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Naya [18.7K]
3 years ago
11

Use an algebraic equation to find the measure of each angle that is represented in terms of x.

Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

The measure of each angle is 117°

Explanation:

Given that the two angles are (11x-26)° and (7x+26)°

We need to determine the measure of each angle.

<u>Measure of angles:</u>

From the figure, it is obvious that the two angles are vertically opposite angles.

By definition, we know that, the vertically opposite angles are always equal.

To determine the measure of each angle, we shall first find the value of x.

Thus, we have,

11x-26=7x+26

 4x-26=26

        4x=52

          x=13

Thus, the value of x is 13

Now, substituting x=13 in the angle (11x-26)°, we get,

(11(13)-26)^{\circ}=(143-26)^{\circ}

                    =117^{\circ}

The measure of the angle is 117°

Similarly, substituting x=13 in the angle (7x+26)°, we get,

(7x+26)^{\circ}=(7(13)+26)^{\circ}

               =117^{\circ}

The measure of the angle is 117°

Hence, the measure of each angle is 117°

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In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

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