Geometry help!! How did they get this answer?

Mathematics

1 answer:

Illusion [34]3 years ago

4 0

The sum of all the angles in a triangle is 180 degrees. The triangle in the picture is also an equilateral triangle because of the markings on it (the three arches and ticks show that the sides with the markings are congruent.)

So since an equilateral triangle has 3 angles and the angles are congruent, we can divide 180 by 3 to find out how many degrees each angle is; 60 degrees.

Since all angles are equal, angle A = angle B = angle C = 60 degrees.

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Can someone give me the answer to all 3 of those

Verizon [17]

Answer:

sorry bro but i suck at math

Step-by-step explanation:

good luck tho =)

6 0

2 years ago

Solve 3cot (2x) =- Route3 for<br> x, 0 = x < 360

ivolga24 [154]

Answer:

x=60,150,240,330

Step-by-step explanation:

$3 \cot(2x) = - \sqrt{3}$

$\cot(2x) = \frac{ - \sqrt{3} }{3}$

Take the arc cot of both sides

$\cot {}^{ - 1} ( \cot(2x) ) = \cot {}^{ - 1} ( \frac{ - \sqrt{3} }{3} )$

$2x = 120$

Remember cotangent has a period of 180 degrees

$2x = 120 + 90(n)$

where n is 0, 1,2,3,4,5.....

Isolate x.

$x = 60 + 90(n)$

where n is 0, 1,2,3,4,5,6.

Keep plugging in integers as long they are in the interval [0,360].

We get

60,150,240,330.

6 0

2 years ago

How to solve this problem?

valentinak56 [21]

Very nice handwriting but the math and English are confusing.

Let's assume we're told

$\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2$

The subscript is important.

I think we're told the similar sum with 11 gives the smallest possible value for the sum. This is a rather cagey way of telling us 11 is the mean of the nine points. The mean is the number which minimizes the sum of squared deviations.

$\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2 = \sum x_i^2 - 20 \sum x_i + 9(100)$