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UNO [17]
3 years ago
14

Currently stuck on this problem

Mathematics
2 answers:
barxatty [35]3 years ago
8 0

Answer:

116 degrees

Step-by-step explanation:

The sum of all three angles of a triangle is 180 degrees.  Here we know two of these angles immediately:  65 and 51 degrees.  The third is 180 - (65 + 51), degrees, or 64 degrees.

Angle PST and this 64 degree angle form straight angles; their sum is 180 degrees.  We are to find Angle PST.  Do that by subtracting 64 from 180:

Angle PST = 180 - 64 degrees, or 116 degrees.

ivolga24 [154]3 years ago
4 0

Answer:

116°

Step-by-step explanation:

The angles of any triangle will add up to 180°. Since we know the measures of ∠SPR and ∠PRS, we can find the measure of ∠PSR by adding the two measures and subtracting from 180°.

61+51 = 116

180 - 116 = 64

Now we know the measure of ∠PSR. Note that ∠PSR is supplementary to ∠PST, meaning that both values add up to 180. Let's do the math then.

180-64 = 116

This means that the measure of ∠PST is 116°.

Hope this helped!

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Paul [167]

Answer: Vertex = (2, -15)  2nd point = (0, -3)

<u>Step-by-step explanation:</u>

g(x) = 3x² - 12x - 3

      = 3(x² - 4x - 1)

          a=1   b=-4  c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: x = \dfrac{-b}{2a}

x = \dfrac{-(-4)}{2(1)}

      = \dfrac{4}{2}

         = 2

Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3

g(2) = 3(2)² - 12(2) - 3

       = 12  - 24 - 3

       = -15

So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE

Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>

g(0) = 3(0)² - 12(0) - 3

       = 0  - 0 - 3

       = -3

So, an additional point is (0, -3)  ←  PLOT THIS COORDINATE


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Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54
telo118 [61]

The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

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  • B. 6x = 84  
  • D. x = 14

Given the expression 6(x-5) = 54

Expand the expression in parenthesis using the distributive law;

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Add 30 to both sides

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Divide both sides by 6

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Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

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  • B. 6x = 84  
  • D. x = 14

Learn more on equations here; brainly.com/question/2972832

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My answer is D) y = 2(x - 2.5)^2 + 6

I hope it helps


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