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dedylja [7]
2 years ago
11

Given: PKHE - inscribed, m∠E=120° m∠EPK=51°, PF ∥EH Find: m∠KPF, m∠H.

Mathematics
1 answer:
3241004551 [841]2 years ago
3 0

Answer:

KPF = 9 and H = 129

Step-by-step explanation:

An inscribed quadrilateral in a circle has all diagonal angles add up to 180, so we can use this to find the angles of the quadrilateral.  

H= 180-EPK and K = 180-E so H = 129 and K = 60

Now PF and EH are parallel, so PE is a transversal.   That means FPE = 180 - E = 60.  Now it's pretty easy to solve for KPF = FPE - EPK = 60 - 51 = 9.

Let me know if you don't see how I did any of this and I'll be happy to explain it..

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Two sides of a triangle measure 5 inches and 9 inches. Which of the following is a measure of a possible 3rd side of the triangl
svet-max [94.6K]

Answer:

B. 5 inches

Step-by-step explanation:

This is because of the triangle inequality theorem which states "The sum of the lengths of any two sides of a triangle is greater than the length of the third side." So, since 5+9 is 14 it has to be less than 14. Also, because 5+2 is 7 and that is not greater than 9 it has to be 5 inches.

4 0
2 years ago
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Find the missing length indicated.<br> х<br> 12<br> 9<br> X =<br> units
madam [21]

Answer:

16

Step-by-step explanation:

9/12=12/x

x=16

8 0
2 years ago
Please help me &lt;33333
mariarad [96]
Comment
You have to begin by declaring what g(f(x)) means. It means that wherever you see an x in g(x) you put in f(x).

I
t will look like this to start with
g(f(x)) = (f(x) + 5) / (f(x) 

Now substitute into this for g(-3)

g(x^2 + 5) = (x^2 + 5 + 5)/(x^2 + 5) It's time to use some numbers.
g(- 3) = ((-3)^2 + 10)/( (-3)^2 +5)
g(-3) = ( 9 + 10 ) / ( 9 + 5)
g(-3) = (19)/14 <<<<<< answer.
C <<<< answer. 
8 0
3 years ago
What is the value of x in the right triangle below? Show your work and round your answer to the nearest hundredth. ​
navik [9.2K]

The length of the hypothenuse or the value of x is equal to 19.53

Data;

  • hypothenuse = x
  • adjacent = 11.2
  • opposite = 16
<h3>Pythagoras's Theorem</h3>

To solve this problem, we have to use Pythagoras's theorem which is used to find the missing side in a right angle triangle if we have at least two sides.

The formula for this is

x^2 = y^2 + z^2\\

Let's substitute the values and solve for the missing side

x^2 = 16^2 + 11.2^2 \\x^2 = 256 + 125.44\\x^2 = 381.44\\x = \sqrt{381.44} \\x = 19.53

The length of the hypothenuse or the value of x is equal to 19.53

Learn more Pythagoras theorem here;

brainly.com/question/3317136

6 0
2 years ago
I need help!!!!!!!!!!!​
KiRa [710]

Answer:

its B :)

Step-by-step explanation:

I hope this helps ^^

6 0
2 years ago
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