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siniylev [52]
3 years ago
5

Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened

out.
What is the measure of the third angle?

A) 35°

B) 40°

C) 45°

D) 50°

Mathematics
2 answers:
inysia [295]3 years ago
4 0

B) 40 because if you add the two angles at the bottom which are shown to be congruent, then subtract 180 from the sum of those two, then you are left with your answer
igor_vitrenko [27]3 years ago
4 0

Answer:

The measure of third angle is 40°

B is correct.

Step-by-step explanation:

Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened out.

In figure, we are given the base angle is 70°

For isosceles triangle base angles are equal.

Two angle of a isosceles triangle are 70° and 70°

Let third angle of triangular strips be A

Using angle sum property of triangle ( sum of all three angles of a triangle is 180°)

A+70°+70°=180°

A=180-140 = 40°

Hence, The measure of third angle is 40°

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Explanation:

The<em> hint </em>is that the function f can be written in the form:

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It is a quadratic function, i.e. a parabola.

The maximum point, maximum height, of a parabola is its vertex.

And the x-coordinate of the vertex is at the midpoint between the two x-intercepts.

The time when the rock reaches the road is one x-intercept: t = 2.53 seconds: (2.53, 0).

The other x-intercept is sucht that (x + 2.53) / 2 = 0.69

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  • x + 2.53 = 1.38
  • x = 1.38 - 2.53
  • x = -1.15

Thus, the equation is:

  • f(t) = c(t + 1.15) (t - 2.53).

You can find c by doing t = 0, because at t = 0 the height, f(t), is 22 feet:

  • f(0) = 22 = c (0 +1.15)(0 - 2.53)
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  • 22 = c (-2.9095)
  • c = - 22/(2.9095)
  • c = - 7.561

Then, the function can be written as:

  • f(t) = -7.561(t + 1.15) (t - 2.53) ← answer
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