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GenaCL600 [577]
3 years ago
10

The measures of the angles of ABC are given by the expressions in the table A( 6X - 1 ) ° B 20° C ( x + 14 ) ° what are the meas

ures of angles A and C ? Enter your answers in the boxes mA = mC = ​
Mathematics
1 answer:
lawyer [7]3 years ago
7 0

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees. This means that in triangle ABC,

Angle A + angle B + angle C = 180

Therefore,

6x - 1 + 20 + x + 14 = 180

6x + x + 20 + 14 - 1 = 180

7x + 33 = 180

Subtracting 33 from the left hand side and the right hand side of the equation, it becomes

7x + 33 - 33 = 180 - 33

7x = 147

Dividing the left hand side and the right hand side of the equation by 7, it becomes

7x/7 = 147/7

x = 21

Therefore

Angle A = 6x - 1 = 6 × 21 - 1

Angle A = 125 degrees

Angle C = x + 14 = 21 + 14

Angle C = 35 degrees.

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Answer:

25.047 or roughly 25.

Step-by-step explanation:

I solved it wrong the first time then i double check with wolframalpha and got the correct number.

We know that the area of the tile is 18 \sqrt{3} and it makes a triangle, we also know the base and height. In this case the base is 2\sqrt{3}^{x/12} and the height is also given which is \sqrt{3}^{\frac{x}{6} }.

Area of triangle = \frac{bh}{2},

substituting we will end up with  18 \sqrt{3}  =( 2\sqrt{3}^{x/12}  *  \sqrt{3}^{\frac{x}{6} }) / 2

Here is the tricky part \sqrt{x} = x^{\frac{1}{2} }, i totally forgot about that lol.

Simplifying: we will get  18 \sqrt{3} = 3^{\frac{x}{8} }

Now, in order to find the x, we will need to take the log of both sides.

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Solving for x we end up getting:

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where x = 25.047.

To be honest I deserve a nobel prize not a brainliest lol.

Good question bro, take it easy.

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3 years ago
Mary is preparing for her college entrance exams in a practice test she answered 12 problems in 30 minutes at this rate how many
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Step-by-step explanation:

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