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marshall27 [118]
3 years ago
11

Please Help! Given parallelogram ABCD with the measures shown, what is the Measure of 5?

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

Answer:

m\angle 5=76\degree.

Step-by-step explanation:

In the given parallelogram, line AC is a transversal.

Using the alternate interior angles theorem,

m\angle 5=76\degree.

You can observe this by tracing a Z-pattern.

You will then observe that m<5 and the 76\degree angles are alternate interior angles.

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Given the system of equations: ax + by = 12 2x + 8y = 60, where a and b are constants. If the system is consistent and dependent
Gre4nikov [31]

Answer:

a = 0.4 and b=1.6

Step-by-step explanation:

Both expressions are simply divided

(2x + 8y = 60) ÷ (ax + by = 12)

60÷12 = 5, Hence coefficient of x and y in the bigger equation is divided by 5 to find a and b

2/5 = 0.4 = a

8/5= 1.6 = b

4 0
3 years ago
Solve systems of equations for y and x: <br><br> −5y + 8x = −18<br><br> 5y + 2x = 58​
Natali5045456 [20]

Answer:

(4, 10)

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<u> </u>

Equality Properties<u> </u>

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

<u>Algebra I</u>

  • Coordinates (x, y)
  • Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-5y + 8x = -18

5y + 2x = 58

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

<em>Elimination</em>

  1. Combine 2 equations:                                                                                      10x = 40
  2. [Division Property of Equality] Divide 10 on both sides:                                x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Substitute in <em>x</em> [Original equation]:                                                                  -5y + 8(4) = -18
  2. Multiply:                                                                                                             -5y + 32 = -18
  3. [Subtraction Property of Equality] Subtract 32 on both sides:                      -5y = -50
  4. [Division Property of Equality] Divide -5 on both sides:                                y = 10
7 0
3 years ago
Ashley bought some books for $3 each received a discount of $6 off of her total purchase.She spent $45 after the discount.HOw ma
Bezzdna [24]

Let x equal the number of books bought.

45 = 3x - 6

(This is the answer because $45 is the total price, each book is $3, and $6 is discounted from the actual price.)

4 0
3 years ago
Multiply (−4)(−2)(−5).<br><br> A: −40<br><br> B: −8<br><br> C: 8<br><br> D: 40
lilavasa [31]
A is the answer because ur just multiplying them all together  like there was no parenthesis. 
5 0
4 years ago
Read 2 more answers
Arun’s restaurant bill is $58, and he wants to leave the waiter an 18 percent tip. What will Arun’s total bill be? $10.44 $47.56
Alla [95]

Answer:

$68.44 will be the total bill.

Step-by-step explanation:

18/100 = .18

58 x .18 = 10.44

58 + 10.44 = 68.44

:)

8 0
3 years ago
Read 3 more answers
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