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bulgar [2K]
3 years ago
11

The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees

more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.
Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
6 0

Let the first angle be x

So, second angle = (x+15)°

and third angle= (x+ 45)°

Now,

x+ (x+15) + (x+45)= 180°. ( Triangle sum property)

x+x+x+15°+45° = 180°

3x+ 60° = 180°

3x= 180°-60°

3x= 120°

x= 120°/3

x= 40°

Now,

first angle=x= 40°

second angle = (x+15)°= 40°+15° = 55°

third angle= (x+45)° = 40°+45° = 85°

Hope it helps you. Please mark as brainliest if it does.

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NEED HELP ASAP 1 HOUR LEFT
katen-ka-za [31]

Using the vertex of a quadratic function, it is found that:

a) The revenue is maximized with 336 units.

b) The maximum revenue is of $56,448.

<h3>What is the vertex of a quadratic equation?</h3>

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

(x_v, y_v)

In which:

  • x_v = -\frac{b}{2a}
  • y_v = -\frac{b^2 - 4ac}{4a}

Considering the coefficient a, we have that:

  • If a < 0, the vertex is a maximum point.
  • If a > 0, the vertex is a minimum point.

The demand function is given by:

p(x) = 336 - 0.5x.

Hence, the revenue function is:

R(x) = xp(x)

R(x) = -0.5x² + 336x.

Which has coefficients a = -0.5, b = 336.

Hence, the value of x that maximizes the revenue, and the maximum revenue, are given, respectively, as follows:

  • x_v = -\frac{336}{2(-0.5)} = 336
  • y_v = -\frac{336^2 - 4(-0.5)(0)}{4(-0.5)} = 56448

More can be learned about the vertex of a quadratic function at brainly.com/question/24737967

#SPJ1

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2 years ago
Which relationships describe angles 1 and 2?
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