate the product

- \red{{4 × 3}}x - 4

- \red{{12}}x - 4

Third, Collect like terms

how?

Collect like terms by subtracting their coefficient

\red{{2x - 12x}}

\red{{(2 - 12)x}}

Calculate the difference

\red{{(2 - 12)}}x

\red{{- 10}}x

Fourth, Calculate the difference

how?

Factor out the negative sign from the expression

\red{{- 10 - 4}}

\red{{- (10 + 4)}}

Add the numbers

- (\red{{10 + 4}})

- \red{{14}}

\green{\boxed{- 10x - 14}}

That's all I know sorry but I hope it helps :)

6 0
2 years ago
How do i find the perimeter and area of the triangle with these points? The directions say to round to the nearest tenth. A (‐1,
lbvjy [14]
The perimeter is 9.2 i think
3 0
3 years ago
18. Find " y " when x = -4.25<br>y = 20x - 16x²​
sveta [45]

Answer:

204

Step-by-step explanation:

Plug it into a calculator

or

20 multiplied by -4.25 then subtracted by 16 times -4.25 squared.

4 0
3 years ago
1 2/3 + 4 1/3 equals?
ahrayia [7]

Answer:

6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Factorise 21ax+10by-35ay-6bx<br>with working pls​
wolverine [178]

Answer:

<h2>( 7a - 2b ) ( 3x - 5y )</h2>

<u>Step-by-step explanation:</u>

21ax + 10by - 35ay - 6bx

21ax - 35ay - 6bx + 10by

7a ( 3x - 5y ) - 2b ( 3x - 5y )

( 7a - 2b ) ( 3x - 5y )

3 0
2 years ago
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