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klemol [59]
2 years ago
9

In parallelogram DEFG if m_DEF=110° find m_FGD. E 110° D G

Mathematics
1 answer:
Sergio039 [100]2 years ago
3 0

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

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Rearrange the formula A = <br> Θr2<br> 2<br> for Θ.
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Answer:

\theta=\frac{2A}{r^2}

Step-by-step explanation:

Given : The formula A=\frac{\theta r^2}{2}

We have to rearrange the given formula for \theta

Consider the given formula A=\frac{\theta r^2}{2}

Multiply both side by 2, we have,

2A={\theta r^2

Divide both side by r^2 , we have,

\frac{2A}{r^2}= \frac{\theta r^2}{r^2}

Simplify, we get,

\frac{2A}{r^2}=\theta

Thus, \theta=\frac{2A}{r^2}  

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2 years ago
Pizza Uno offers 2/3 of a small pizza for $3.50. Pizza Duo offers % of a small pizza for $4.20. How much does each charge for a
Phantasy [73]

Answers:

  • Pizza Uno = $5.25
  • Pizza Duo = $5.60

Those are the costs for a whole small pizza.

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Explanation:

Let

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  • y = cost of whole small pizza from Pizza Duo

x and y are some dollar amount, so they cannot be negative numbers. It also doesn't make sense to have them be 0 either. So we'll make them positive.

2/3 of x is equal to 3.50 as the first sentence mentions. This forms the equation (2/3)*x = 3.50

Multiply both sides by the reciprocal of 2/3 to isolate x

(2/3)*x = 3.50

(3/2)*(2/3)*x = (3/2)*3.50

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Pizza Uno charges $5.25 for a whole small pizza.

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Pizza Duo charges $4.20 for 3/4 of a small pizza, meaning the equation we need to solve is

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We'll use the same idea as the last equation to get...

(3/4)y = 4.20

(4/3)*(3/4)y = (4/3)*4.20

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Pizza Duo charges $5.60 for a whole small pizza.

Pizza Uno is the better deal (assuming both pizzas taste the same or you don't have a preference for either). You would save $5.60 - $5.25 = $0.35 = 35 cents.

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