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ikadub [295]
3 years ago
10

I really need help with this, so please respond as soon a possible​

Mathematics
2 answers:
nexus9112 [7]3 years ago
8 0

Answer:

2x-3

Step-by-step explanation:

Rise over Run 2/1 =2x and the y Intercept is -3

marishachu [46]3 years ago
3 0

Answer:

Step-by-step explanation:

The graph is a straight line graph. The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the graph,

y2 = - 5

y1 = 1

x 2 = 1

x1 = -2

Slope = (- 5 -1)/(1 - -2) = -6/3 = -2

m = -2

The equation becomes

y = -2x + c

We need to determine c. Let us use (1,-5)

-5 = -2 ×1 + c

-5 = -2 + c

c = -5 + 2 = -3

The equation is

y = -2x -3

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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}

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\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}

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x=17

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\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}

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The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

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