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pentagon [3]
2 years ago
5

Need help please!!!Given parallelogram MNOP if PN=27 what is NQ ​

Mathematics
1 answer:
likoan [24]2 years ago
8 0

9514 1404 393

Answer:

  NQ = 13.5

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. NQ is half of NP, so is ...

  NQ = PN/2 = 27/2

  NQ = 13.5

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At Billy‘s preschool they have bicycles and tricycles with a total of 57 wheels. The number of bicycles is three less than three
ikadub [295]
Use b for bicycles b and t for tricycles.

We know that each bicycle has 2 wheels, and each tricycle has 3 wheels, and if the entire number of wheels is 57, that means the 

equation would be: 2b + 3t = 57

We can "separate" b by calling it "25 - t" as an alternative, 

2(25 - t) + 3t = 57, or

50 - 2t + 3t = 57,

or 50 + t = 57, so

t = 7 So there must be 18 bicycles and 7 tricycles.

CHECKING:You can check this out by multiplying 7 tricycles x 3 wheels, which is 21,

and 18 bicycles x 2 wheels, which is 36

36 + 21 = 57
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3 years ago
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3 years ago
Find inequality x^4-13x^2 36&gt;0
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7 0
3 years ago
An athlete knows that when she jogs along her neighborhood​ greenway, she can complete the route in 10 minutes. It takes 20 minu
IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking​ rate, so athlete's jogging speed would be x+5 miles per hour.

\text{Distance}=\text{Rate}\cdot \text{Time}

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}

D_{\text{walking}}=\frac{x}{3}

While jogging, we will get D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}

D_{\text{jogging}}= \frac{(x+5)}{6}

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

\frac{x}{3}=\frac{x+5}{6}

Cross multiply:

6x=3x+15

6x-3x=15

3x=15

\frac{3x}{3}=\frac{15}{3}\\\\x=5

Therefore, athlete's walking speed is 5 miles per hour.

Jogging speed: x+5\Rightarrow 5+5=10

Therefore, athlete's jogging speed is 10 miles per hour.

3 0
3 years ago
Help geom !! Transformation!
elixir [45]

Answer:

B

Step-by-step explanation:

Rotating 120

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