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Valentin [98]
3 years ago
14

Explain why the expressions 10 • 16 + 5 and (10 • 16) + 5 are equivalent.

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

These two equations are equivalent because the order of operations states you work from the right to the left and do the multiplication first. Because we do the multiplication first, we get the same answer as the other equation because the parentheses are also done first, meaning these equations both get the same answer.

Step-by-step explanation:

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The trapezoid ABCD has angle C=70 degrees and D=50 degrees. Find the size of angle A and angle B
uranmaximum [27]

Angle A = 130° and Angle B = 110°

Solution:

Given ABCD is a trapezoid with ∠C = 70° and ∠D = 50°

If ABCD is a trapezoid, then AB is parallel to CD.

AD is a transversal to AB and CD and

BC is a tranversal to AB ad CD.

Sum of the interior angles on the same side are supplementary.

∠A + ∠D = 180°

⇒ ∠A + 50° = 180°

Subtract 50° on both sides to equal the expression.

⇒ ∠A = 180° – 50°

⇒ ∠A = 130°

Similary, ∠B + ∠C = 180°

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⇒ ∠B = 180° – 70°

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3 years ago
Dustin bought a dvd player that was markrd doen from 150 to 100 find the percent of decrease
cricket20 [7]
It was 150, went down to 100, so it went 50 bucks.

now, if we take 150 as the 100%, what is 50 off of it in percentage?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
150&100\\
50&p
\end{array}\implies \cfrac{150}{50}=\cfrac{100}{p}\implies p=\cfrac{50\cdot 100}{150}
4 0
3 years ago
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