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Eva8 [605]
3 years ago
13

M is the midpoint of PQ. PM = 5x+8. PQ = 76. Find the value of x.

Mathematics
2 answers:
aivan3 [116]3 years ago
4 0

Answer:

x = 6

Step-by-step explanation:

Since M is the midpoint of PQ

PM = MQ = 1/2 PQ

5x+8 = 1/2(76)

5x+8 = 38

5x = 38-8=30

x = 30/5 = 6

const2013 [10]3 years ago
3 0

Answer:

  • x = 6

Step-by-step explanation:

<u>First, let's revise a few definitions.</u>

  • Definition of midpoint: The point that is in the middle of a line.

<u>We know that:</u>

  • M is the midpoint of PQ
  • PM = 5x + 8
  • PQ = 76
  • 2PM = PQ

<u>Work:</u>

  • 2PM = PQ
  • => 2(5x + 8) = 76
  • => 10x + 16 = 76
  • => 10x = 76 - 16
  • => 10x = 60
  • => x = 6

Hence, the value of x is 6 units.

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If x = -6, which inequality is true?
Sveta_85 [38]

Answer:

A

Step-by-step explanation:

-5 - 3(-6) > 10

-5 - -18 > 10

-5 + 18 > 10

13 > 10

3 0
3 years ago
I need help pls and thank you
kobusy [5.1K]

Answer:

unbounded region

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Step-by-step explanation:

4 0
3 years ago
I don't know how to solve this
sergiy2304 [10]
The answer that I got was side  WX = 12 inches

It says that WY is congruent to XY which means that they are the same. That means that XY is also 3m-4. It also says that the perimeter of the triangle is 76 inches.

With this information I set up an equation:

3m-4 + 3m-4 +m = 76

(The number on the right side is the perimeter given to us in the problem and the numbers on the left side are the 3 side lengths).

I combined like terms on the left side and ended up with:

7m-8=76 

I added 8 to both sides of the equation and got 7m=84.

Finally I divided both sides by 7 and got m=12

m is equivalent to side WX..

Hope this helps!
4 0
4 years ago
A dartboard consists of a circle inscribed in a square. The area of the circle is 16π square centimeters. The area of the square
lapo4ka [179]

The solution would be like this for this specific problem:

 

Area of Circle = 16(π)

= 16 * 3.14

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Area of Square = 64

= 64 – 50.24

= 13.76

 

Area of Square but not on the circular board = 13.76 / 64

= 0.215

Percentage value = 0.215 * 100%

= 21.5%

So, <span>to the nearest percent, the probability that the dart lands inside the square but not on the circular dartboard is 21.5%.</span>

4 0
4 years ago
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kifflom [539]

Answer:

Step-by-step explanation:

hello  :

f(x) = (x+3)(x+6)(x+8)

3 0
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