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olasank [31]
2 years ago
9

Calvin evaluated -2/3 *5 1/6 using the steps below.

Mathematics
1 answer:
matrenka [14]2 years ago
5 0

For this case we have to evaluate the following expression,

- \frac {2} {3} * 5 \frac {1} {6}

We must follow the steps below:

We convert the mixed number into a fraction:

- \frac {2} {3} * \frac {6 * 5 + 1} {6} =\\- \frac {2} {3} * \frac {31} {6} =

We multiply the fractions, taking into account that:

- * + = -\\- \frac {2 * 31} {3 * 6} =\\- \frac {62} {18} =

We simplify:

- \frac {31} {9}

We convert to mixed number:

-3 \frac {4} {9}

Answer:

-3 \frac {4} {9}

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What is 22+54x=-20+60x
krek1111 [17]

Answer:

7

Step-by-step explanation:

22+54x=20+60x

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4 0
3 years ago
I need to know if it’s A B C OR D
Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

\angle NMP+\angle NOP=180^0

Recall that

\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}

Hnece, we have that

\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}

Then

\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}

Hence

x=17

Since

\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

5 0
1 year ago
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