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melomori [17]
3 years ago
6

The points (2,4) and (-2,-4) are plotted on a coordinate plane the equation is y = a * x what is A?

Mathematics
1 answer:
laila [671]3 years ago
5 0

A equals to 2.

<u>Step-by-step explanation:</u>

y = mx + c is the equation of the line and m is the slope and c is the y- intercept.

In the given equation, y = ax , a is the slope.

Slope A can be found by means of the formula, and using the points (2,4) and (-2-4)

slope, A = (y₂ -y₁) /  (x₂-x₁)

Plugin the values as,

A = (-4-4) / (-2-2) =  (-8) / (-4) = 2

So the value of A is 2.

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A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
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Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

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Angle sum property,

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\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

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∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

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∴ Hence, the measure of the third angle of the triangle is 140°.

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