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svlad2 [7]
1 year ago
12

Use the picture below to solve for the missing information, given PQ = 2x + 8, QR = x + 11, and PR = 5x - 3.

Mathematics
1 answer:
dmitriy555 [2]1 year ago
3 0

Given that Q is a point between P and R, the numerical values of x, segment PQ, QR and PR are 11, 30, 22 and 52 respectively.

<h3>What are the numerical values of x, segment PQ, QR and PR?</h3>

Given the data in the question;

  • Q is a point between P and R
  • Segment PR = 5x - 3
  • Segment PQ = 2x + 8
  • Segment QR = x + 11
  • Numerical value of x, segment PQ, QR and PR = ?

Since Q is a point between P and R.

PR = PQ + QR

Plug in the given values and solve for x.

5x - 3 = ( 2x + 8 ) + ( x + 11 )

5x - 3 = 2x + 8 + x + 11

5x - 3 = 3x + 19

5x - 3x = 19 + 3

2x = 22

x = 22/2

x = 11

Numerical value of segment PQ when x = 11 will be;

PQ = 2x + 8 = 2(11) + 8 = 30

Numerical value of segment QR when x = 11 will be;

QR = x + 11 = (11) + 11 = 22

Numerical value of segment PR when x = 11 will be;

PR = 5x - 3 = 5(11) - 3 = 52

Given that Q is a point between P and R, the numerical values of x, segment PQ, QR and PR are 11, 30, 22 and 52 respectively.

Learn more about equations here: brainly.com/question/14686792

#SPJ1

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The average of eight numbers is 56. When one of the numbers was left out, the mean decreased to 54. What number was left out?
Alexandra [31]

The number that was left out is 70.

<h3>What is the number that was left out?</h3>

Average is the sum of a set of numbers divided by the total numbers in the data set.

Average = sum of numbers / total numbers

  • Sum of numbers when there are 8 numbers = 56 x 8 = 448
  • Sum of numbers when there are 7 numbers = 54 x 7 = 378
  • Difference = 448 - 378 = 70

To learn more about average, please check: brainly.com/question/25842202

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4 0
2 years ago
If P is a point of symmetry, click on the graphic to find the figure that is symmetrical by P.
aleksklad [387]

Answer:

The third figure is the answer (Look to the attached figure

Step-by-step explanation:

* The point of symmetry means

- If a figure or graph can be rotated 180° about a point P

 and end up looking identical to the original, then P is a point

 of symmetry

- The same distance from the central point

  but in the opposite direction.

* Lets look to the four answers

- In the 3rd figure first line up can be rotated 180° about a point P

 and end up looking identical to the second line down, then P

 is a point of symmetry

- The same distance from the point  p

  but in the opposite direction.

* The figure show the answer

8 0
3 years ago
Read 2 more answers
PLZ ANSWER APSP IM IN THE TEST RN!!!
olchik [2.2K]

Answer:

x = 38

y = 25

Step-by-step explanation:

To find x, you do

(2x + 5) = (3x - 33)

Subtract 2x from both sides to isolate x on one side, you get:

5 = (x - 33)

Add 33 to both sides to separate the normal number from the x, you get:

38 = x

From there, you plug x into one of the equations

2(38) + 5

The answer's 81, meaning that angle is 81 degrees. Using supplementary angles, you can find that angle ACD = 99, which you can use to find angle BCE. You'll get this equation:

(4y - 1) = 99

Add one to both sides to get rid of it, you get:

4y = 100

Divide by four, to get the y all alone:

y = 25

I hope this helped!

8 0
3 years ago
Read 2 more answers
Find the value of X?
daser333 [38]
Because we know the midpoint is in the middle, we know that both sides are equal.
So set both = to each other
4x - 1 = 3x + 3

add 1 to both sides

4x=3x+4

then subtract 3x from both sides and because there is always a 1 in front of x the answer would be

x=4
3 0
3 years ago
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Write an equation for the parabola whose vertex is at (4, 12) and which passes through (5, 21)
laiz [17]

Answer:

y - 12 = 9(x - 4)

Step-by-step explanation:

The vertex (h, k) is (4, 12) and the point (5, 21) is on the graph.  Assuming that this is a vertical parabola, opening up (because the coordinate 21 is greater than the coordinate 12), we insert the knowns into  y - k = a(x - h)^2, obtaining

21 - 12 = a(5 - 4), or  9 = a.  With a known, we can write the desired equation:

y - 12 = 9(x - 4)

8 0
3 years ago
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