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Rama09 [41]
3 years ago
12

A triangle has two angles measuring 90 and 50%, calculate the third angle of the triangle,

Mathematics
2 answers:
nataly862011 [7]3 years ago
8 0

Answer: B. 40

Step-by-step explanation: A triangle’s angles will always add up to 180 degrees. Add the 2 angles that are given. 90 + 50 = 140. Subtract this number from 180. 180 - 140 = 40. The third angle is 40 degrees.

anzhelika [568]3 years ago
7 0

Answer:

40°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180 for third angle

third angle = 180° - (90 + 50)° = 180° - 140° = 40°

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B. Between x 2 and x 3

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Part A. Write an equation of a line that is perpendicular to the line y = 2/3x + 5 and passes through the point (4, 0).
fenix001 [56]

Answer:

y = -\frac{3}{2}x+6

Step-by-step explanation:

Given:

The given equation of the line y = \frac{2}{3} x + 5 that passes through the point (4, 0).

Part A.

The equation of the line.

y=mx+c-----------(1)

Where:

m = Slope of the line

c = y-intercept

The given equation of the line.

y = \frac{2}{3} x + 5

Comparing the given equation with equation 1.

The slope of the line is m=\frac{2}{3} and y-intercept c = 5

We know that the slope of the perpendicular line is (-\frac{1}{m}).

So the slope of the perpendicular line is (m=-\frac{1}{\frac{2}{3}}=-\frac{3}{2}).

Using point slope formula we write the equation of the perpendicular line that passes through the point (4, 0).

y-y_{1} = m(x-x_{1}

Now we substitute the slope of the perpendicular line m=-\frac{3}{2} and y_{1} = 0, x_{1}=4 from point (4, 0) in above equation.  

y-0 = -\frac{3}{2}(x-4)

y = -\frac{3}{2}x-(-\frac{3}{2}\times 4)

y = -\frac{3}{2}x-(-3\times 2)

y = -\frac{3}{2}x-(-6)

y = -\frac{3}{2}x+6

Therefore the perpendicular line equation is y = -\frac{3}{2}x+6.

Part B.

1. The slope of the perpendicular line is m=-\frac{3}{2}.

2. The y-intercept of the perpendicular line is 6.

3. The equation of the line y = -\frac{3}{2}x+6 is perpendicular to the equation of line y = \frac{2}{3} x + 5.

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Answer:

  1. A. contain a right angle

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Step-by-step explanation:

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<h3>1.</h3>

The figures in Circle A do not all have the same number of sides, or sides of the same length. However, they do all have at least one right angle.

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An isosceles triangle has two sides equal length and two equal angles. An equilateral triangle is a special case of an isosceles triangle in which all three sides are equal, as are all three angles. The description that applies to both kinds of triangles is 2 sides of equal length.

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