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kolbaska11 [484]
3 years ago
12

given the parallel lines cut by. a transversal , determine the value of x . please help due in 30 minutes

Mathematics
2 answers:
Mademuasel [1]3 years ago
7 0

Answer:

x = 20

Step-by-step explanation:

The angles are same side interior angles so the add to 180

3x-10 + 5x+30 = 180

Combine like terms

8x +20 =180

Subtract 20 from each side

8x+20 -20 =180-20

8x = 160

Divide by 8

8x/8 =160/8

x = 20

Tresset [83]3 years ago
3 0

Answer: x = 25

Step-by-step explanation:

When lines are parallel, the same side interior angles are supplementary, meaning they add up to 180 degrees. So to find x, you would add the two expressions and make it equal to 180 degrees.

3x - 10 + 5x + 30 = 180

8x - 20 = 180

8x = 200

x = 25

The answer is x=25

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2) Evaluate the given numerical expression.<br><br> A) 9<br> B) 12<br> C) 14<br> D) 21
eduard

Answer:

  • \boxed{\sf{14}}

Step-by-step explanation:

\boxed{\underline{\text{ORDER OF OPERATIONS:}}}

Use the order of operations.

Note: PEMDAS or BODMAS stands for:

<u>PEMDAS</u>

  • <u>Parentheses</u>
  • <u>Exponents</u>
  • <u>Multiply</u>
  • <u>Divide</u>
  • <u>Add</u>
  • <u>Subtract</u>

<u>BODMAS</u>

  • <u>Brackets</u>
  • <u>Order</u>
  • <u>Divide</u>
  • <u>Add</u>
  • <u>Subtract</u>

<u>First, do parentheses.</u>

3+6*(5+4)÷3-7

(5+4)=9

\Longrightarrow: \sf{3+6* 9\div 3-7}

<u>Do multiply and divide.</u>

6*9=54

54/3=18

<u>Then, rewrite the problem down.</u>

\Longrightarrow: \sf{3+18-7}

<u>Add.</u>

\sf{3+18=21}

\sf{21-7=\boxed{\sf{14}}

\Longrightarrow: \boxed{\sf{14}}

  • <u>Therefore, the correct answer is "C. 14".</u>

I hope this helps, let me know if you have any questions.

8 0
2 years ago
He earned a salary of $80,000 last year and sold stocks for $5,000. Which of the following types of income did Padraig have?
PSYCHO15rus [73]

Answer:

Step-by-step explanation:

There are 3 main types of income one can generate. They are termed as the earned income, the passive income and the capital gains income. Earned income is the compensation you get from working or offering a service. Passive income is the type of income you generate from what you own or your assets. Lastly, Capital gains income, also called "portfolio income", is the money generated from selling investments at a much higher price. Padraig have two type of income here. He had earned income by receiving the $80000 salary and he had capital gains income for selling stocks for $5000.

3 0
3 years ago
Find the y-intercept and the slope of 12x-4y=7
den301095 [7]

Answer:

The slope is 3 and the y intercept is -7/4

Step-by-step explanation:

We need to get the equation in the form

y = mx+b where m is the slope and b is the y intercept

12x - 4y =7

Subtract 12x from each side

12x-12x -4y = -12x +7

-4y = -12x+7

Divide each side by -4

-4y/-4 = -12x/-4 +7/-4

y = 3x + -7/4

The slope is 3 and the y intercept is -7/4

8 0
3 years ago
Read 2 more answers
If f(x) = (x + 7)2 and g(x) = x2 +9,
Talja [164]

ANSWER : D

EXPLANATION : 81 > 13 is true

3 0
3 years ago
What is the slope of the line through (-3, 3) and (-1,-1)?
stira [4]
It’d be B, -2

You move right one space and then down two spaces
5 0
2 years ago
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