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3 years ago

find the measure of the third angle of a triangle given that the first two angels are 44 degrees and 72 degrees

Mathematics

2 answers:

dangina [55]3 years ago

6 0

Let the third angle be x.

The sum of the interior angles of all triangles is 180 degrees. Thus, you can set the interior angles' sum equal to 180 and solve for the third angle, x.

44 + 72 + x = 180

116 + x = 180 (collect like terms)

x = 64 (subtract 116 from both sides)

Answer:

The measure of the third angle is 64 degrees.

Irina-Kira [14]3 years ago

4 0

The total measure of the angles in a triangle is 180 degrees.

We know that two of them are 44 and 72 degrees.

We can use this information to solve for the third angle:

180 - (44 + 72) = 64 degrees.

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4 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

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3 years ago

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Answer:

2nd option is correct...................................

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2 years ago

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Answer:

ita A hope it helps

Step-by-step explanation:

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alexandr402 [8]

Answer:

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3 years ago