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Eva8 [605]
2 years ago
13

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

Mathematics
2 answers:
aivan3 [116]2 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]2 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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A square has a side length 9 cm. What is its area? A square has an area of 9 cm2. What is its side length?
Kay [80]

Answer:

Area = 81; Side Length = 3

Step-by-step explanation:

The area of a square is the side lenght squared, and 9² is 81.

The side lengh can be found by taking the square root of the area. √9 = 3

5 0
2 years ago
5. Class 7887 has 2:7 math classes daily. How many math classes do they have
ANTONII [103]

Answer:

56.7

Step-by-step explanation:

2.7 x 21 = 56.7

5 0
3 years ago
sammy's bicycle and tricycles. clarence went to Sammy's and counted 37 sets of handlebars and 95 wheels. How many bicycles and t
Trava [24]

Answer:

16 bicycles and 21 tricycles

Step-by-step explanation:

Both bicycles and tricycles have 1 set of handlebars. Bicycles have 2 wheels while tricycles have 3.

Using this information, set up a system of equations, where b is the number of bicycles and t is the number of tricycles:

b + t = 37

2b + 3t = 95

Solve by elimination by multiplying the top equation by -2:

-2b - 2t = -74

2b + 3t = 95

t = 21

Then, plug in 21 as t into one of the equations:

b + t = 37

b + 21 = 37

b = 16

So, there are 16 bicycles and 21 tricycles

4 0
3 years ago
Find the missing angle.<br><br> 66°<br> 56°<br> 76°<br> 156°
Liula [17]
I think the answer is D
7 0
2 years ago
At a concession stand one person purchased 3 drinks and 3 soft pretzels for a total of $9.00 another person purchased 4 drinks a
kherson [118]

<span>d=drinks
p=pretzels
1st eq. 3d+3p=9.00
2nd eq. 4d+2p=8.50</span>

multiply 1st eq by 2

6d+6p=18.00

<span>multiply 2nd eq by 3
12d+6p=25.50
subtract
-6d=-7.50
d=1.25
3p=9.00-3d</span>

3p=9-3.75

<span>3p=5.25
p=1.75
price of a pretzel=$1.75</span>

<span> price of a drink = $1.25</span>


7 0
3 years ago
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