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Travka [436]
3 years ago
8

The measure of one angle is thirteen less than five times the measure of another angle. The sum of the measures of the two angle

s is 140°. Determine the measure of each angle in degrees.
Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

The two angles are 25.5 and 114.5

Step-by-step explanation:

<u><em>x = measure of one angle </em></u>

<u><em>5x - 13 = measure of the other angle {one angle is 13 less than 5 times the other} </em></u>

<u><em> x + 5x - 13 = 140 {sum of the two angles is 140} </em></u>

<u><em>6x - 13 = 140 {combined like terms} </em></u>

<u><em> 6x = 153 {added 13 to each side} </em></u>

<u><em>x = 25.5 {divided each side by 6} </em></u>

<u><em>5x - 13 = 114.5 {substituted 25.5, in for x, into 5x - 13}</em></u>

<u><em /></u>

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lisov135 [29]

Answer:

13 , 17 and 25 cm.

Step-by-step explanation:

Let the length of the first side be x cm.

Then the second is x+4 and the third is  2x-1 cm long.

As the perimeter = 55 cm we have the equation:

x + x + 4 + 2x - 1 = 55

4x + 3 = 55

4x = 52

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3 years ago
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hodyreva [135]

We need to find the expression for " number_of_prizes is divisible number_of_participants". Also there should not remain any remainder left. On in order words, we can say the reaminder we get after division is 0.

Let us assume number of Prizes are = p and

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If we divide number of Prizes by number of participants and there will be not remainder then there would be some quotient remaining and that quotent would be a whole number.

Let us assume that quotent is taken by q.

So, we can setup an expression now.

Let us rephrase the statement .

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In fraction form we can write

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4 0
3 years ago
Triangle PQR has the coordinates P(2,4), Q(-2,4), R(0,-5).
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Answer:

I hope I got this correct.

Step-by-step explanation:

Multiply the coordinates by 2.

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For the future if you get stuck, multiply the coordinates by the dilation number.

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2 years ago
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Answer with Step-by-step explanation:

The height of the ball from the ground as a function of time is given by

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