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2 years ago

Can someone help me here

Mathematics

2 answers:

vodka [1.7K]2 years ago

3 0

Answer:

Step-by-step explanation:

Problem 12

Comment

A cyclic quadrilateral (a 4 angled quadrilateral where all 4 corners touch the circumference of a circle), has the property that opposite angles add up to 180 degrees.

Formula

4x + 9 + 3x + 3 = 180 Collect like terms

Solution

4x + 3x + 9 + 3 = 180 Combine

7x + 12 = 180 Subtract 12 from both sides

7x + 12 -12 = 180 - 12 Combine

7x = 168 Divide by 7

7x/7 = 168/7

x = 24

Answer

x = 24

Problem 13

Comment

Same comment as was given for problem 12

Formula

3x + 2 + 3x - 32 = 180 Collect like terms

Solution

3x + 3x +2 - 32 = 180 Combine

6x - 30 = 180 Add 30 to both sides

6x -30+30 = 180 + 30

6x = 210 Divide by 6

6x/6 = 210/6

x = 35

Answer

x = 35

tiny-mole [99]2 years ago

3 0

Hey there!

[QUESTION #12]
EQUATION: 4x + 9 + 3x + 3 = 180°

4x + 9 + 3x + 3 = 180°

COMBINE the LIKE TERMS

(4x + 3x) = (9 + 3) = 180°
4x + 3x + 9 + 3 = 180°

7x + 12 = 180°

SUBTRACT 12 to BOTH SIDES

7x + 12 - 12 = 180 - 12

SIMPLIFY IT!
7x = 180 - 12

7x = 168

DIVIDE 7 to BOTH SIDES

7x/7 = 168/7

SIMPLIFY IT!
x = 168/7

x = 24

Therefore, the answer should be:

x = 24

[QUESTION #13]

EQUATION: 3x + 2 + 3x - 32 = 180°

3x + 2 + 3x - 32 = 180°

COMBINE the LIKE TERMS

(3x + 3x) + (2 - 32) = 180°
3x + 3x + 2 - 32 = 180°

6x - 30 = 180°

ADD 30 to BOTH SIDES

6x - 30 + 30 = 180 + 30

SIMPLIFY IT!
6x = 180 + 30

6x = 210

DIVIDE 6 to BOTH SIDES

6x/6 = 210/6

SIMPLIFY IT!
x = 210/6

x = 35

Therefore, the answer should be:

x = 35

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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A number is :

$x$

_________________________________

Three quarters of it means :

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Decrease by 20 means :

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Equals to 82 means :

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