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2 years ago

Find the measure of the angle indicated PLEASE HELP

Mathematics

1 answer:

Anna [14]2 years ago

5 0

The measure of the angle is 137 degrees

180 - 60 - 45 = 75
180 - 75 - 68 = 37
180 - 100 - 37 = 43
180 - 43 = 137

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2 years ago

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3 years ago

Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

densk [106]

Answer:

$A.\ y = x^2 - 6x + 13$ is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

$y = a(x-h)^2+k$

where $(h,k)$ is the vertex of the parabola and

$(x,y)$ are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of $x^{2}$ is positive.

Let $a = +1$

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

$\therefore$ $h = 3$

Putting value of a and h in the equation:

$y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k$

Formula used: $(a-b)^2=a^{2} +b^{2} -2\times a \times b$

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing $y = x^2 - 6x + 13$ and $y = x^2-6x+9+k$

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is $A.\ y = x^2 - 6x + 13$

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2 years ago

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3 years ago

5) What is the value of n in the picture? 3n n 14 A) 19 B) 33 C) 57 D) 41.5

svetoff [14.1K]

Ok. because those two angles are sumplimentary, (they equal 180 degrees) we can set up an equations.
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then isolate the variable
4n+14=180
-14 -14
4n=166

then divide to undo the multiplication

4n=166
--- ----
4 4

n=41.5

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3 years ago

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