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HELP ME PLEASEEE Write an equation and solve for the missing value. Show your work

HELP ME PLEASEEE Write An Equation And Solve For The Missing Value Show Your Work class=

Sagot :

felipesierra213

Answer:

1. x = 23

2. y = 14

3. n = 17.5

4. x = 12

5. n = 11

Step-by-step explanation:

Complementary angles are equal to 90°

Vertical angles are congruent, which means they are equal to each other.

Supplementary angles are equal to 180°

1.

2x - 3 + 47 = 90

Step 1: Combine like terms (-3 + 47)

2x - 3 + 47 = 90

2x + 44 = 90

Step 2: Subtract 44 from both sides

2x + 44 - 44 = 90 - 44

2x = 46

Step 3: Divide by 2 on both sides

2x/2 = 46/2

Step 4: Simplify

x = 23

2.

5y + 12 = 82

Step 1: Subtract 12 from both sides

5y + 12 - 12 = 82 - 12

5y = 70

Step 2: Divide by 5 on both sides

5y/5 = 70/5

Step 3: Simplify

y = 14

3.

4n - 5 + 115 = 180

Step 1: Combine like terms (-5 + 115)

4n -5 + 115 = 180

4n + 110 = 180

Step 2: Subtract 110 from both sides

4n + 110 - 110 = 180 - 110

4n = 70

Step 3: Divide by 4 on both sides

4n/n = 70/4

Step 4: Simplify

n = 17.5

4.

Since m∠XYZ = 110°

3x + 2 + 72 = 110

Step 1: Combine like terms (2 + 72)

3x + 2 + 72 = 110

3x + 74 = 110

Step 2: Subtract 74 from both sides

3x + 74 - 74 = 110 - 74

3x = 36

Step 3: Divide by 3 on both sides

3x/3 = 36/3

Step 4: Simplify

x = 12

5.

5n + 35 = 90

Step 1: Subtract 35 from both sides

5n + 35 - 35 = 90 - 35

5n = 55

Step 2: Divide by 5 on both sides

5n/5 = 55/5

Step 3: Simplify

n = 11

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