Veronique tried four different solutions to the matching problem shown. Which of her four answers would be thecorrect one?
Term
variable
Definition
a numerical factor of a term that has a
variable
a letter or symbol used to represent an
unknown quantity
a term without a variable
coefficient
constant
Definition
Term
a numerical factor of a term
that has a variable
variable
coefficient
a letter or symbol used to
represent an unknown quantity
a term without a variable
constant​

We can use the is/of=p/100 method for this problem. Since it's 15% off, this would mean that the bill is 85% of what it was initially. Plug the values into the is/of=p/100 formula.

36.72/x = 85/100

Solve  for x.

x=36.72/0.85

x=43.2

So, the bill was $43.20 before applying the voucher discount of 15% off.

The answer is 244.80

You can calculate this by taking 36.72 and dividing it by 0.15 (15%). You would do this because it is the opposite of multiplying an original number by 0.15 (15%) to get 36.72.

Hope It helps!

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Here, we are required to find the value of the other angles in the diagram attached to this answer sheet.

The value of the angles are;

• m∠1 = 82°
• m∠2 = 98°
• m∠3 = 23°
• m∠4 = 59°
• m∠5 = 121°
• m∠6 = 51°
• m∠7 = 59°
• m∠8 = 70°
• m∠9 = 51°
• m∠10 = 129°

The understanding of the triangle theorem and line theorems is very important to resolve this.

• The sum of angles in a triangle = 180⁰.
• The sum of angles on a straight line = 180⁰
• Alternate angles are equal.

m∠1 + m∠2 = 180°(Theorem:sum of angles on a straight line =180⁰)

m∠1 + 98 = 180

m∠1 = 180 - 98

• m∠1 = 82°

m∠2 + m∠3 + m∠7 = 180° (Theorem=sum ofangles in a triangle = 180⁰)

98 + 23 + m∠7 = 180

m∠7 + 121 = 180

m∠7 = 180 - 121

• m∠7 = 59°

m∠4 = m∠7 (Theorem = alternate angles are equal)

• m∠4 = 59°

m∠6 + m∠7 + m∠8 = 180° (Theorem = sum of angles on a straight line = 180)

m∠6 + 59 + 70 = 180

m∠6 + 129 = 180

m∠6 = 180 - 129

• m∠6 = 51°

m∠4 + m∠8 + m∠9 = 180° (Theorem = sum of angles in a triangle = 180)

59 + 70 + m∠9 = 180

m∠9 + 129 = 180

m∠9 = 180 - 129

• m∠9 = 51°

m∠4 + m∠5 = 180° (Theorem = sum of angles on a straight line = 180)

m∠5 + 59 = 180

m∠5 = 180 - 59

• m∠5 = 121°

m∠10 + m∠9 = 180° (Theorem = sum of angles on a straight line = 180⁰)

m∠10 + 51 = 180

m∠10 = 180 - 51

• m∠10 = 129°

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Answer:

The answer is below

Step-by-step explanation:

The complete question is given in the image attached below

m∠1 + m∠2 = 180° (sum of angles on a straight line)

m∠1 + 98 = 180

m∠1 = 180 - 98

m∠1 = 82°

m∠2 + m∠3 + m∠7 = 180° (sum of angles in a triangle)

98 + 23 + m∠7 = 180

m∠7 + 121 = 180

m∠7 = 180 - 121

m∠7 = 59°

m∠4 = m∠7 (alternate angles)

m∠4 = 59°

m∠6 + m∠7 + m∠8 = 180° (sum of angles on a straight line)

m∠6 + 59 + 70 = 180

m∠6 + 129 = 180

m∠6 = 180 - 129

m∠6 = 51°

m∠4 + m∠8 + m∠9 = 180° (sum of angles in a triangle)

59 + 70 + m∠9 = 180

m∠9 + 129 = 180

m∠9 = 180 - 129

m∠9 = 51°

m∠4 + m∠5 = 180° (sum of angles on a straight line)

m∠5 + 59 = 180

m∠5 = 180 - 59

m∠5 = 121°

m∠10 + m∠9 = 180° (sum of angles on a straight line)

m∠10 + 51 = 180

m∠10 = 180 - 51

m∠10 = 129°

Step-by-step explanation:

1/3 + 2/9 = 3/9 + 2/9 = 5/9

Topic: Fractions

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Answer:

5/9

Step-by-step explanation:

Answer:

B

Step-by-step explanation: