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love history [14]
1 year ago
10

In the figure, m ll n. If the measure of angle 8 is (4x +7) and the measure of angle 2 is 107 degrees, what is the value of x? E

xplain.

Mathematics
1 answer:
Archy [21]1 year ago
3 0

Given:

\begin{gathered} m\angle8=4x+7 \\ m\angle2=107 \end{gathered}\begin{gathered} 4x+7+107=180\degree \\ 4x+114=180 \\ 4x=180-114 \\ 4x=66 \\ x=16.5 \end{gathered}

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Answer:

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8 0
3 years ago
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1 point
stepan [7]

Answer:

y = 250x

Step-by-step explanation:

<em>The options are not given; however, the question can still be answered.</em>

Given

Direct Proportion:

In 20 minutes, y = 250 bottles

Required

Determine the graph

<em>In the first 20 minutes, y = 250</em>

<em>In the next 20 minutes, y = 250 + 250 = 500</em>

<em>In the next 20 minutes, y = 500 + 250 = 750</em>

<em />

This gives a arithmetic sequence:

250, 500, 750, ........

Next, is to determine the equation of the sequence using;

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T_n = y

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a = 250

d = 750 - 500 = 500 - 250 = 250

Substitute these values in the above formula;

y = 250 + (x - 1) * 250

Open Bracket

y = 250 + 250x - 250

Collect Like Terms

y = 250x + 250 - 250

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