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lyudmila [28]
3 years ago
15

If m PQS=16, M SQR=(9x+17),and m PQR=(12x-6) find m PQR Please answer with work

Mathematics
1 answer:
docker41 [41]3 years ago
4 0

Answer:

\angle PQR=30^{\circ}

Step-by-step explanation:

It is given that,

\angle PQS=16^{\circ}\\\\\angle SQR=(9x+17)^{\circ}\\\\\angle PQR=(12x-6)^{\circ}

We need to find the measure of \angle PQR.

From the given figure, \angle PQR=\angle  PQS+\angle SQR

Putting all the values, we get :

12x-6=16+9x+17\\\\12x-9x=16+17+6\\\\3x=39\\\\x=13

\angle PQR=12x-6\\\\=12(3)-6\\\\=30^{\circ}

So, the measure of \angle PQR is 30 degrees.

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3 years ago
the coordinates of the vertex of a parabola in the xy-plane are (-4,k). If the y-intercept of the parabola is 12 and the parabol
svp [43]

The value of k is (A) 20/3.

<h3>What is a parabola?</h3>
  • A parabola is a planar curve that is mirror-symmetrical and roughly U-shaped in mathematics.
  • It fits various seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.
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To find the value of k:

  • y - b = c (x - a)²

Where (a, b) is the vertex and c is the constant.

  • (a, b) = (-4, k)
  • y - k = c (x - (- 4))²
  • y - k = c (x + 4)²

So,

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  • k = 12 - 16c  ...... (1)

Then,

  • (-3, 7) = (x, y)
  • 7 - k = c (1)²
  • k = 7 - c  ...... (2)

Now,

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So, the value of k:

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Therefore, the value of k is (A) 20/3.

Know more about a parabola here:

brainly.com/question/4061870

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The complete question is given below:

The coordinates of the vertex of a parabola in the XY plane are (-4,k). If the y-intercept of the parabola is 12 and the parabola passes through the point (-3,7), then what is the value of k?

(A) 20/3

(B) 16/5

(C) 14/3

(D) 12/5

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In June 2012, Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers,
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Art [367]

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∠2 and ∠6 are corresponding angles and are congruent, hence

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