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klemol [59]
4 years ago
7

Select the correct answer from each drop-down menu. In the figure, line segment AB is parallel to line segment CD. The measure o

f angle C is degrees, and the measure of angles D is degrees.

Mathematics
1 answer:
victus00 [196]4 years ago
3 0
<h3>Answer:</h3>

∠C = 40°

∠D = 75°

<h3>Step-by-step explanation:</h3>

AB ║ CD, so AD and BC are transversals. The angle pairs (A, D) and (B, C) are "alternate interior angles", hence congruent.

∠C = ∠B = 40°

∠D = ∠A = 75°

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Step-by-step explanation:

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Which ordered pair is a solution of the equation? y-3=5(x-2) A.) (2,3) B.) (3,2) C.) Both D.) Neither
White raven [17]

Answer:

A is the only solution.

Step-by-step explanation:

A simple way to solve it is to plug in the x and y values

For A, we plug in 2 for x and 3 for y

3-3=5(2-2)

0=5(0)

0=0

Ordered pair A is a solution

For B, plug in 3 for x and 2 for y

2-3=5(3-2)

-1=5(1)

-1 does not equal 5

Therefore only A is a solution

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3 years ago
How many ways can two marbles be chosen from a set of five marbles?<br> 5<br> 10<br> 15<br> 20
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The answer is 20.

Step-by-step explanation:

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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>

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

<u>Algebra I</u>

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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
URGENT URGENT helppps plz
Murljashka [212]

Answer:

1) Bigger sector = 168.8pi

1) Smaller sector = 56.3pi

2) Bigger sector = 529.9

3) Smaller sector = 176.6

Step-by-step explanation:

1) Bigger sector =  \frac{270}{360}×pi×15×15

                          = 168.75pi

1) Smaller sector = \frac{360-270}{360}×pi×15×15

                             = \frac{90}{360}×pi×15×15

                             = 56.25pi

2) Bigger sector =  \frac{270}{360}×3.14×15×15

                           = 529.875

2) Smaller sector = \frac{360-270}{360}×3.14×15×15

                             = \frac{90}{360}×3.14×15×15

                             = 176.625

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