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vichka [17]
3 years ago
5

If l is parallel to m, solve for x and y.

Mathematics
2 answers:
lozanna [386]3 years ago
6 0

Answer:x=17, y=9

Step-by-step explanation:

(5x - 38)° = (3x - 4)°

2x = 34

x=17

(5(17)-38))=47

90°+47°+(7y-20)=180°

7y-20=43°

y=9

adelina 88 [10]3 years ago
3 0

Answer:

x=17, y=9

Step-by-step explanation:

(5x - 38)° = (3x - 4)°

2x = 34

x=17

(5(17)-38))=47

90°+47°+(7y-20)=180°

7y-20=43°

y=9

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What is the simplest form of the fraction<br> 4/10
Alecsey [184]
Both the numerator and the denominator are divisible by 2.

(4/2)/(10/2) so the simplest form would then be 2/5

Your answer is: 2/5
6 0
3 years ago
Read 2 more answers
8x - (2x - 13) = 42<br>solve and check the equation​
pantera1 [17]

Answer:

x = 29/6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

8x - (2x - 13) = 42

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Distributive Property] Distribute negative:                                                     8x - 2x + 13 = 42
  2. [Subtraction] Combine like terms:                                                                    6x + 13 = 42
  3. [Subtraction Property of Equality] Subtract 13 on both sides:                        6x = 29
  4. [Division Property of Equality] Divide 6 on both sides:                                 x = 29/6

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                                                                                                  8(29/6) - [2(29/6) - 13] = 42
  2. Multiply:                                                                                                             116/3 - [29/3 - 13] = 42
  3. [Brackets] Subtract:                                                                                           116/3 - -10/3 = 42
  4. Subtract:                                                                                                            42 = 42

Here we see 42 does indeed equal 42.

∴ x = 29/6 is the solution.

7 0
3 years ago
Read 2 more answers
A square with an area of 64 in2 is rotated to form a cylinder. What is the radius of the cylinder?
romanna [79]
The area of the square is calculated through the equation,

                               Area = e²

where e is the measure of sides.
 
From the given,

                              64 = e²
                               e = sqrt 64 = 8 inches

The length of the side of the square rotated to form the cylinder is the diameter of the base of the cylinder. To get the radius, we divide the diameter by 2.

                             radius = 8 inches / 2 = 4 inches

Thus, the radius of the cylinder is equal to <em>4 inches</em>. 
5 0
4 years ago
9n + 18(2n - 6) + 13 No Links plz​
fgiga [73]

Answer:

9n+18(2n-6)+13

Step-by-step explanation:

First, use distributive property to eliminate the parenthesis:

9n + 18(2n -6) + 13

9n + 36n - 108 + 13

Next, combine like terms:

9n + 36n - 108 + 13

45n - 108 + 13

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Hope this helps!!

Alan~

3 0
3 years ago
Lyle purchased a motorcycle for $13,430. It depreciates about 4.1% each year. What is the value of the motorcycle after seven ye
erma4kov [3.2K]

Answer:

\$10,018.58  

Step-by-step explanation:

we know that

The  formula to calculate the depreciated value  is equal to  

V=P(1-r)^{x}  

where  

V is the depreciated value  

P is the original value  

r is the rate of depreciation  in decimal  

x  is Number of Time Periods  

in this problem we have  

P=\$13,430\\r=4.1\%=0.041\\x=7\ years

substitute the values

V=\$13,430(1-0.041)^{7}=\$10,018.58  

7 0
3 years ago
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